ANALYSIS OF DATA FROM NASA B-57B

GUST GRADIENT PROGRAM

by

Walter Frost

Ming-Chang Lin

Ho-Pen Chang

and

Erik Ringnes

4PR198 6

RECEIVE[

JWSASTI FACILITY

' (NASA-CR-178736) ANALYSIS OF DAT A FROM NASAN86-236Q U

B-57B COST GRADIENT PBGGRAM final Report

JTenaessee Univ.) 500 p HC A21/HF AQ1 :

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G3/08 15939

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Final Report

Prepared Under

NASA Contract NAS8-36177

and

NASA Contract NAS8-35347

for

George C. Marshall Space Flight Center

National Aeronautics and Space Administration

ANALYSIS OF DATA FROM NASA B-57B

GUST GRADIENT PROGRAM

by

Walter Frost

Ming-Chang Lin

Ho-Pen Chang

and

Erik Ringnes

September 1985

Atmospheric Science Division

The University of Tennessee Space Institute

Tullahoma, Tennessee 37388-8897
ACKNOWLEDGMENTS

The authors wish to express their appreciation and thanks to several

people who were very helpful and to a great extent responsible for this

research effort being accomplished. Realizing that it is not possible to name

everyone who contributed to the effort, it is nevertheless important to

mention some of them. Special acknowledgment is due to John Houbolt, Harold

Murrow, and Robert Sleeper of the NASA Langley Research Center and to Wenneth

Painter, Jack Ehernberger, and to the ground and flight crews of the B-57B

aircraft at the NASA Dryden Flight Research Facility. A special note of

appreciation is also due to Warren Campbell, Margaret Alexander, and Dennis

Camp of the NASA Marshall Space Flight Center for their technical direction

and encouragement. Richard Tobiason (NASA Headquarters) is also gratefully

acknowledged.
TABLE OF CONTENTS

SECTION PAGE

1.0 INTRODUCTION 1

2.0 STATISTICAL ANALYSIS OF DATA 7

2.1 Flight Path Information 8

2.2 Time Histories of Gust Velocities

and Gust Velocity Differences 8

2.3 Average Turbulence Parameters and

Integral Length Scales 9

2.4 Probability Density Function for Gust

Velocities and Gust Velocity Differences 15

2.5 Single-Point Auto-correlation Coefficient

of Gust Velocities 25

2.6 Two-point Auto-correlation Coefficient

of Gust Velocities 27

2.7 Normalized Auto-spectra of Gust

Velocities 33

2.8 Normalized Two-point Auto-spectra of

Gust Velocities 49

2.9 Two-point Cross-spectra of Gust

Velocities 59

2.10 List of All Parameters Measured and

Their Range of Values 60

3.0 CONCLUSION 66

REFERENCES 68

APPENDIX A 69
LIST OF TABLES

TABLE PAGE

1. Gust Gradient Flights During JAWS 1982 4

2. Summary of B-57B Flight Data During JAWS 6

3. Mean Airspeed (m/s) for Flight 6,

July 14, 1982 11

4. Average and Standard Deviation of Mean

Airspeed Difference Between Probes 12

5. Turbulence Intensity for All Runs of Flight 6 13

6. Standard Deviation of Velocity Difference

for All Runs of Flight 6 14

7. Turbulence Length Scales for All Runs

of Flight 6 16

8. The Value of the Parameter r of

Non-Gaussian Probability Density Function

for All Runs of Flight 6 24

m.
LIST OF FIGURES

FIGURE PAGE

1. NASA B-57B Gust Gradient Program 2

2. Comparison of probability density function for gust

velocities and their differences with theory,

Flight 6, Run 42 20

3. Flow chart of non-Gaussian turbulence

probability model 21

4. Comparison of probability density function for gust

velocities and their differences with theory,

Flight 6, Run 5 23

5. Comparison of single-point auto-correlation of

gust velocities with theoretical model;

composite of Runs 2 through 13 28

6. Comparison of single-point auto-correlation of

gust velocities with theoretical model;

composite of Runs 14 through 23 29

7. Comparison of single-point auto-correlation of

gust velocities with theoretical model;

composite of Runs 24 through 33 30

8. Comparison of single-point auto-correlation of

gust velocities with theoretical model;

Composite of Runs 34 through 46 31

9. Normalized auto-spectra of gust velocities showing

spike in the longitudinal spectra, Flight 6, Run 5 37

10. Spectra of variables used to compute Wx 39

11. Normalized auto-spectra of gust velocities showing

influence of the Houbolt correction factor,

Flight 6, Run 42 41

12. Comparison of theoretical and FFT computer

algorithm for an idealized time history
X(t) = e~a\t\ with and without correction .......... 42

13. Comparison of auto-spectra of gust velocities

with von K arm an model, Runs 2 through 24 ......... 45

14. Comparison of auto-spectra of gust velocities

with von Karman model, Runs 25 through 46 ........ 46

15. Illustration of selection of reference $(/c

for normalized auto- spectra of WXR velocity,

Flight 6, Run 42 ..................... 50

16. Normalized auto-spectra of gust velocities,

Flight 6, Run 42 ..................... 51

17. Coincident spectra and quadrature spectra of

gust velocities, Flight 6, Run 42 .............. 54

18. Terminology of the two-point auto-correlation

development ....................... 56

19. Comparison of the two-point auto-spectrum with

Houbolt and Sen's normal equation and the

rederived equation, Flight 6, Run 42 ............ 58

20. Coincident spectra and quadrature spectra of

gust velocities, Flight 6, Run 39 .............. 61
NOMENCLATURE

Mean airspeed of aircraft, m/s

C,VL Aircraft airspeed computed from impact pressure

at right wing tip boom, nose boom, and left

wing tip boom, respectively, m/s

R, C, L Designation of right wing tip, nose,

and left wing tip, respectively

L Integral length scale, m

X, Y, Z Longitudinal, lateral, vertical directions

with respect to aircraft frame

Wx, WY , W% Gust velocity component in X, Y, Z direction,

respectively, m/s

n Number of degrees of freedom in normalized

Student T probability density function

r An adjustable number in a non-Gaussian

probability density function

/ Cyclic frequency, Hz

s Spatial lag distance, m

Rx(r) Single-point auto-correlation function in

time domain, m2 /sec2

BX(T) Single-point auto-correlation coefficient

in time domain

Bwx(

8

)

 von

 Karman single-point auto-correlation

coefficient in spatial lag domain

VI
Rx(s,r) Two-point auto-correlation function,

m

2

/sec2

BX(S,T) Two-point auto-correlation coefficient

RX,X'(S,T) Two-point auto-correlation function,

11 *i

m /sec

RWXWX($) Auto-correlation for two points at

a spatial distance of f, m2/sec2

Rwnwn($) Conventional longitudinal correlation for

two points at a spatial distance of f, m2/aec2

RWPWP(S) Conventional lateral correlation for two

points at a spatial distance of f, m2/sec2

Sx,x'(s,f) Two-sided two-point auto-spectrum density '

function, m2/sec

Sx(f) Two-sided single-point auto-spectrum density

function, m2/sec

Cx,x'(s,f) Coincident spectral density function, the

real part of a one-sided spectrum density

function, m2/sec

Qx,z'(s, f) Quadrature spectral density function, the

imaginary part of a one-sided spectrum density

function, m2/sec

M Mach number of aircraft

Tc Computed free-stream temperature, °C

TO Total temperature, °G

VII
Free-stream static pressure measured at

the airplane nose boom, K.Pa

C.F. Houbolt's digitizing correction factor

qc Impact pressure, Pa

qcR,qcc,qcL Impact pressure measured at aircraft

right wing tip boom, nose boom, and left

wing tip boom, respectively, Pa

Be Bandwidth, Hz

Tr Total time record of a turbulence data

set, second

Tri Time length of each segment of a turbulence

data set, second

q, SEG. Number of separate segments for a turbulence

data set

Er Normalized standard error, \i B

1

T

T Total time, seconds

East-west component of the airplane inertial

velocity measured by INS, positive toward

east, ml sec

North-south component of the airplane inertial

velocity mesaured by INS, positive toward

north, ra/'sec

p(x) Probability density function
Greek Symbols

a Standard deviation, m/sec

&WX)0WY)&wz Standard deviation of gust velocity

components, WX, WY, WZ, respectively

K Wave number, u/V,m~1

w Spatial frequency, rad/sec

T Time lag, sec

f Degrees of freedom, 2BeTr

At Time increment, sec

A Difference

d_

dt

$ Airplane heading measured in a horizontal

plane clockwise from time north, rad

^ Yaw rate measured by body-mounted yaw-rate

transducer (positive with nose going right)

rad/sec

$(/c) Spectrum in the domain of wave number,

m

3

/(sec2 /rad)

$x(f) One-sided single-point auto-spectrum in

the domain of cyclic frequency, m2/sec

^WX(K)>^WY(K-))^WZ(K') Auto-spectrum density function of the theoretical

von Karman model, m3/(sec2/rad)

$'K^

q Spectrum at frequency /« of the
qth time slice,

Spectrum in the domain of spatial

frequency, m^

^,z'(*5/) One-sided two-point auto-spectrum

density function, m2/sec

6x,x'(a,f) Phase angle of $«,,'(«, /), rad

Superscripts

- A bar over a symbol indicates average over

an entire run in an aircraft flight

A caret over a symbol indicates the quantity

is given with respect to the mean for the

entire run in an aircraft flight
1.0 INTRODUCTION

The purpose of the Gust Gradient Program is to study low-altitude,

spanwise turbulence during takeoff, landing, and level flight near severe

weather formation where non-homogeneous turbulence may exist. Traditional aerodynamic analyses treat turbulence as a gust acting uniformly

over the entire aircraft at any given instant. This assumption is reasonable

for a small aircraft encountering turbulence with long length scales, but for

large aircraft and small turbulence length scales, such as occur near the

ground or under storm conditions, spanwise variation of turbulence gusts is

not negligible. The gust velocity distribution along the span can generate

rolling and yawing moments. If the velocity variation is large and develops

suddenly, the pilot will have difficulty controling the airplane, and may even

lose control. Also, the structural integrity of the aircraft may be severely

challenged. Theoretical analyses have been developed which do address

the effects of spanwise gust distributions (see for a review, Frost and Lin

(1983)). These analyses call for two-point spatial turbulence correlations

(i.e., cross-correlations) which are computed based on the assumption of

isotropic turbulence. However, very few flight experiments have been carried out to measure these correlations and, thus, provide verification of the

isotropic turbulence model assumption.

The NASA B-57B Gust Gradient Program was initiated to provide

these measurements. The B-57B was instrumented with three probes: one

at the left wing tip; one at the center on the nose; and one at the right

wing tip. Figure 1 conceptually illustrates the Gust Gradient Program.

The lower right-hand side shows the B-57B aircraft with the three probes.
ORIGINAL PAGE IS

OF POOR QUALITY

E

to

01

o

o.

<u

•5

<o

co

r^.

LT)

i

CQ

oo

dl

i.

O)
The upper right-hand side of the figure shows gust wind velocity variation

along the wing span. Obviously, asymmetric wind variation will generate

rolling moments. The upper middle sketch illustrates the difference between

a uniform gust and a nonuniform gust along the wing span. The lower lefthand side of Figure 1 shows the conceptual flight path of the B-57B aircraft,

including takeoff, landing, and level flight. For safety reasons, the aircraft

only flew outside the storm cells instead of through them to detect the near

wind field influenced by the storm.

The data presented in this report were gathered when the Gust Gradient Program joined the Joint Airport Weather Studies (JAWS) Project

in Denver, Colorado, from July 7 to July 23, 1982. During the JAWS

Project, 11 data collection flights were flown. These flights were carried

out in a controlled airspace and it was not possible to fly in all details the

conceptual flight paths. Therefore, most of the flight paths are straight

and level but are near, in many cases, severe microbursts. Table 1 shows

the flight number, date, start time (Mountain Daylight Time, MDT), end

time (MDT), and general comments about each flight. Only three flights

(Flights 6, 7, and 10) encountered severe turbulence. Analyses of the data

gathered on these three flights have been carried out.

The Gust Gradient Program was a joint program between three NASA

centers. NASA Dryden Flight Research Center operated and maintained

the aircraft. The raw data tapes were sent to NASA Langley Research

Center where the initial conversion into engineering units was carried out.

NASA Marshall Space Flight Center managed the program.

The data were stored on magnetic tapes in binary form. The tapes

are then sent to The University of Tennessee Space Institute (UTSI) for
Table 1. Gust Gradient Flights During JAWS 1982

FLIGHT DATE START END

1 7/7 15:41:38 15:59:39

2 7/8 14:49:11 16:40:35

3 7/9 13:17:10 15:42:34

4 7/11 14:46:07 17:02:44

5 7/13 15:20:18 16:44:56

6 7/14 13:41:13 15:55:21

7 7/15 14:08:13 16:26:20

8 7/17 15:49:35 17:17:56

9 7/20 15:59:30 18:35:52

10 7/21 16:05:05 18:04:40

11 7/22 13:36:09 15:24:45

COMMENTS

Landmark Familiarization Flight

Light to Moderate Turbulence

Light to Moderate Turbulence

with Data Correlation with

JAWS 02 (King Air 200)and

JAWS 30 (HS 125)

Moderate Turbulence and Lightning

ILS Approaches to Stapleton in

Light Turbulence

Severe Turbulence and Outflows

Visible on Radar

Outflows, Severe Turbulence, and

ILS Approaches

Rain with Light to Moderate

Turbulence

Light to Moderate Turbulence

with some ILS Approaches

Good Downburst with Moderate to

Severe Turbulence

Light and ModerateTurbulence
analysis. Because of the different computer systems at NASA Langley

(CDC System) and UTSI (VAX System), programs for converting data have

been developed. Of the three flights analyzed, results from Flight 6 on July

14, 1982, are reported here. The flight data include six tapes constituting

44 runs. Two runs are of too short a time duration for meaningful statistical

analysis and have been excluded. Flight 7 data for July 15, 1982, includes

one tape of five runs; and Flight 10 data for July 21, 1982, includes two

tapes of 10 runs. One run for Flight 10 is also too short for meaningful

analysis. These details are summarized in Table 2. The statistical analysis

of the data for Flight 6 only is given in this report. The analysis procedures

and description of results is described in Section 2.0. Comprehensive data

sets are given in Appendix A. Conclusions drawn from the analysis are

presented in Section 3.0.
Table 2. Summary of B-57B Flight Data During JAWS.

Flight No. of No. of No. of Runs

No. Date Tapes Runs Eliminated

6 July 14, 1982 6 44 2

7 July 15 , 1982 1 5 0

10 July 21, 1982 2 10 1

Short Runs:

Run No. No. of Datum Points

Flight 6, Run 7 N = 1207

Flight 6, Run 9 N = 647

Flight 10, Run 17 N = 847
2.0 STATISTICAL ANALYSIS OF DATA

Statistical analysis of the B-57B Program data for 44 runs from Flight

6 on July 14, 1982, is described in this section. General information and

statistical values for each run are given in Appendix A. For each run, ten

pages containing the following information per page are provided:

1st Page: Flight path information;

2nd Page: Time histories of gust velocities and gust

velocity differences;

3rd Page: Average turbulence parameters and integral

length scales;

4th Page: Probability density function for gust velocities

and gust velocity differences;

5th Page: Single-point auto-correlation coefficient of

gust velocities;

6th Page: Two-point auto-correlation coefficient of gust

velocities;

7th Page: Normalized auto-spectra of gust velocities;

8th Page: Normalized two-point auto-spectra of gust

velocities;

9th Page: Two-point cross-spectra of gust velocities;

10th Page: List of all parameters measured and their

range of values.

The method of computing the statistical results presented in Appendix

A is described in detail in the following subsections.
2.1 Flight Path Information

Flight direction on a topographical map, the altitude of the flight relative to the terrain contours, and horizontal wind vector recorded along the

flight path are shown and plotted on the 1st page for each run in Appendix

A. Also tabulated on these pages is the date, the time (MDT) at which the

run began, and the duration of the run in seconds.

The terrain over which the B-57B flew, in most cases, was flat. The

altitude of each run relative to the ground ranges from 250 feet in Run 23

to 2600 feet in Run 3. Most runs are flown at an altitude where it can be

assumed that the ground does not influence the turbulent wind field. In

Runs 23 and 24, this assumption cannot be applied.

In some runs, the wind direction is nearly perpendicular to the flight

path (see Run 2 as an example). In other runs, the wind direction is along

the flight path, as in Run 16 and Run 24. Many runs have a nearly constant

wind direction, as in Runs 2, 14, 15, 18, 20, 24, 34, 37, and 39. But in Runs

3, 4, 11, 13, 16, 23, 25, 26, 30, 31, 40 and 43, the wind direction changes

substantially along the flight path. This suggests the B-57B airplane may

have flown near a microburst. A microburst is a downdraft which, at the

surface, spreads out in all radial directions. The diameter of a microburst

is less than 4 km. An aircraft flying through a small-scale microburst in a

takeoff or landing approach will first encounter increasing head winds, then

the downdraft, and finally, increasing tail wind. The lift of the aircraft

will increase initially, but later will be drastically reduced due to loss of

airspeed. Several accidents have been contributed to microbursts.

2.2 Time Histories of Gust Velocities and Gust Velocity

Differences

8
The 2nd page for each run in Appendix A shows the gust velocity time

histories at the left wing tip, the center, and the right wing tip. Also, spatial velocity differences for all combinations of the three probes are plotted

for the longitudinal, lateral, and vertical velocity components. The sampling rate is 40 per second. Only 120 seconds worth of data is plotted for

illustration purposes, but the total data record is used in all analyses.

There are no great variations between velocities measured at the three

positions. As is later shown, the length scale of the turbulence is larger than

the wing span of the B-57B airplane (19.5 meters); and thus the difference

between the wind measurement at each of the three probes is small. The

velocity difference between any two positions is calculated. If the ratio of

velocity difference to airspeed is large, the spatial variation of turbulence

is significant. For example, in Run 17, Flight 6, the maximum velocity

difference of the vertical component between the right wing tip and the

center is 15 m/s, and the mean airspeed is 107 m/s. This represents a

14 percent spatial wind variation to airspeed ratio, which is significant in

terms of airplane controlability. Inspection of the lateral wind component

for Run 10 and Run 27, also in Run 28 after 50 seconds of the run has

elapsed, indicate these data are bad. The source creating these bad data is

not presently known.

2.3 Average Turbulence Parameters and Integral Length Scales

The 3rd page for each run in Appendix A is a tabulated listing of the

average values of several important turbulence parameters for the left, center, and right probes designated with subscripts L, (7, and R, respectively.

The statistical parameters include mean airspeed, standard deviation of
the gust velocity, standard deviation of the gust velocity difference, and

the integral length scale. In analyzing the data, the total time history

is truncated such that the total record is a multiple of segments of 512

(or 1024) datum points. The reasdm for segmenting the data files will be

explained later.

Table 3 shows the mean airspeed for all runs in Flight 6. The average

mean airspeed for all runs is 105 m/s. The mean airspeeds at the individual

right, center, and left probes are l(k>.0, 104.2, and 105.2 m/s, respectively.

The average and standard deviation of the mean airspeed differences between all three probes and the average value at individual probes are shown

in Table 4. The mean airspeeds at the right and left probes are larger than

the mean airspeed at the nose by 1.82 and 1.03 m/s, respectively. This is

believed to be due to the influence! from the unsymmetric wake produced

from the nose of the airplane.

Table 5 lists the standard deviation of gust velocities for all runs of

Flight 6. The standard deviation of the gust velocities varies from 0.65 to

5.93 m/s for the longitudinal component, and from 0.73 to 7.48 m/s for the

lateral component. Bad data produce unreasonably high values for Runs

10 and 27. The vertical gust component standard deviation ranges from

0.62 to 4.25 m/s. The standard deviation of the gust velocity differences lie

between a low of 0.37 and a high of 1.97 m/s for the longitudinal component.

The lateral gust component standard deviation ranges from 0.29 to 1.79

m/s, and the vertical component from 0.34 to 1.96 m/s. Table 6 lists the

standard deviations of the gust velocity differences. The standard deviation

of the gust velocity, itself, is always larger than the standard deviation of

the gust velocity difference between probes. This is expected because in the

10
Table 3. Mean Airspeed (m/s) for Flight C, July 14, 1982.

Run

No.

2

3

4

5

6

8

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

y j

121.2

111.5

108.4

104.0

127.2

101.6

106.4

106.2

107.8

112.1

102.2

101.5

107.0

97.9

103.5

96.6

103.3

96.4

102.5

103.8

102.9

Kc.

120.3

110.7

107.7

103.3

125.9

100.7

105.2

105.1

106.7

110.9

101.3

100.5

105.9

96.8

102.4

95.5

102.2

95.6

101.6

102.7

101.9

VJL

122.2

112.4

109.5

105.0

128.0

102.4

107.0

106.9

108.6

112.8

103.1

102.4

107.8

98.5

104.1

97.3

104.0

97.6

103.4

104.5

103.7

Run

No.

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

46

yr

104.8

108.0

105.9

106.2

106.1

106.4

102.5

98.4

97.3

104.4

107.6

107.8

104.5

94.9

107.0

105.8

105.1

110.3

102.7

106.9

104.9

y r

103.0

106.2

104.1

105.1

104.9

105.2

101.5

97.6

96.4

103.4

106.6

106.8

103.4

94.0

106.0

104.6

104.1

109.2

101.7

105.8

103.8

yR

104.2

107.3

105.0

106.9

106.7

107.0

103.3

99.3

98.2

105.3

108.4

108.7

105.2

95.7

107.9

106.4

106.0

111.1

103.5

107.7

105.5

11
Table 4. Average and Standard Deviation of Mean

Airspeed Difference Between Probes.

|= 1.82m/a ORC = O.OQm/a

|= 1.03m/5 acL = O.Um/s

= 0.15m/a

VR = 106.02m/s

= 104.2 m/3

= 105.23TO/3

12
Table 5. Turbulence Intensity for All Runs of Flight 6.

Run No.

2

3

4

5

6

8

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

46

1.22

3.73

1.03

1.26

0.98

2.31

3.12

3.87

2.35

4.75

0.91

1.17

3.39

3.75

4.09

2.41

2.10

3.48

2.44

2.44

1.21

3.50

2.56

4.96

0.72

3.84

3.21

2.01

1.50

4.39

2.53

2.01

2.49

2.28

5.49

5.82

2.14

2.47

3.46

4.85

3.26

3.19

1.12

3.68

0.97

1.19

0.93

2.46

3.11

3.80

2.29

4.62

0.93

1.14

3.39

3.75

4.24

2.42

2.13

3.46

2.34

2.42

1.16

3.44

2.53

4.94

0.65

3.82

3.01

1.91

1.53

4.52

2.48

1.91

2.44

2.22

5.51

5.75

2.06

2.40

3.43

4.74

3.12

2.98

1.13

3.75

0.98

1.26

0.97

2.71

3.17

3.88

2.39

4.69

0.95

1.23

3.41

3.81

4.40

2.45

2.11

3.67

2.48

2.41

1.19

3.49

2.56

5.06

0.70

3.92

3.04

2.04

1.62

4.68

2.59

2.09

2.48

2.27

5.75

5.93

2.15

2.43

3.49

4.82

3.27

3.04

1.01

1.73

1.91

1.97

0.86

3.50

20.88

3.25

1.64

2.37

0.73

1.85

1.13

4.77

4.14

3.55

2.25

3.00

4.06

7.45

0.74

6.04

5.11

314.62

0.80

2.10

4.73

5.28

2.79

2.42

2.01

3.32

4.26

4.41

3.29

3.04

2.80

2.06

2.67

3.35

3.53

3.28

1.00

1.81

1.92

2.02

0.85

3.53

20.50

3.38

1.66

2.37

0.76

1.86

1.15

4.77

4.21

3.62

2.40

3.30

4.00

7.48

0.78

5.97

5.14

309.15

0.82

2.18

4.76

5.19

2.81

2.46

2.08

3.35

4.21

4.48

3.48

3.08

2.86

2.10

2.69

3.48

3.55

3.37

0.96

1.77

1.97

1.97

0.86

3.54

20.63

3.28

1.54

2.31

0.73

1.87

1.11

4.64

4.11

3.44

2.33

3.27

3.87

7.44

0.80

5.92

5.06

312.16

0.79

2.21

4.72

5.16

2.79

2.29

2.02

3.28

4.18

4.45

3.41

3.06

2.85

2.08

2.63

3.50

3.59

3.22

1.40

2.24

1.22

1.14

0.68

3.95

2.60

3.44

2.09

2.36

0.94

0.98

1.19

3.30

4.25

3.10

3.77

3.57

3.58

1.57

0.95

2.26

2.10

0.83

0.72

2.38

2.53

1.51

1.41

2.91

1.99

2.28

1.85

1.63

3.24

2.84

2.99

2.49

2.83

3.09

2.72

2.78

1.42

2.04

1.20

1.09

0.62

3.87

2.59

3.39

2.03

2.22

0.87

0.74

1.17

3.31

4.16

3.11

3.51

3.42

3.64

1.55

0.94

2.21

1.89

0.83

0.71

2.22

2.40

1.47

1.30

2.81

1.82

2.09

1.70

1.52

3.09

2.69

2.92

2.31

2.71

2.8£

2.57

2.50

1.45

2.10

1.23

1.17

0.65

4.65

2.71

3.45

2.15

2.25

0.98

0.94

1.20

3.41

4.09

3.19

3.57

3.44

3.68

1.55

1.07

2.43

2.00

0.82

0.68

2.42

2.42

1.53

1.39

2.92

2.04

2.20

1.92

1.62

3.26

2.84

3.65

2.44

2.72

3.00

2.70

2.68

13
Table 6, Standard Deviation of Velocity Difference for All Runs of Plight 6,

Run No.

2

3

4

5

6

8

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

46

0.49

0.64

0,49

0.53

0.37

1.12

1.00

1.23

0.77

0,59

0.50

0.55

0.43

1.17

1.45

1.13

1.13

1.51

1.11

0.59

0.43

0.97

0.88

0.47

0,43

1.01

0.98

0.74

0.65

1.09

0.89

0.91

0.90

0,72

1.35

1.13

0.88

1,01

1,00

1,16

1,10

1,39

0.51

0,65

0.53

0.53

0.38

1.02

1.07

1.19

0.71

0.60

0.51

0.54

0.45

1.26

1.46

1.17

1,28

1.55

1.24

0.63

0.44

0.91

0.96

0.51

0.44

1.08

0.96

0.82

0.72

1.12

0.94

0,99

0.88

0.73

1.35

1,17

0,97

1,02

1,03

1,24

1.12

1.43

0.71

0.82

0.67

0.68

0.48

1.30

1.31

1.54

0.89

0.76

0.60

0.70

0.56

1.45

1.67

1.46

1.50

1.97

1.44

0.75

0.&3

1.18

1.21

0.64

0.56

1.34

1.21

1.04

0.86

1.37

1.19

1.26

1.12

0.91

1.70

1,43

1.14

1.24

1.24

1.49

1.38

1,80

0.39

0.60

0.46

0.48

0.29

1.11

1,05

1,26

0.76

0.56

0.45

0.49

0.39

1.24

1.52

1.27

1.34

1.79

1.08

0.58

0,40

0.94

0.87

5.66

0.39

1.10

1.00

0.77

0.63

1,07

0.87

0.88

0,86

0.73

1,39

1,10

1,01

0,95

0.97

1.24

1.04

1,37

0,39

0.59

0,43

0,46

0,33

1.02

1,10

1,28

0.79

0,57

0,43

0.47

0.41

1.32

1.54

1.19

1.42

1,61

1.19

O.S8

0.40

0,95

0.92

3.37

0.35

1.09

0,94

0.75

0.68

1.09

0.90

0.92

0,85

0.69

1.35

1.10

0.96

0.97

0.98

1,25

1.08

1.39

0.40

0.65

0,48

0.51

0.32

1.11

1.21

1.36

0.82

0,62

0,47

0,53

0.44

1.41

1.68

1.29

1.37

1.78

1.22

0.64

0.43

1.02

0.92

3.10

0,38

1.08

1.01

0.77

0.72

1.19

0.95

0.91

0,90

0,75

1.43

1.15

1.04

1.04

1.06

1.39

1.19

1.43

0.48

0.66

0.52

0.56

0.34

1.34

1.08

1.34

0.85

0.65

0.54

0.52

0.46

1.48

1.66

1,44

1.45

1.63

1.33

0.67

0.41

1.05

0.95

0.46

0.42

1.17

1.12

0.86

0.70

1.28

1,04

0.95

0.97

0.81

1.47

1.31

1.09

1.11

1.14

1.48

1.24

1.56

0.46

0.72

0.48

0.52

0.36

1,23

1.17

1.35

0.86

0.68

0.51

0.45

0.45

1.47

1.62

1.29

1.33

1.70

1.33

0.69

0.46

1.06

1.00

0.51

0.43

1.22

1.03

0,95

0,74

1,22

0.99

1.07

1.02

0.87

1.48

1.29

1.05

1.17

1,16

1.52

1.28

1.53

0.54

0.83

O.S6

0.60

0,38

1.52

1.34

1.53

0.93

0.77

0.61

0.56

0.51

1,50

1.93

1.69

1.66

1.96

1.47

0,75

0.50

1.19

1.05

0.53

0.49

1.30

1.29

0.96

0.78

1.39

1.13

1.15

1.22

0.97

1.61

1.47

1.27

1.31

1.32

1.59

1.43

1.79
gust velocity difference, the low-frequency content of the data is effectively

removed by the differencing process; but the gust velocity, itself, includes

both low and high frequencies.

The integral length scale is obtained by integrating the one-point spatial lag auto-correlatiojj coefficient from zero to infinity. Theoretically, the

auto-correlation coefficient converges to unity at zero lag and zero at large

spatial lags. Due to noise in the measured data, the auto-correlation coefficient may oscillate about zero. The integral length scale is, therefore,

obtained by integrating the one-point auto-correlation coefficient to the

point where the auto-correlation first becomes zero.

Table 7 lists the integral length scale for all runs of Flight 6. The

length scales of the lateral and the vertical components are multiplied by

a factor of two as is suggested in the literature. The integral length scales

range from a low of 139 meters to a high of 1929 meters for the longitudinal

component, from a low of 105 meters to a high of 3824 meters for the lateral

component, and from a low of 110 meters to a high of 1697 meters for the

vertical component. In general, the integral length scales of the vertical

component are smaller than the integral length scales of the longitudinal

or lateral components.

2.4 Probability Density Function for Gust Velocities and Gust Velocity

Differences

The probability density function for the turbulent wind velocities is

defined by the expression:

_ Urn Prob[x < x(t] < x + Az]

15
Table 7. Turbulence Length Scales for All Runs of Flight 6.

Run No.

2

3

4

5

6

8

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

46

1163

1038

216

722

599

387

896

622

367

1300

339

505

1546

250

261

194

362

146

149

776

821

1055

753

1914

402

592

971

890

629

1912

773

186

460

354

1128

1349

437

911

824

1080

503

420

1329

1043

302

801

599

411

894

645

359

1270

373

500

1535

251

258

190

436

153

139

799

840

1014

769

1891

124

599

955

901

656

1929

718

184

439

353

1123

1335

424

876

790

1082

464

370

1272

1042

260

763

655

411.9

866

642

379

1275

337

480

1540

264

255

190

376

166

151

807

805

1004

709

1913

415

592

930

915

674

1914

671

184

415

349

1140

1337

368

905

814

1107

446

370

627

559

1141

2932

651

1179

924

291

2516

125

1733

697

2192

1155

1467

312

275

1106

3824

1218

2002

1734

224

642

634

2074

2676

1798

878

638

788

1632

2072

813

811

645

802

2172

2336

877

468

550

541

1116

2878

718

1122

896

290

2448

105

1757

637

2138

1136

1560

128

258

1048

3736

1032

1940

1699

220

847

553

2004

2592

1735

813

592

753

1588

2036

719

776

613

715

2118

2226

827

454

645

554

1159

2920

698

1214

908

324

2562

124

1824

640

2208

1198

1579

144

253

1053

3776

1278

2014

1706

222

869

604

2038

2628

1806

744

596

791

1637

2070

680

806

658

706

2088

2322

831

506

1467

1050

694

351

875

522

286

827

334

1539

186.2

712

1136

261

425

307

167

158

478

811

1108

247

291

443

862

379

636

110

221

1079

834

361

297

224

246

258

562

235

451

479

647

155

1592

976

678

405

866

560

302

1161

392

1631

198

694

1237

277

520

330

205

194

541

1021

1256

261

304

1060

858

387

600

215

224

1323

484

397

357

223

267

287

556

2<50

511

581

7''1

178

1563

940

617

411

477

538

267

1006

375

1697

382

675

1169

246

428

308

198

158

496

767

1469

258

343

303

853

385

581

116

222

1237

1115

363

339

212

249

265

523

237

461

505

740

161

16
where x(t) may be Wx, Wy, Wz, AWx, AWV, or AWz, respectively, and

Prob [x < x(t) < x + Arc] is the probability that the turbulence wind

velocity at a time t lies within a specified speed interval. The Gaussian

probability density function is given by:

where x is the mean value of x(t) and CT is the standard deviation of wind

velocity. The normalized Gaussian density distribution is used in the comparison with the experimental data.

The 4th page for each run in Appendix A contains the probability

density function of the turbulence wind velocities. Data measured by the

B-57B airplane for all three different probe positions and for all three velocity components (longitudinal Wx, lateral, WY, and vertical Wz) are

plotted. The normal probability density function (solid line in each figure) is superimposed for comparison. The upper half of the figure shows

probability distributions of the three individual gust velocity components.

On the bottom half of the figure, the probability distributions of the gust

velocity differences are shown. The letters CR, CL, and RL indicate the

probe positions between which the difference is calculated: CR refers to

the right wing tip and the center; CL refers to the center and the left wing

tip; and RL refers to the right and left wing tips. The results of these

probability density calculations for the turbulence measured during Flight

6 do not fit the normalized Gaussian distribution very well. One reason

may be the short time record used in the computation. For example, in the

17
time history for Run 16, the wind velocity of the longitudinal component,

Wx> g°es from a large positive value to a small negative value over the duration of the run. After becoming a negative Wx, it never again obtains a

positive value, however. In turn, the probability density of the longitudinal

velocity component for this run, Run 16, is not of a normalized form. The

reverse situation (going from a negative value to a positive value) occurs

to the longitudinal component in Runs 27, 38, and 39, and to the lateral

component in Runs 23, 25, 26, 31, and 37.

When comparing the velocity difference between two different positions, the probability density function is symmetric or more nearly the

Gaussian form. Nevertheless, the experimental probability exceeds the

magnitude of the theoretical Gaussian probability at the most probable

velocity.

The results obtained from Runs 10 and 27 for the lateral component,

and in Run 28 for all three components indicate bad data.

Since the normalized Gaussian probability density underestimates the

probability of velocities near the mean velocity, and tails of the distribution while overpredicting intermediate values, new probability models were

investigated.

The Student T probability density function was first analyzed. Bandat and Piersol (1971) reported that the normalized Student T probability

density function is given by:

P(X] =

18
where n is the number of degrees of freedom. A comparison of Student

T (with n = 2), the Gaussian probability, and a sample of the the measured data is shown in Figure 2. The Student T distribution, however,

underestimates values near the mean velocity even more than the Gaussian

probability. When the degrees of freedom approach infinity, the Student T

model becomes identical to the Gaussian form. Since the measured data

are always higher than the Gaussian model near zero (mean velocity), the

Student T model is not a good distribution for modeling atmospheric turbulence.

Another distribution used to correlate the data is a non-Gaussian probability density model by Reeves, et al. (1974). This model combines three

independent Gaussian functions, a(t), 6(t), and c(t). The procedure of combining these functions is shown in Figure 3. The first step is to multiply

the Gaussian probability density function a(t) by b(t). The probability

distribution for the product d(t) = a(t) b(t) is:

f°° \ t \ tx\ , i \ ( x\\ **!

\Pa(ri)pb(-)+Pa(-ri)pb(--)\--

Jo L *? *? J *?

This new probability function is then added to the Gaussian function c(i)

after first multiplying both functions by appropriate scale factors. The

resulting variate u(t)

u(t) = c(t)-

v'l + r2 v ' VT + r2

then has non-Gaussian probability density function:

19
Non-Gaussian

Gaussian

Student T

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

Normalized Velocity Differences (Standard Deviations)

Figure 2. Comparison of probability density function for

gust velocities and their differences with

theory, Flight 6, Run 42. (n = 2, r = 1.5)

20
a(t)

b(t)

multiply

c(t)

/I + r2

1/1 + r2

sum

^ u(t)

scale factors

Figure 3. Flow chart of non-Gaussian Turbulence

probability model.

21
.. _ 1(1 + r')* ___ _

2 < 7

/-,

/„

 ll

where r is an adjustable parameter. A detailed derivation of this equation

is given by Reeves, et al. (1974 and 1976). The range of the parameter r is

from zero to infinity. If r equals zero, the function is exactly the Gaussian

function; however, as r increases, the value of the non-Gaussian probability

density function at zero increases. The non-Gaussian probability density

function with an r value equal to 1.5, the Student T probability density

function with the degree of freedom, n, equal to 2, and the Gaussian probability density function are compared with typical measured data in Figure

2.

The non-Gaussian density function fits this particular set of measured

data best for r = 3, as shown in Figure 4. By adjusting r, the non-Gaussian

form provides the closest fit to the experimental values. The value of r

which gives the best fit of the data, however, changes for different velocity

components and from run to run. Hence, the value of r depends upon the

velocity component being curve fit as well as the particular run. Table 8

lists suitable values of r for the three components of the gust velocities and

gust velocity differences from Flight 6. Bad data sets are marked with the

symbol X. For some data sets, the shape of the probability density is not

a symmetric bell shape (for example, the longitudinal component of gust

velocity for Run 3), and these runs are marked with a A symbol. The r

value varies from 0.5 to 7.5. The average value for all runs is r = 2. The

standard deviation of the distribution for r is slightly larger for gust velocity

than for gust velocity difference. On the other hand, the mean values of

22
Non-Gaussian

Gaussian

Student T

i.o

0.8

R - Right

 w

x

_C - Center _

L - Left

5. -5. 5. -5.

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized' Velocity Differences (Standard Deviations)

Figure 4. Comparison of probability density function for

gust velocities and their differences with theory,

Flight 6, Run 5. (n = 2, r = 3)

23
Table 8. The Value of the Parameter r of Nou-'Jaussian Probability Deusity Function for All Runs of Flight 6.

Run No. rW]

2

3

4

5

6

8

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

46

rera«

A

A

3

2

1

4

A

A

2.5

A

1

1.5

A

3.5

1

2

1

3.5

2.5

3.5

1.5

A

3.5

A

X

2

A

1.5

1.5

2.5

2

1

A

3

A

A

1.5

1

1.5

A

1

1

: 2

2.5

A

2.5

2.5

2

3

X

1

1.5

2

1

A

1.5

A

1.5

A

1.5

2.5

3

A

2.5

A

A

X

X

1

A

A

1

1.5

1

1.5

A

A

1

0.5

1.5

1

1.5

A

1.5

1.5

1.7

7.5

1.5

4

3

1.5

6

3.5

2

2.5

1.5

1.5

1.5

3

1.5

2.5

1.5

5

1.5

4

2.5

2

2.5

3.5

2.5

X

1

1

1.5

1.5

2

1

1.5

1.5

1.5

1.5

2

2.5

2.5

1.5

2

1.5

1.5

2.3

2

2

2

1.5

1

1.5

2

2.5

2

1.5

1.5

1.5

1.5

1.5

2

1.5

2.5

2

2.5

2.5

1.5

2

2.5

1.5

X

1.5

2.5

1.5

1.5

2

2

1.5

1.5

1.5

2

1.5

1.5

1.5

1.5

1.5

1.5

1.5

1.8

2.5

3

2.5

3.5

1.5

2

X

2.5

2.5

2.5

2

2

1.5

2.5

2.5

2

3.5

2.5

2

3.5

2.5

2.5

2.5

X

X

2

2.5

2

1.5

1.5

2

2

2

2

2

1.5

2

1.5

1.5

2

1.5

1.5

2.2

3

3.5

3

3

2

3

2.5

2.5

2

2.5

2

2

2

3

3

2

3

2.5

2.5

4.5

2

3

2

1.5

X

2.5

2.5

1.5

2

2

2

2

2

2

2

1.5

2

2

1.5

2.5

2

2

2.3

Total average = 2

a 0.95 0.69 1.35 0.28 0.55 0.60

24
r for the probability distribution components of gust velocity and for gust

velocity differences vary little.

2.5 Single-point Auto-correlation Coefficient of Gust Velocities

The single-point auto-correlation function for the turbulence wind velocity is defined as

lint

->— > 0TM

0

1 f

r1 JQ

where x(t) is time history of turbulence wind velocity with zero mean value,

and T is the lag time. This correlation when normalized by the variance is

called the correlation coefficient and is defined as:

where crx is the standard deviation. The single-point auto-correlation coefficient, BX(T), has an absolute value equal to or less than unity. An alternate

method for calculating the auto-correlation is to use a Fast Fourier Transform (FFT) as described later.

The single-point auto-correlation coefficients of the severe turbulence

wind velocities at three different positions, right wing tip, left wing tip,

and nose, are presented on the 5th page of each data set for a given run

in Appendix A. Correlation coefficients for all three wind components, the

longitudinal, lateral and vertical, are given. The symbols WX,WY, and Wz

indicate the longitudinal, lateral, and vertical components relative to the

aircraft frame of reference, respectively. Subscripts R, L, and C refer to

25
the positions of right wing tip, left wing tip, and center, respectively. For

example, WXR presents the longitudinal component at the right wing tip.

All auto-correlation coefficients are plotted with the spatial lag distance as

the independent variable. Calculated auto-correlation coefficients decrease

from unity to zero and fluctuate about the zero axis as the spatial lag distance becomes large. The area obtained by integrating the single-point

auto-correlation coefficient from zero lag to the point where the correlation

coefficient first becomes zero is multiplied by the mean airspeed to estimate

the integral length scale. Since the mean airspeed remains nearly constant

throughout the flight, the plots of the auto-correlation coefficients indicate

the relative size of the integral length scales. There are no significant differences between the correlation from the three different recording stations for

a given wind velocity component, but there is a difference for the different

components.

The single-point auto-correlation coefficient of the vertical component

decays faster than the lateral and longitudinal components. A slower decay

of the auto-correlation coefficient is related to the low frequency of the

wind velocity. For example, in Run 17, there is lower frequency content in

the lateral component than in the longitudinal component as is seen in the

figure of the wind velocity time histories. As expected, the decay of the

single-point auto-correlation coefficient is slower for the lateral component

than the longitudinal component. The results indicate bad data for the

lateral component in Runs 10 and 27, and for all three components in Run

28.

The theoretical model for the single-point auto-correlation coefficient,

B(a), developed by von K arm an for three velocity components is expressed:

26
where a = 1.33, K" is a modified Bessel function of the second kind, L is

the turbulence length scale, and s is the spatial lag distance. Comparisons

of the theoretical models with the experimental data are shown in Figures

5 through 8. For the longitudinal velocity component, the auto-correlation

coefficient of the measured data is higher in value than that predicted by

the theoretical von K arm an model. For the lateral velocity component, the

auto-correlation coefficient agrees with the von Karman model; but for the

vertical velocity component, the auto-correlation coefficient is lower than

the value predicted by the von Karman model.

2.6 Two-point Auto-correlation Coefficient of Gust Velocities

The two-point auto-correlation of turbulence is a correlation between

the same velocity components at two different positions separated by a

distance s. The two-point auto-correlation function, Rx(s, T), is defined as:

oo

1 /" , +

r x(t,

2 J0

where a is the separation distance, T is the lagtime, and x designates any

one of the velocity components Wx, Wy, or Wz- The symbol £ indicates

position. The two-point auto-correlation is normalized with the product

27
c

V

'o

O

CJ

d

o

OJ

u

o^->

<

1.0

0.0

-1.0

1.0

0.0

-1.0

0.0

von Karman

B-57B

Wv

von Karman

B-57B

von Karman

B-57B

W,

0.2 0.4 S/L 0.6 1.0

Figure 5. Comparison of single-point auto-correlation of

gust velocities with theoretical model? composite

of Runs 2 through 13.

28
c

<D

'•-*

o

a

o

IH

O

O

I

o.4.)

3

1.0

0.0

-1.0

1.0

0.0

-1.0

_L

von Karman

B-57B

Wv

von Kantian

B-57B

von Karman

B-57B

W,

0.0 0.2 0.4 s/L 0.6 0.6 1.0

Figure 6. Comparison of single-point auto-correlation of

gust velocities with theoretical model; composite

of Runs 14 through 23.

29
c

.^

o

C

o•t~*

-t->

JS

0.)

u

o

O

1.0

0.0

-1.0

i.O

0.0

von Karman

B-57B

von Karman

B-57B

-1.0

von Karman

B-57B

W,

0.0 0.2 0.4 s/L

0.6 0.8 1. (I

Figure 7. Comparison of single-point auto-correlation of

gust velocities with theoretical model; Composite

of Runs 24 through 33.

30
c

V

'o

V

o

o.tj

1.0

0.0

-1.0

von Karman

B-57B

Wv

von Karman

B-57B

1.0

0.0

-1.0

von Kantian

B-57B

0.0 0.2

s/L

0.6 0.8 1.0

Figure 8. Comparison of single-point auto-correlation of

gust velocities with theoretical model; Composite

of Runs 34 through 46.

31
of the standard deviations for positions £ and £ + a, respectively. The

two-point auto-correlation coefficient is defined as:

B (8 T\ =

 R*(8

'

T

)

where <rz and ax> are the standard deviations of x(£,t) x(£ + s,t), respectively. The absolute value of BX(S,T) is less than one. The Fast Fourier

Transform technique is also an alternative method to calculate the twopoint auto-correlation.

The two-point auto-correlation coefficients are plotted on the 6th page

of the data set for each run in Appendix A. All three components, Wx, WY,

and Wz are correlated between all three measuring stations. The right wing

tip and the center is designated by RC, the center and left wing tip by CL,

and the right wing tip and left wing tip by RL. For example, the subscript

WXRC represents a correlation between the longitudinal components at the

right wing tip and the center position.

Since the time histories of the same component at the three different

positions do not differ much, the two-point auto-correlation coefficients are

similar to the single-point auto-correlation coefficients. This is a direct

consequence of the fact that the characteristic length scale of the turbulence

is very large compared to the length of the aircraft wing span. As expected,

at zero spatial lag, the two-point auto-correlation is not unity. In general,

the two-point auto-correlations decay faster for the vertical component than

for the longitudinal or the lateral component.

The correlations are also related to the wind direction along the flight

path, which is shown on the first page for each run in of Appendix A. To

understand this effect, first consider the longitudinal wind velocity compo32
nent. When the longitudinal wind velocity component changes gradually

from a head wind to a tail wind (or vice versa), the correlations decay

slowly. Examples that illustrate this are Runs 3, 13, 16, 23, 25, 26, 29,

30, 42, and 43. If the longitudinal wind component changes very quickly

from a head wind to a tail wind and back to a head wind repeatedly, the

correlations decay faster than in the previous case. Examples are Runs 17

and 40. In other cases, the longitudinal wind component does not change

polarity (i.e., remains either a head wind or a tail wind for the duration

of the flight), and the magnitude changes smoothly. The correlations then

decay very slowly as illustrated by Runs 31, 32, 33, 34, 38, 39 and 41.

Now consider the lateral wind velocity component. When the wind

changes direction gradually from the left side to the right side (or vice

versa), the correlations decay rapidly as shown by Runs 11, 33, 44, and 46.

hi other cases, the wind does not change direction, but the magnitude of

the wind velocity changes smoothly. The correlations then decay slowly as

in Runs 13, 25, 31, 32, 36, 37, 42 and 43.

The effect of bad data is again observed in runs Runs 10, 27 (lateral component only) and Run 28 (all three components) and should be

discarded.

2.7 Normalized Auto-spectra of Gust Velocities

The single-point auto-spectrum density function of turbulence is a

measure of the frequency distribution of the wind kinetic energy. The

auto-spectrum is defined as the Fourier transform of the single-point autocorrelation in the following way:

•

(/)

-£

33
where / is frequency, r is lag time, and j is %/— I and x is any of the

three wind velocity components Wx, Wy> and Wz- In this equation, the

frequency / ranges from negative to positive infinity. This spectrum is twosided; but because of the symmetry of the single-point auto-correlation, the

spectrum is also symmetric:

The negative frequency does not have a physical meaning and, hence,

the one-sided spectrum density function is introduced:

*,(/) = 2Sx(f)

= 2 °° Rx(T)e~3'

2irfTdT

— 00

The frequency ranges from zero to infinity. Since the single-point autocorrelation function is an even function of T, and there is no phase angle,

the auto-spectrum is given by the real part of the Fourier transform only:

*,(/)= 4 / Rx(T)eoaZirfrdr

Jo

Similarily, the single-point auto-correlation is the Fourier inverse transform of the single-point auto-spectrum.

Rx (r)= ' r*

Jo

when T equals zero, this becomes the square of the standard deviation:

= r°

./o

34
An integration of the auto-spectrum between two frequency limits, /i and

/2, represents the wind kinetic energy in the frequency range fi to fa.

Another way to calculate the auto-spectrum density function is by

applying a direct Fourier transform to the turbulence wind velocity data.

This method is much more convenient and saves computer time; therefore,

it is used to compute all auto-spectra given in this report.

The theoretical von Karman model for the auto-spectrum density function, $, for all three velocity components is expressed as follows:

a is the standard deviation; L is the integral length scale; K is the wave

number, w/V; u> is spatial frequency and V is mean airspeed. On a logarithmic plot, an increase in the standard deviation will increase the area

under the curve. The length scale also affects the shape of the spectrum

primarily in the location of the "knee" of the curve.

In computing the auto-spectrum density function of turbulence, the

data record is normally divided into segments each of 512 datum points.

However, in some runs, because longer time records were available, the

segments consist of 1024 datum points. The number of datum points in

each segment determines the lowest frequency of turbulence wind energy in

35
the computed spectrum. On the other hand, the accuracy of the spectrum

increases with the number of segments used. The highest frequency of the

auto-spectrum is the cutoff frequency, or Nyquist frequency, fe, and is given

by one half of the sampling rate. The B-57B airplane instrumentation has a

sampling rate of 40 Hz; therefore, the cutoff frequency is 20 Hz. The lowest

frequency is 0.078 Hz for 512 datum points and 0.039 Hz for 1024 datum

points. The auto-spectrum is normalized by the square of the standard

deviation. The normalized auto-spectrum is plotted versus wave number

K on the 7th page for each run in Appendix A. The figures on this page

present spectra for each run at all three recording positions and for all three

wind components. In order to eliminate the uncertainty occuring at high

frequency (which is discussed later), the auto-spectra are plotted only to a

frequency of 5 Hz.

hi Figure 9, the normalized auto-spectra of gust velocities are plotted

for Run 5 of Flight 6. An abnormal spike occurs in the left wing tip spectrum of the longitudinal component at a frequency of about 10 Hz. Wind

components are calculated from several parameters measured by various

instruments on the B-57B airplane. To determine the source of this spike

in the spectra, each of the parameters used to calculate Wx were carefully

analyzed. The longitudinal wind component is calculated in the following

way:

Wx(t) = VB(

V(t) = (65.76881)(0.3048)MV

/

T^

/ /„ \2/7 \ 1/2

-)

36
ORIGINAL PAGE IS

OF POOR QUALITY

101

10-

101

¥ 10->

io-3

101

SEG.= 8

SEG.= 8

N=1024

+ SEG.= 8

SEG.= 8

N=1024

SEG.= 8

SEG.= 8

I , Illlllll || il r i ,i.mil in I .,,11111! i ii.i.iil i . inii.l i i .,ml i I iinij j I I n.ill

IO"1 io1 icr1 io1 io-1 io1

f (Hz)

Figure 9. Normalized auto-spectra of gust velocities showing

spike in the longitudinal spectra, Flight 6, Run 5.

37
\

2

/

7

 I*

W. , i \ 9

k p ) ~ 1 + (L2M2

where the symbols are defined in the list of nomenclature. In these equa-

/v

tions, only the term V(t) differs noticeably at the three different probes.

The parameters used to compute V(t) are qc,p, and Tc. Thus, these parameters need to be investigated further. Figure 10 shows the spectra for

these parameters. There is an obvious problem with the measurement of

impact pressure at the left wing tip boom, and a slight problem with the

measurement of free stream-static pressure. The spectrum for the free

stream-static pressure approaches a constant at roughly 5 Hz indicating a

high noise level. Velocities computed from measurements at all the probes

use the same free-stream static pressure measurement.

Several spectra for qcL ^d for Pf showed these same characteristics

while others behaved perfectly normally. It is believed that water droplets

in the pitot tube inlet were responsible for these data abnormalities. Since

this error always occurs at frequencies higher than 5 Hz, the spectra presented in the report are truncated at 5 Hz.

Additional biasing in the energy spectrum is identified by a rise in

the high-frequency region. Houbolt suggests this is due to the "top hat"

digitizing of turbulence data and proposes a correction factor to account

for this effect:

Here w is spatial frequency and At is the time increment. This correction

38
>. I....... . I-..... . I...,

I—,,_f_ i *•••••' * ' -.>•••" • • '-•" f i-

 (

-m

r*> o- v/» u> r*.

'o *o 'o 'o o

r>i

o

CM

QJ

Q.

O

0

-a

0)

0)

.a

O

ai

a.

<D

3

O)

39
factor has almost no influence on the signal in the low-frequency region,

but it decreases the spectrum value in the high-frequency region. In Figure

11, the effect of this correlation factor is illustrated. Symbol 1 represents

the spectrum without, arid Symbol 2 represents the spectrum with, the

correction factor. The difference between Symbols 1 and 2 is obviously

greatest in the high-frequency region.

To analyze the influence of the Houbolt correction factor, a decaying

exponential time series given by:

is investigated. The decay rate is defined by the constant, a. From this

equation, the single-point auto-correlation is calculated using the Fast Fourier

computer algorithm. In turn, by taking a Fourier Transform of the autocorrelation, the exact spectrum is obtained. The exact result is:

"2o — 2(o cos irfT — 2irf sin

T is total record time. To check the correction factor, the analytical curve

is digitized with the following described parameters: o = 0.1, At = 0.1

second, N = 512, A/ = 0.0391?*, and T = 51.2 seconds. These results

are shown in Figure 12. The solid line represents the exact spectrum, and

the symbols represent the digitized signal without the correction factor and

with the correction factor, respectively. The theoretical line coincides with

40
10* r-

$ 10°

10-z

N = 512

SEG. = 10

1 - without correction factor

2 - with correction factor

io- 10°

K = cj/V (m"1)

Figure 11. Normalized auto-spectra of gust velocities

showing influence of the Houbolt correction

factor, Flight 6, Run 42.

41
o

•!->OCOoo>L. s_oo3o

(VI

II

"I O n~ t

-M <T3

O -M

cn-i-

C i)

0)

4-> (C

Q- CD

O II

O<o o

•!->

i— (/)

(T3 -r-

O -C

s-oCou<us_oooJD3O

^r^

i

s-

NI

OJ "I

CDo

S_ -r- •

O -l-> C

Q) O

•*-> QJ 4-

1

N U

H- ••- 01

O r- S-

(O S_

c cu o

o -o u

i- C 3 ro n3 o Q. JC E S- 4J O O ••- Ol Scr. ul

U)« BOt

42
the exact spectrum, when the correction factor is applied. Although the

correction has not been used in the analysis, it is recommended for use in

subsequent analyses.

As mentioned previously, smoothing is accomplished in all spectra plots

by ensemble averaging. The smoothing procedure is carried out in the

following way.

The original time record, Tr> is divided into q separate segments, where

each time segment is of length T'. The smooth spectrum is given by:

where $'k is the spectrum at frequency fa of the qth time slice. The bandwidth Be with this approach becomes l/Tr

'. Thus, the degree of freedom

is:

n = WeTr = 2<?

The normalized standard error, Er, is then given by

Therefore, the larger the value of q becomes, the smaller the normalized

standard error. In this study, the parameters used are At equals 0.025

second; /«. is 20 Hz. The total sampling time, Tr, for each run ranges in

length from 38.4 seconds to 128 seconds; the total number of datum points,

43
W, varies from 1536 to 5120. The number of segments, q, varies from 8

to 10 depending upon the length of each run. The time segments, T/, are

either 12.8 seconds (512 datum points) or 25.6 seconds (1024 data points).

The bandwidth, Be, is either 0.039 Hz or 0.078 Hz. Calculations of rms

error range from 32 percent in Run 33 to 58 percent in Run 8.

In Figure 13, the von K arm an spectrum model is compared with the

normalized auto-spectra of all three gust velocity components from Run

2 through Run 24, measured at the center probe. The experimental data

fit the von Karman spectrum reasonably well considering the data are, in

fact, nonstationary in the statistical sense. However, there is substantial

scatter in the data. Longer data records would reduce the scatter, i.e., more

effective ensemble averaging. Figures 13 and 14 illustrate this phenomena.

Figure 14 is a similar comparison of the von Karman model with measured

data, but it is taken from Runs 25 to 46. The average number of segments

used in the ensemble average in Figure 13 is 4.7; but in Figure 14, it is

5.9. Thus, the measured data given in Figure 14 are slightly smoother

than those in Figure 13. Due to the length of the records, no results below

0.039 Hz can be calculated. Note also other techniques of selecting L would

provide a better fit to the von Karman model (see Houbolt, et al. 1964).

Comparison of von Karman's theoretical auto-spectrum model with

experimental data measured by the B-57B airplane is shown on Page 7

of the Appendix for each run. The symbols Wx, Wy, and Wz represent

the longitudinal, lateral and vertical components, N is the number of data

points, and SEG. represents the number of segments used in each run.

Generally, the experimental auto-spectra compares reasonably well

with the von Karman spectrum model. A few cases, however, where the

44
ORIGINAL PAGE 7S

OF POOR QUALITY

QJ

O

O

Ol

4-> CM

l/l

13 _c:

en co

4- o 0 i-

.c

(0 +->

i.

-t-> C\J

o

O) tO

Q. C

(^ 3

1 CtL

O

(O O)

-o

4- O

O E

O (O

(O ^

Q.

E c

o o

01

45
PAGE Is

QUALJTY

12

-3

-3

3 O

o

O

CO

O)

U

O

> VO

01 _C

§,§•

i. LD

+-> 00

o

Ol 10

CL C

01 3

O)

c

o

co

Q.

a§ C-J >

01

cn

t

o

I

o

46
experimental auto-spectrum does not fit the theoretical model, may be

explained as follows. First, consider the case where the value of the experimental auto-spectrum is larger than the value of the von Karman spectrum

model at a given wave number. Such examples are the longitudinal component in Run 41; the lateral component in Runs 24, 33, 41, 42, and 43;

the vertical component in Runs 11, 16, 24, 33, 34, 43, and 44. The von

Karman spectrum model is a function of the integral length scale. In this

case, the large integral length scale resulted in a poor fit for the experimental auto-spectrum with the von Karman model. The explanation for the

large integral length scale can be found by examining the plot of the singlepoint auto-correlation coefficient. The auto-correlation normally reaches

zero and then oscillates in a sinusoidal manner about zero. But, in the

cases under discusssion, the auto-correlation does not reach zero before the

sinusoidal behavior begins. Thus, only at a large spatial lag does the autocorrelation become zero, which, as noted earlier, is taken as the cut-off of

the integration in the length scale calculations.

A second case to consider is the situation where the value of the experimental auto-spectrum is less than the value of the von Karman spectrum.

Examples are the longitudinal component in Runs 3, 13, and 16; and the

lateral component in Runs 23, 25, 31, and 37. In these cases, the integral

length scale which is used in the von Karman model is too small to provide

a reliable fit with the experimental spectrum. Li turn, the auto-correlation

coefficient decays linearly and too quickly. The reason for this rapid decay is

that the corresponding time histories display the following behavior. Dividing the time history into two parts, one half is above zero, and the other is

consistently less than zero. These records apparently contain considerable

47
patchiness or nonstationarity.

Because the proper length scale is difficult to determine, calculations

of auto-spectrum without directly computing the length scale was investigated. Consider the equation for the von Karman spectrum model. The

length scale is one of the parameters, but the length scale can be combined with other parameters to form a new variable. This new variable can

be determined by applying a curve fitting technique to the experimental

data. For example, the von Karman model for the longitudinal component

is expressed:

* [1 + (1.339L*)2]5/

6

assuming that LK ^> 1.

TT (1.339L/c)5/3

(1.339K)6/3

By rearranging this equation, it becomes:

At a certain wave number, say KJ, there is a corresponding value of

the experimental spectrum $(KI) illustrated in Figure 15. The parameter

48
(<r2

/L2/

3

) can then be evaluated at several wave numbers and an average

estimated.

The spectrum equation of the von Karman model can be written:

2^

TT0" \ (1.339^)2

Now the value of (<r2/L2/

3

) is substituted into this equation and the

von Karman spectrum is evaluated without use of the integral length scale.

Figure 16 shows a comparison of experimental data with the von Karman spectrum equation using the integral length scale and that determined

by the curve fit method for Run 42. The curve fit always passes through

the data to which it has been fitted. The von Karman spectrum, based

on the directly integrated integral length scale model, correlates most data

well but is not as reliable as the (Zr2/

3

/<72) parameter model.

2.8 Normalized Two-point Auto-spectra of Gust Velocities

The two-point auto-spectrum density function is defined as the Fourier

transform of the two-point auto-correlation function between the same velocity component at two different positions. It is expressed as:

= 1^

J — oo

where subscripts x and x' denote the velocity components for the same

direction (i.e., longitudinal, lateral or vertical)but separated by the spatial

separation distances. The frequency / is a parameter that can vary between

49
N = 512

SE6. = 10

i

•i.,

T n £ 10U

•e

ID'2

' »<Vef> ,'

-

1C'2

'.V

^'HV'-1

>Ty

i

. ...,...! , . J

ef 10~2

V (m'1)

Figure 15. Illustration of selection of reference

 $(K

ref) f°r

normalized auto-spectra of W D velocity, Flight 6,

Run 42.

 XK

50
M

b

10Z

10°

10

-i

10a

10°

io-'

10s

10°

von Karman

curve fit

N= 512

SEG.=10

von Karman

curve fit

N= 512

SEC.=10

,,,J 1 . ,,.„„!

von Karman

curve fit

N= 512

5EG.=1

von Karman

curve fit

N- 512

SEC.=10

WXC

von Karman

curve fit

N= 512

SEG.l O

jj_ uL

von Karman

curve fit

N= 512

SEG.flO

von Karman

curve fit

N- 512

SEG.=10

Wy,

ml , , ,,,.J

von Karman

curve fit

N= 512

SEC.-10

WYR

von Karman

curve fit

N= 512

SEG.plO

WZR

10

-8

10° 10'8

/c = cj/V

10- 10°

Figure 16. Normalized auto-spectra of gust velocities,

Flight 6, Run 42.

51
minus and plus infinity. The two-point correlation -Rz,x'(a,r) is integrated

over time, r, from negative to positive infinity. Because J2x,Z'(a,r) is not

an even function, the spectrum density function SXtXi(s,f) is generally a

complex number and is called a two-sided spectrum. The one-sided twopoint atito-spectrum density function $x,x'(s, f) is similar, but it is defined

only for all positive frequencies as:

= 2

J —

where the real part, CXjX>(s, f) is called the coincident spectral density function, and the imaginary part, Qx>x'(8,f), is called the quadrature spectral

density function. It is convenient in practice to represent the two-point

auto-spectrum in terms of a magnitude and a phase angle in the following

way:

where

I *,„•(», /) 1= yc2,..(«,/) + <£,,.(«,/),

and

52
Another method to compute the two-point auto-spectrum is to perform

a direct Fourier transform on the two turbulence wind velocity time histories. This method is used because it is convenient and fast. The quadrature

spectrum,Qx,x',

 ls

 always smaller than the coincident spectrum, CXfXi, for

frequencies less than about 0.4 Hz. However, for higher frequencies, these

two spectra are of the same order. Figure 17 shows this phenomena for

Flight 6, Run 42. Plotted are the three velocity components correlated

between the right wing tip and the center position. The coincident spectra

have the highest value at a frequency equal to 0.078 Hz, and then decrease

to near zero at a frequency equal to 1 Hz. The quadrative spectra have

values near zero for all frequencies. The results are similar for other runs,

except that the coincident spectra decay faster in some of the runs. The

magnitude of the two-point auto-spectrum is normalized by dividing it with

the product of the standard deviations for the individual velocity time histories at each location in space.

On the 8th page for each run in Appendix A, the normalized twopoint auto-spectra are plotted versus wave number, K:. The figures include

three different separation positions and three velocity components. The

subscriptions CZ/, RC, and RL represent the separation positions between

the center and the left wing tip, between right wing tip and the center, and

between the right and left wing tips, respectively. For example, WXCL represents the longitudinal velocity component correlated between the center

and the left wing tip. N is the number of datum points in each segment

of the time history used for calculating the spectrum by the fast Fourier

transform technique. Frequencies higher than 5 Hz were not plotted because of the uncertainty in the data at high frequencies, as described earlier.

53
90.

50.

.

-10.

to

o

Ol

Q.

10

4J

C

0)

-U

(J

C

O

o

90.

50.

0.

_in

WYRC

N = 512

SEG. = 10

: \__

i i i i i

WXRC

N = 512 S

SEG. =10 oo>

Q.

CO

QJ

S3

4-^

ro

L-

•o

_ \ 3

^•^"•-•••« °^

1 1 1 1 1

W

ZRC

N = 512

SEG. = 10

—

: Vs

i i i i i

-

 WYRC

N = 512

SEG. = 10

-

i i i i i

WXRC

N = 512

SEG. = 10

"*

_

1 1 1 1 1

W

ZRC

N = 512

SEG. = 10

i i i i i

10

-2 10' 10

-2 10'

f (Hz) f (Hz)

Figure 17. Coincident spectra and quadrature spectra of

gust velocities, Flight 6, Run 42.

54
The magnitude of the two-point auto-spectra decays almost linearly in the

high-frequency region on a logarithmic plot.

The results of the two-point auto-correlation calculations are close to

the results of the single-point auto-correlahion calculations for the same

velocity component. The theoretical model of the two-point auto-spectrum

developed by Houbolt and Sen (1972) shows that this spectrum is a function

of the ratio of separation distance to length scale (fl/L). Not surprisingly,

when s/L approaches zero, the properties of the two-point auto-spectrum

approach the properties of the single-point auto-spectrum. In Flight 6, the

values of s/L range from 0.0051 to 0.13 for the longitudinal, from 0.0025

to 0.156 for the lateral, and from 0.0058 to 0.189 for the vertical velocity

component. Again, abnormal results in Runs 10, 27, and 28 are attributed

to bad data.

Houbolt and Sen developed a theoretical model for the two-point autospectra function. They considered the gust field to be homogeneous and

isotropic. In their derivation, the velocity fluctuation, Wx- was taken as

the value perpendicular to the line of separation. This, however, is not

correct since Wx is generally defined in the direction of the aircraft body

axis. Figure 18 illustrates the various parameters referred to in the text.

To correct Houbolt and Sen's two-point auto-spectral function, a Fourier

traasform of the correlation:

a ^

is required where RWNWN($) and PWPWP($] are the conventional longitu55
coOontooQ

.

IOOJ en c o o> "o Q

.

c o S- > Ol O)

I— T3

CO

(1)

56
dinal and lateral turbulence correlations (Frost and Moulden, 1977). By

performing a Fourier transform on the two correlation functions, RWNWN

and RwpWp, a corrected equation for the spectrum can be found. This

equation is complicated, but has a closed form integral solution reported

by Campbell and Foster, 1954. The solution of $wxwx

 ls:

(

r \ 2(

-J |o.054

°-097

where

L is the length scale, V is the mean airspeed, and K is a modified Bessel

function of the second kind.

Houbolt and Sen's original equation was given by:

The new equation, and Houbolt and Sen's original version, are compared to

experimental data in Figure 19. The new equation is plotted as a solid line

and Houbolt and Sen's equation is represented by a dashed line. The flight

data is the computed two-point auto-spectra of the longitudinal velocity

component between the right wing tip and the center position for Flight

57
o

10'

10

-2

New Equation

Houbolt and Sen

Equation

10

-4

10

-3

Figure 19.

10

(nf1)

101

Comparison of the two-point auto-spectrum with

Houbolt and Sen's normal equation and the

rederived equation, Flight 6, Run 42.

58
6, Run 42. The new equation gives slightly better agreement with the

experimental data than Houbolt and Sen's original equation.

2.9 Two-point Cross-spectra of Gust Velocities

The cross-spectrum density function of two different velocity components is found by taking a Fourier transform of the cross-correlation function. The two different velocity components can be taken at the same

location or at two different locations. The equation for the two-point crossspectrum is similar to that for the two-point auto-spectrum except that

different velocity components are used.

The magnitude of the cross-spectra of turbulence velocities versus wave

number, K, are plotted on the 9th page for each run in Appendix A. This figure includes all possible combinations of the three velocity components between the three positions. The symbols LL, LC, LR, CL, CC, CR, RL, RC,

and RR represent the positions at which the two velocity components were

measured. Frequencies higher than 5 Hz are still cut off because of the

uncertainty in high-frequency measurements.

Since the time histories of the same velocity component at the three

positions are similar, the cross-spectra have similar shapes for the same

two velocity components at various locations. For example, the Wx Wz

components have the cross-spectra plots that look alike for all nine location

combinations: LL,LC,LR,CL,CC,CR,RL,RG, and RR. For Wx Wz,

Wx Wy, and Wy Wz, the cross-spectra show different energy distributions

for low wave numbers (« less than 0.03), see Run 18. For higher wave number between 0.03 and 0.3, the cross-spectra have nearly the same shape for

a given run. In theory, the cross-spectrum between the longitudinal and

59
vertical velocity components in the atmospheric boundary is larger than

the cross-spectrum between the lateral and vertical velocity components,

and between the longitudinal and lateral velocity components. For Flight 6,

the cross-spectrum between the lateral and vertical velocity components is

about the same order of magnitude as the cross-spectrum between the longitudinal and vertical velocity component. This suggests at the altitude of

Flight 6 measurements, the turbulence is approaching isotropic conditions.

The relation between the coincident spectrum and quadrature spectrum in a two-point auto-spectrum is much different from a single-point

cross-spectrum. The quadrature spectrum of a single-point cross-spectrum

does not need to be less than the coincident spectrum in the low-frequency

region. Figure 20 shows the coincident and quadrature parts of the crossspectrum for Run 39 measured at the center probe. The quadrature spectrum of Wx Wz is larger than the coincident spectrum in the low-frequency

region in Run 39. The same phenomenon occurs to Wy Wz and Wx Wy

spectra. However, for the other runs, it is difficult to say which spectrum

is larger.

2.10 List of All Parameters Measured and Their Range of Values

On the 10th page for each run in Appendix A, a table is presented for

each run which lists all parameters recorded during a flight: the units, the

maximum and minimum values, the mean value, the root mean square value

and the total number of data points for each parameter. These parameters

are stored on magnetic tapes in the following order:

1. Mountain Daylight time in seconds for each record (t);

2. Roll rate measured by body-mounted roll-rate transducer (positive

60
90.

50.

0.

-10.

(O

O

Ol

Q.

</)

4J

c

0)

T3

•nO

C"

•^

O

O

90.

50.

nu •

i r>

w

x

 wz

N = 512

SEG. = 6

-

/v, „„.„„.

1 1 1 1 1

WX WY

N = 512 £

SEG. =6 £

cu

d.

i/l

CU

~^

_ 4^

(O

s~

T3

ra

— 3

1 1 1 1 1

WY wz

N = 512

SEG. = 6

-

-

i i i i i

My wz

N = 512

SEG. = 6

-

; \

i i i i i

W XW Y

N = 512

SEG. = 6

_

__

"""

\

i i i i i

- Ww Wx

 wz

N = 512

SEG. = 6

i "I"*' i i i

10 10' 10" 10'

f (Hz) f (Hz)

Figure 20. Coincident spectra and quadrature spectra of

gust velocities, Flight 6, Run 39.

61
with right wing going down), rad/s

3. Normal acceleration at e.g. (positive up) g units (an);

4. Pitch rate measured by body-mounted pitch-rate transducer (positive

with nose going up), rad/s (0);

5. Pitch attitude measured in the vertical plane (positive with nose up),

rad

6. Roll attitude of airplane with reference to horizontal (positive with

right wing down), rad

7. Airplane heading measured in a horizontal plane clockwise from true

north (always positive), 0 to 360° range, (V*i);

8. Sensitive airplane heading obtained from V'l with arbitrary zero at the

instant the data switch is turned on (positive with nose right) ±15°

range

9. Airplane heading measured in a horizontal plane clockwise from true

north (always positive) 240° to 600° range (^2);

10. Sensitive airplane heading obtained from ^2> with arbitrary zero at the

instant the data switch is turned on (positive with nose right) ±15°

range

11. Normal acceleration at the left wing tip (positive up), g units (anL);

12. Normal acceleration at the right wing tip (positive up), g units (anR)',

13. Longitudinal acceleration at the c.g (positive forward), g units (ax};

14. Lateral acceleration at the c.g (positive toward right wing), g units

K);

15. Angle of attack measured at the airplane nose boom (positive with

flow vane trailing edge up), rad (ac);

16. Angle of sideslip measured at the airplane nose boom (positive with

flow vane trailing edge toward right), rad (/0C);

62
17. Temperature of the INS pallet, °F(Ti);

18. Temperature of the instrument pallet, °F(TP);

19. Vertical acceleration of the INS stable element (positive up), g units

(a,);

20. Angle of attack measured at the right wing tip boom (positive with,

flow vane trailing edge up), rad (an);

21. Angle of sideslip measured at right wing tip boom (positive with f^ow

vane trailing edge toward right), rad (/?R);

22. Angle of attack measured at the left wing tip boom (positive with flow

vane trailing edge up), rad («£,);

23. Angle of sideslip measured at the left wing tip boom (positive with

flow vane trailing edge toward right), rad (,#L);

24. Yaw rate measured by a body-mounted yaw-rate transducer (positive

with nose going right), rad/s (if));

25. Total temperature, °C (T0);

26. Impact pressure measured at the left wing tip boom, Pa (qCL)',

27. Impact pressure measured at the airplane nose boom, Pa (gcc);

28. Impact pressure measured at the right wing tip boom, Pa (qCR)',

29. Free-stream static pressure measured at the airplane nose boom, KPa

(p);

30. Temperature of IRT, °C T/#T;

31. Distance to go from the present position of the aircraft to the next

waypoint set on the INS (always positive), m(At);

32. Bearing to destination, i.e., bearing from the aircraft's present positjop

to the next waypoint set on the INS, measured in a horizontal plane,

clockwise from true north (always positive), deg (75);

63
33. Longitude of aircraft as measured by INS, deg (LONG);

34. Latitude of aircraft as measured by INS, deg (LAT);

35. Track angle of airplane measured in a horizontal plane clockwise from

true north (always positive), deg (IT)',

36. Airplane heading, measured in a horizontal plane clockwise from time

north, rad

37. East-west component of the airplane inertial velocity as measured by

INS (positive toward east), m/s (VE);

38. North-south component of the airplane inertial velocity as measured

by the INS (positive toward north), m/s (V}y);

39. Pressure-derived altitude based on standard atmosphere tables, Km

(M;

40. Computed free-stream temperature, °C (Tc)',

41. Computed east-west wind component (positive toward east), knots

(WE);

42. Computed north-south wind component (positive toward north), knots

43. Computed magnitude of wind vector, knots (W);

44. Computed direction of wind vector, deg (iw);

45. True airspeed computed from impact pressure measurement at right

wing tip boom, m/s (VR);

46. True airspeed computed from impact pressure measurement at the

airplane nose boom, m/s (Vc);

47. True airspeed computed from the impact pressure measurement at left

wing tip boom, m/s (VL);

64
48. Incremental pressure-derived altitude with reference to value at beginning of run (positive when altitude increases), m (A/ip);

49. Computed unconnected inertial displacement, m (Ahz);

50. Computed longitudinal component of gust velocity at right wing tip

boom (positive in direction of flight path), m/s

51. Computed longitudinal component of gust velocity at airplane centerline nose boom (positive in direction of flight path), m/s (Wxc}\

52. Computed longitudinal component of gust velocity at left wing tip

boom (positive in direction of flight path), m/s (WXL]\

53. Computed lateral component of gust velocity at right wing tip (positive

toward right), m/s (WYR)',

54. Computed lateral component of g;ust velocity at airplane centerline

nose boom (positive toward right), m/s

55. Computed lateral component of gust velocity at left wing tip boom

(positive toward right), m/s (WyL}',

56. Computed vertical component of gust velocity at right wing tip boom

(positive up), m/s (WzR)',

57. Computed vertical component of gust velocity at airplane centerline

nose boom (positive up), m/s

58. Computed vertical component of gust velocity at left wing tip boom

(positive up), m/s

65
3.0 CONCLUSION

The statistical analysis of the turbulence measured in Flight 6 of the

NASA B-57B over Denver, Colorado, from July 7 to July 23, 1982, includes

the calculations of average turbulence parameters, integral length scales,

probability density functions, single-point auto-correlation coefficients, twopoint auto-correlation coefficients, normalized auto-spectra, normalized twopoint auto-spectra, and two-point cross-spectra for the gust velocities. The

probability density function of the turbulence is best represented by Reeves'

non-Gaussian model which is a function of the parameter r. When the value

of r is zero, the probability is, in effect, a Gaussian probability. When r approaches infinity, the probability will approach a modified Bessel function

of the second kind and of the first order. Additional analysis is required to

determine how r is related to the severity of the turbulence.

Comparison of the single-point auto-correlation coefficients with the

theoretical model developed by von Karman shows that the auto-correlation '<*

coefficients of the longitudinal velocity component are higher in value than

that predicted by the model. For the lateral velocity component, the autocorrelation coefficients agree with the von Karman model, but for the vertical velocity component, the auto-correlation coefficients are lower than

the model. Since the time histories of the same gust component at three

different positions of the NASA B-57B do not differ much, the two-point

auto-correlation coefficients are similar to the single-point auto-correlation

coefficient. The results appear to be very accurate up to 5 Hz; but at frequencies higher than 5 Hz, errors will occur because of noise in the signal

and biasing due to possible water in the pressure sensors. Generally, the

66
von Karman single-point auto-spectra models using the integral length scale

fit the data well. Applying Houbolt's digitizing correction factor, however,

will bring the data into better agreement with the theory. Curve-fitting the

data to obtain a value of the parameter (L2/

3

/<r2), however, improves data

correlation with the von Karman model.

As to the two-point auto-spectrum of the gust velocities, the quadrature spectrum is always smaller than the coincident spectrum for frequencies less than about 0.4 Hz. The coincident spectra have the highest value

at a frequency of about 0.078 Hz and then decrease to near zero at a frequency of approximately 1 Hz. The quadrature spectrum of a single-point

cross-spectrum, however, is not always less than the coincident spectrum in

the lower frequency region. Houbolt and Sen's model of the two-point autospectrum for the longitudinal velocity component in its original form does

not agree with the data as well as the new corrected form of the equation.

The two models predict lower values than the data in the high-frequency

region.

In general, the turbulence behaves very similarly to isotropic homogeneous atmospheric turbulence. This ma;y be a consequence of the fact that

the ratio of the 19.5m span of the B-57B turbulence length scale is small.

Additional flights at lower levels and perhaps closer to the storm front may

be required to further investigate the non-isotropic turbulence.

67
REFERENCES

Bendat, J. S., and A. G. Piersol (1971): "Random Data: Analysis

and Measurement Procedures." New York, John Wiley & Son, Inc.

Reeves, P. M., G. S. Campbell, V. M. Ganzer and R. G. Joppa

(1974): "Development and Application of a Non-Gaussian Atmospheric Turbulence Model for Use in Flight Simulators." NASA

CR-2451.

Reeves, P. M., R. G. Joppa, and V. M. Ganzer (1976): "A NonGaussian Model of Continuous Atmospheric Turbulence for Use

in Aircraft Design." NASA CR-2639.

Houbolt, J. C. and Asim Sen (1972): "Cross-Spectral Functions

Based on von Karman's Spectral Equation." NASA CR-2011.

Frost, W. and T. H. Moulden (1977): "Handbook on Turbulence."

New York, Plenus Press.

Campbell, G. A. and R. M. Foster (1954): "Fourier Integrals for

Practical Applications." D. Van Nostrand Company, Inc. (New

York).

Frost, W. and M. C. Lin (1983): "Statistical Analysis of Turbulence Data from the NASA Marshall Space Flight Center Atmospheric Boundary Layer Tower Array Facility," NASA CR-3737.

Houbolt, J. C., R. Steiner, and K. G. Pratt (1964): "Dynamic Response of Airplanes to Atmospheric Turbulence Including Flight

Data on Input and Response," NASA TR R-199.

68
APPENDIX A
ORIGINAL PAGE IS

OF POOR QUALITY

(X fO

Q_

C

O 4->

•»-> o>

o ••-

CO i—

S- U_

o

*3-

oo i0> Q o

r- S <U

— l/>

* in

^- LO (T>

r— .. O

un i—

3 ro

OJ O) (O

-»-> = StO -r- 3

Q t— Q

o

o

o

CTi

O

O

O

00

(6ap)

CO

o

I

CO

TJ

CO

C

O

CO

o

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CTl

00

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OJ

co

CM

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o

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o

o

o

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en

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d

0)

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I I i 1 1

r

t

O

ce

o

d

o

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(D 0)

. a

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a:

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dX

o

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o

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en

A.2
TABLE A.I. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 2.

I. Mean Airspeed (m/s)

v

R

121.2 120.3 122.2

Standard Deviation of

Gust Velocities (m/s)

W,XL

1.13

a

w.xc

1.12

a

w.XR

1.22

(J

W.YL

0.96

(7

W.YC

1.00

<7

W,

YR

1.01

III. Standard Deviation

of Gust Velocity

Differences (m/s)

a

w,ZL

a

w,zc

1.42

W,

ZR

1.40

RL

0.49 0.51

0.39 0.39

o,

0.48 0.46

0.71

HCL XRC XRL

0.40

0.54

IV. Integral Length Scale (m).

XL

\L

645

L

1563

\

550

zc

1592

1272 1329 1163

627

R

H67

A.3
1.0

0.8

R = Right

C = Center

J_= Left

(0

8

D-,

0.2

0.0

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.3. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 2.

A.4
a

•••4

u

ti

o

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.4. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 2.

A.5
WXRC

a

V

o

o

c

o

n

o

(X

I

1000. ' 2000. 3000. 4000.

Spatial Lag ,S=VT(m)

Figure A.5. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 2.

A.6
ID'1

10*

\

* 10°

10-

•von Karman

N=1024

SEG.= 4

—von Karman

N=1024

SEG.= 4

von Karman

N=1024

SEG.= 4

von Karman

N=1024

SEG.= 4

mill i iimiJ i_.i-i_miil i ii

—von Karman

N=1024

SEG.= 4

Wy

, inmil . .,|,|J I ili.Mil

von Karman

N=1024

SEG.= 4

—von Karman

N=1024

SEG.= 4

von Karman

N=1024

SEG.= 4

r •?

—von Karman

N=1024

SEG.= 4

I I tllUll I I II Mill I llllinl I llllllJ

io~

8 10° 10° io~

8

10°

= u/V

Figure A.6. Normalized auto-spectra of gust velocities, Flight 6, Run 2.

A .7
10s

6" 10°

\

S

37

* 10-a

108

tr

6" 10°

10-

10a

N=1024

SEG.= 4

WXCL

i iniiiil i i i iiua i i i

N=1024

SEG.= 4

. N=1024

SEG.= 4

N=1024

SEG.= 4

+V>

tint i i iiinil i i it u ill

N=1024

SEG.= 4

N=1024

SEG.= 4

I.IIMll

5EG.= 4

WZRL

10~8 10° 10~a 10°

« = cj/V (m

ID'2

10°

Figure A.7. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 2.

A.8
w w w.

^.

-e«"

'' 10 ._ *v°

10° 10° 10i-Z 10°

K =

Figure A.8. Two-point cross-spectra of gust velocities, Flight 6, Run 2,

A.9
ORIGINAL PAGE 8S

OF POOR QUALITY

TABLE A.2. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 2.

3

4"

5

6

7-

~8

9

10

11

12

13

i*

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

3*

35

36

37

38

39

*0

41

»2

»3

*4

45

48

49

50

51

t>2

13

54

5i

56

•7"

58

START TIH E •

CHANNEL UNITS

RToTsFC

G UNITS

49555.4388

HIGH

STOP TINE -'4966*.6138

LOW NEAN RHS

ACC L N CG

THETA DOT

THETA

PHI ••" "

PS II

DElTPSTT

PS I 2

DEL PS 1" 2

ACC L N LT"

ACCL N Rf

ACCL X JCG

ACCL'Y CG"

ALPHA CTR

BETA CTR

TENP I

TENP P

ACC L Z INS

ALPHA RT

BET A RT

ALPHA LT

BET A LT

PS I DOT

TENP TOT

OC if

OC CTR

OC PT

PS

TENP IRT

0 TO G

~B TO p

LONG

LAT ~

TDK ANG

HOG

VE

V N~ "

ALTITUDE

RAO/SEC

R AO _"_'

RAD

DEGREES^

"DEGREES

DECPEES

DEGREES

G UNITS^

C UNITS

GUN ITS _

"G"UN ITS

R AD

R AD

OEG'F

PEGF'" "

G UNITS'

.070

1.300

.045

.068

17582

"271.335

_ 1.227

_ 1.685

_ 1.759

.077

_ •21"?

_ .006

__ .020

J 11.396"

89.6*7

1.332

-.099

.598

-.033

"~ .008

-.104

J69.652_

-2.474

"267.462

-2.801

2_ . 330

•231

__ .

_ -.187

__ -.061

-.073

T69.597

89.467

.553

r RAD

R AD

r PAD

R AD

RAP/ SEC"

r DEC c

psin

PSID

PSID

PSIA

r OFG c

HETERS

.016

.052

.021

.012

.039

31.098

1.067

1.050

1.093

10.979

28.445

0769139. 891C

-.053

-.034

-.058

-.072

-.035

29.914 31

.898

. .«91 ,

.915

10.927" li

25.534 2

•756035. 93 0»*«*

-.00312

.99372

.00494

.04226

-.01153

271.32161

-.73362"

J69.18582

-1.06147

~_~ 1.C1157

_ 1.02622

.04435_

_".00601

_ -.02507

__ -.02177

lit.43740

89.t0903

1.00215

-.01960

.01299

-.01736

-.02644

.00330

30.40423_

.97588

.96142

.99221

10.95826

26.81273

.02051

.99597

'.00894

_^04376

.02588

271.32272'

l". 06268"

J69.18692

_' 1.30520"

'_ 1.02036

_" 1.03719

_.0450(r

.06275

.02594

.02430

JliO.43846

89.60906

1.00463

.02110

.01639

.01873

.02617

.00981

30.40585

.97651

.96207

.99294

10.95827

26.82397

4367

4367

DEGREES

DEGREES

DfC^EES

RADIAN S

H/SEC

KM

OEr.SEES C

KNOTS

KNJ1TS

OEGf ItS

H/SFC

H/StC

H/SEC

80.516

-104.683

39.751

272.t51

4.786

-119.616

5.714

2.430

22.831

2.913

-1.773

16.259

359.981

128.106

125.644

126.979

60.412 80.46366 60.46387

-104.839 -104.76115

39.752 39.75407

270.614 271.5D367

4.715 4.74643

-124.401.-122.39509

EU WHO SPO

NS WSO SPO

«IV> SPFFO

WIS O CIPtC

AlRSPFEn R

AIRSPEED C

AIRSPEED I

JDJITA ALT HETERS 18.118L

iSRfroi!

UG RIGHT

UG'CEHTf

UG LEFT

VG RIGHT

VG CENT!

VG LEF T

«<^ RIGHT

UG CEN T

hG LEFT

1.6C2

2.392

22.751

-9.347

-15,637

1.P47

.104

117.665

116.119

116*519

-19.650

3.23602

2.40747

23.19801

-4.43574

-6.71558

6.32219

42.06074

122.16261

120.31C60

121.18580

-4.51043

OISP HETERS 1

KT

TEI

T

HT

iTEJ

T

HT

ITEI

T

H/SEC

I H/SEC

H/SF C

H/Sf C

t H/SEC

H/SFC

H/SFC

I H/SEC

H/SEC

6.724 -19.872

2.537

2.396

3.172

2.643

2.591

2.419

5.439

4.816

5.469

-4.374

-3.895

-3.404

-4.054

-4.563

-4.377

-4.436

-3.611

-4.375

-4.71472 ;

-.00000

.00000

.00000

.00326

.00347

.00391

.00511

.00623

.00477

104.76116

39.75'07

271.53426

4.74645

122.40376

3.45109

2.40749

23.19873

4.92013

6.97546

8.53608

67.00408

122.18359

12P.32964

121.20421

10.066p3_

10.09669

1.20677.

1.10697

1.12080

.97500

.96989

.93178"

1.36188_

1.37941

1.40635

A.10
ORIGINAL PAGE IS

OF POOR QUALITY

01

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A.12
TABLE A.3. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 3.

I. Mean Airspeed (m/s)

111.5 110.7

R

112.4

n. Standard Deviation of

Gust Velocities (m/s)

a

WXL

3.75

a

WYL

1.77

cr

w

xc

WYC

1.81

WXR

3.68 - 3.73

a

WYR

1.73

III. Standard Deviation

of Gust Velocity

Differences (m/s)

0.64 0.65

0.60 0.59

0.66 0.72

0.82

HCL XRC XRL

0.65

0.83

a

WZL

2.10

a

w,zc

2.04 2.24

IV. Integral Length Scale (m).

554

ZL,

940

\

\

541

1042 1043 1038

559

976 1050

A.13
1.0

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

Figure A.11.

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations) •

i

Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 3.

A.14
a

V

'3

<u

o

a

o

33

jg

<u

i*

LI

o

o

i

o

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.12. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 3.

A.15
WXRC

a

•i-4

U

•1-4

«*-•

«fc-(

0>

o

c

o

O

u

i

o

n

'S

a.i

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

300Q.

Figure A.13. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 3.

A.16
10

N

b

•von Karnvan

N=1021

SEG.= 3

\

I

von Karman

N=1024

SEG.= 3

von Karman

N=1024

SEG.= 3

—von Karman —von Karman —von Karman

N=1021

SEG.= 3

von Karman

N=1024

SEG.= 3

K = u/V (m-1

10,-a 10°

Figure A.14. Normalized auto-spectra of gust velocities, Flight 6, Run 3.

A.17
102

 r'

r

b^

b~ 10°

10-*

108

tr

tr io0

* ltr*

10s

b"

b~ 10°

10-

2

N=1024

SEG.= 3

WXCL

,,J , , ,,,,J

N=1024

SEG.= 3

WYCL

V

i iinitj I iiinij i i i mill 1 lim

_ +

F +

N=1024

SEG.= 3

+ WZCL

N=1024

SEG.= 3

WXRC

**

N=1024

SEG.= 3

tiniJ i 11 mill i i t innl t IIMIH i i mini i i mini i t imitl i

SEG.= 3

V+m

F

5EG.= 3

WZRL

10- 10° io~8

/c =

10° icr8

10°

Figure A.15. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 3.

A.18
«„ w w „ w.

10~

8

10° ID'2

 10°

K = u/V (

ID' 10°

Figure A.16. Two-point cross-spectra of gust velocities, Flight 6, Run 3.

A.19
ORIGINAL PAGE IS

OF POOR QUALITY

TABLE A.4. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 3.

START TIME • 49609.4844 STOP TIHE • 49883.9094

CHANNEL

2 PHI DOT

3 ACCL M CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

« DEL PSI 1

9 PSI 2

10 DEL PSI 2 TM

11 ACCL" N LT

12 ACCL H RT

13 ACCL X CG~-

UNITS

PAC/SEC

6 UNITS

RAD/SEC

RAO "

R AO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

14 ACCL f CG 6 UNITS

15 ALPHA CTR

16 BETA CTR

17 TEM P I •""

18 TE1P P

19 ACCL Z INS "

20 ALPHA RT

21 BETA RT

22 ALPHA LT

21 BETA LT

24 PSI DOT

25 TF1P TOT

26 OC LT

27 OC CTR

26 OC RT

29 PS

30 TEMP IRT

31 0 TO G

32 B TO D

33 LONG

34 LAT

33 TPK ANG

36 NOG

37 VE

38 VN

39 ALTITUDE

40 TEMPC

41 EU WHO SPD

42 r-S WND SPD

43 wlND SPEED

<.<r WIND OIPFC

* ? AI8SPEE P f i

»6 A10SPEE P C

47 AIRSPEED L

48 DELTA AIT "

49 INRTL OISP

50 UG RIGHT

51 UG CENTE R

5i UG LEFT

53 VG RIGHT

54 VG CENTE R

55 VG LEFT

56 UG RIGHT

57 UG CENTER

58 UG LEFT

R AD

R AO

DEC F

DEC F

G UNITS

R A O

RAD

RAO "~1 ~~

RAD

RAD/SEC

OEG C

PSIO

PS ID

»SID

PSIA

DEC C

METERS

DECREES

DEGREES

DEGREES ""

OCCPFES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNCTS

KNOTS

DFCPEES"""

f/Sf C

•»/sir

M/SfC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SE C '""

M/SEC

M/SEC

M/SEC

HIGH

.072

" 1.627

.037

.094

.041

313.321

2.904

314.988

2.874

2.020

1.859

.139

.175

" ~ .058

.036

107.798

'90.006

1.633

.068

.063

.C69

.021

~.03f

29.914

LOW

-.C88

.642

-.045

.031

-.069

308. ?97

-1.857

310.060

-1.802

.160

.182

.032

-.159

-.054

..C72

106.899

89.647

.620

-.060

-.035

-.039

-.085

-.027

28.240

ME AM

-.00324

.99422

.00481

.06292

-.00889

310.69637

.51978

312.55654

' .51022

1.01168

1.02835

.06434

.00796

-.01C4P

-.C2107

107.33032

69.83471

1". 00 459

-.00229

.01447

.00071

-.02642

.00346

28. ^4907

BHS

.02078

.99850

.01095

.06434

.02096

310.69764

1.02301

"312.55775

1.01485

1.02621

1.04275

.06518

.05271

.01490

.02740

107.33076

"89.83472

1.00892

.01282

.02156

.01119

.03106

.01146

28.95259

.979 .756 .82327 .82447

.944 .751 .81163 .81273

.993 .763 .B3729 .83843

10.979 10.680 10.95411 10.95412

24.966 13.439 20.73977 20.83180

8742922. 2148737460. 433****»***»»************

R0.291

-105.006

39.858

313.111

5.496

-82.071

78.414

2.612

23.458

9.351

7.154

11.503

3 59. 99 «

122.176

11<5.?03

121.133

- 195.070

0.000

5.250

4.576

4.812

4.611

4.474

4.239

7.622

6.933

8.091

ftO.229

-105.082

39.804

311.MO

5.410

-85.818

73.974

2.392

22.310

-16.032

-17.B97

2.391

.072

197. f45

1C6.66P

107.221

-24.882

" -15.034

-11.902

-10.520

-11.826

-6. 080

-6.336

•7.339

-8.3S6

-6.C<1

-5.981

80.26050

-105.04370

39.83064

312.CB4iB

5.45239

-84.17617

76.04477

2.41049

22.84Z7R

-7.78967

-.60240

10. "4)20

105.75741

112.42393

110.730<53

111.49930

"" " -6.41 523

-5.23568

-.00000

-.00000

-.00000

-.01278

-.01492

-.01482

""-.04249

-.03757

, -.03986

80.26050

105.04370

39.83064

312.014*0

5.45241

84.18227

76.05794

2.41049

22.R4376

9.22385

6.2764*

11.15677

129.53243

112.4'»<;-»0

110,?ft63"

111.53747

8.34518

6.13721

3.73122

3.68761

3.75082

1.71976

1.798P4

1.76225

2.22740

2.03396

2.09167

POINTS

3121

3121

3121

3121

3121

3121

312'i

3121

3121

3121

3121

"3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

3121

A.20
ORIGINAL PAGE |S

OF POOR QUALITY

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A.22
I. Mean Airspeed (m/s)

R

108.4 107.7 109.5

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

0.49

0.46

0.52

0.53

0.43

0.48

0.67

0.48

rZRC A¥ZRL

0.56

H. Standard Deviation of

Gust Velocities (m/s)

a

WXL

0.98

a

WYL

1.97

a

WZL

1.23

V. Integral

\L

(7

w

xc

0.97

a

WYC

1.92

a

Ww

zc

1.20

Length

\c

a

WXR

1.03

a

WYR

1.91

a

WZR

1.22

Scale (m)

\R

260 302

\

216

1159 1116 1141

Sr

617 678 694

TABLE A.5. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 4.

A.23
^ RighV ' ' '

C = Center W

L = Left

I I I I I I I

w

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

5.

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.19. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 4.

A.24
c

V

'a

v

a

a

o

0)

h

O

u

I

O

1 1 1 1 1 _l

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.20. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 4.

A.25
a>

o

o

c

o

E

o

I

o

.go

a,

i

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

Figure A.21. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 4.

A.26
108

10°

N

b

108

10°

10-«r

von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

I

von Karman

N= 512

SEG.= 5

von Karman

N= 512

5EG.= 5

von Karman

N= 512

SEG.= 5

Wy

von Karman

N= 512

5EG.= 5

W,

—von Karman

N= 512

SEG.= 5

i.im,l . in.,,,1 , il i . ,,|,J

—von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

10" 10° 1(T2

 10°

K = u/V (m

ID"

8 10°

Figure A.22. Normalized auto-spectra of gust velocities, Flight 6, Run 4.

A.27
102

r 10°

102

102

6

N= 512

SEC.= 5

WXCL

N= 512

SEG.= 5

N= 512

g + SEG.= 5

+ V WZCL

N= 512

SEG.= 5

WXRC

N= 512

5EG.= 5

WYRC

V

+ .

N= 512

SEG.= 5

WZRC

N- 512

SEG.= 5

WXRL

iiml i i i mitl i i mint i i i null

N= 512

SEG.= 5

N= 512

SEG.= 5

WZRL

10,-2 10° 10~2 10°

K = u/V (m

10°

Figure A.23. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 4.

A.28
10*

's?

""•=•

 10

•e-""1

io-2

io8

^^

".„ 10°

&

io-8

10*

^~.

"%

 10°

tAt

•w*

io-«

r

•

•

•

•

r

r

—

r

r

r

r

r

r

r

r

r

r

r

r

;

r

r

r

r

r

f

r

r

r

r

r

r

r

r

r

r

r

r

r

r

'

f

r

[

w

x

w

z

LL

— -LC

r

 — LR

• ^ ^^^

~ * \A

r \'v. |L

r

 XA$

r \ty

r N

r

" i iiiurJ i uiHiJ i iiiiml i i initl

CL

-— CC

f

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: \ ^^"\

r v^.vW^

r

 VA^\

f

r

 N

" i iiiurJ 1 until i iinrnl i i HiJ

— RL

— -RC

r — RR

r > v^v

r .

>

*.>''v

V ^* 1^

r ^\*

r \J

: r

r

10~8 10°

r

|-

r

r

r

r

r

-

r

r

r

r

r

r

r

r

r

r

r

r

i

r

r

*—

r

r

r

^

r

1

r

r

r

r

r

r

r

r

r

r

r

!

r

r

r

r

w x w y

— LL

— -LC

r \ —

 LR

1 V ^S

~ \ V.

r \*\V

r

 Vxo\

r '-A

r ^

r

CL

— -CC

r \ ~~

CR

- v^v

r \\V

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— Ud

~

i mini i nrntJ f MinrJ i i iniiJ

— RL

-— RC

r , — RR

r x \^

r \ N^)v ^ \ ^ii.

r s ^ <\

r Vft

r

r

:

,,,.,nl J A , ,,,J

10~B 10°

K = u/V (m'1)

r

r

r

r

r

r

r

—

r

w

w

3

r

r

r

r

r

r

r

r

=

r

;

r

r—

r

r

r

^

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

-

r

r

r

W YW

Z

— LL

— -LC

r . — LR

r \^\

i \ V

r~ » \t\ Vj

r

 V\"^N

r VK

r ^

r

i muni i iinml i iiintil i IIMH{

CL

— -cc

r \ ~~

CR

r

 4N\

r ^\,

r

 V/\'iA

r ^

r

" i MI lilt! i i mini i i nitirl i mittJ

RL

— -RC

r v — RR

" \^\

\ ** "t

\ * '*! ^1,

^w'v

V 7* MB

r

:

, Minn! , ,,,,ml ml J

10~2 10°

Figure A.24. Two-point cross-spectra of gust velocities, Flight 6, Run 4.

A.29
ORIGINAL PAGE IS

Of POOR QUALTTY

TABLE A.6. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 4.

START TIME • 49983.5647

CHANNEL UNITS HIGH

2 PHI DDT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

d DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL~N LT

12 ACCL N RT

13 ACCL X CG"

14 ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

IB TE1P P

19 ACC L Z INS "

20 ALPHA RT

21 BETA RT

±Z ALPHA LT

23 BETA LT

24 PSI DOT"

25 TE1" TOT

£6 OC LT

27 OC CTR

26 OC RT

29 PS

30 TEMP IRT

31 0 TO G """ "

32 B TO 0

33 LONG"

34 I AT

i5 TR< AMG

36 HOG ""

i7 VE

38 VN

39 ALTITUDE

«0 TE1PC

41 EW UNO SPD

42 MS U<«0 SPD

*3 WI'O ?PEEO

.4'hHD DIPEC

•d i!OS»EEO P

ii AIRS»FE D C

47 AIRSPEED L

46 DELTA ALT

49 INRTL DISP

5C UG RIGHT

51 UG CENTER ""

52 UG LEFT

53 VG RIGHT

54 VG CENTER

5! VG LEFT

56 WG RIGHT

57~W G CENTE R

58 WG LEFT "~"

RAO/SE C

G UNITS

RAD/SEC

P AD

R A D

DEGPEFS

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R A D

RAO

CEG F

DEC F

C UNITS

R AP

RAO :

RAD

R A D

RAD/SEC"

DFG C

PSIP

PSID

PSIO

PSI A

DEC C

HE T EPS

DECREES

DEGREES

DEGREES

OtCREES

RADIANS

M/S? C

H/SEC

KM

DEGREES C

KNOTS

KNOTS

KKGTS

.DECRFES"

M/SE T

"/SEC

M/SEC

METERS

METERS

M/SFC

H/SEC

H/SEC

M/SEC

M/SFC

M/SE C "

M/SE C

M/SEC

H/SFC

.091

1.Z93

.029

.097

.042

221.749

-.327

383.261

-.481

1.778

1.499

.133

.160

.034

.041

106.f 39

90.006

1.285

.056

.073

.054

.C29

.033

2f>.<30

.839

.827

.859

10.966

STOP TIHE • 50050.6647 POINTS

LOW MEAN RMS

-.066

.743

-.033

.044

-.055

217.874

-4.061

579.727

-4.242

.440

.399

.038

-.146

-.029

" -.047

105.619

89.826

.751

-.021

-.011

-.017

-.047

-.027

27.453

.659

.664

.671

10.928

-.00283

.99291

.00433

.06338

-.01429

"220.18189

-1.88476

.981.82887

-2.06B24

1.01031

1.02689

.07836

.01505

-.00596

-.00462

106.13671

89.69643

1.0C476

.00596

.03009

.00762

-.01116

.00300

2*. 27712

.77766

.76766

.79386

10.94477

.01781

,99529

.00828

.06433

.02436

220.16367

2.07056

981.82949

2.24112

1.01795

1.03394

.06118

.04168

.01106

.01537

106.13888

89.89847

1.00707

.01297

.03312

.01297

.01711

.01106

28.27952

.77898

.76890

.79516 "'

10.94478

19.717 17.880 19.09111 19.09499

6727618. 7658722005. 619»»*»«*»«***»**»**»***«

80.158

-105.194

39.842

222.493

3.696

-66.633

-79.190

2.430

23.216

9.174

-.177

14.166

359.947

113.792

111.724

112.932

2.670

" o.coo

2.922

2.533

2.820

3.459

3.934

3.552

3.893

4.189

4.554

80.130

-105.251

39.792

219.846

3.829

-76.635

-P5.614

2.402

22.100

-9.308

-13.973

2.910

.030

100.949

100.437

100.083

-29.156

-23.903

-4.777

-4.499

-3.840

-5.390

-5.667

-6.676

-4.305

-4.193

-4.099

PO. 14442

-105.22186

39.61719

221.46507

3.86650

-73.54235

-83.09595

2.41729

22.49604

-3.09424

-5.67366

7.42542

91.36132

1C9. 51228

107.73473

108.41707

-9.49684

-11.00873

.00000

.00000

.00000

.00741

.00539

.00808

-.00760

-.00448

" -.00579

80.14442

'105.22186

39.81719

221.46663

3.86653

73.61339

83.11787

2.41730

22.49730

4.56039

6.1573«

7.66227

146.3)400

109.55540

107.77641

106.46061

11.60598

12.86281

1.01469

.95252

.97071

1.89446

1.90553

'1.9518 1

1.20733

1.18C24

1.21073

26P4

2684

2684

2684

2664

2664

2684

2684

2664

2684

2684

2684

2664

2684

2684

2684

2684

2684

2684

2684

2684

2684

2684

2684

2684

2684

26P4

2684

2684

2664

2684

2684

2684

2664

2684

2664

2684

2664

2664

2664

2664

2684

2694

2664

2684

2684

2684

2684

2684

2684

2664

2684

2684

2684

2684

2684

2684

A.30
>

•F"

4J

IB

OL 10

Q.

C

O 4-»

•c- .C

•»-> o>

O ••-

O) i—

s_ u_

Q O

I I

CO

O

I

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13

ro

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in-0

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I •rOt

00

If)

en

co

to

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c> o i— o

y\ Q u

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<— •• co

in co

>»io

3 co ••

4J E i.

(0 -r- 3

Q I— Q

(6ap)

(O

0.

o

C

o

C

ien

CO

VO

OJ

CSJ

0

O

0

0

O

o

00

0

0

0

0

0

0

o

o

o

ir>

ORIGINAL PAGE IS

OF POOR QUALfTY

LD

C

3

C

O

0}

O

fO

Q.

Lf)

CNJ

Ol

A.31
o

CXJ

o

o

_

oc

tM

ct

M

O

CO

o

CD

o

oI I I

ce

x

1r

O O O D O

CM .-. ^-. CM

I I

X

2

<

(s/ui)

_ o

4

— 1 .

o

-

--1 1

-

ft:

>

22

rf*1 '

j

i i

;

-

.

i

'M

•

O

O

^H

CD

CO

,

O

(£>

^

CD

r\)

i i i i O

J

_ o

_l

X

£

a

:

1 jj

«

_j

^< ;

-!

-

CM

• — 1

O

O

.

CD

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0*

CD

' ii .

"

f

L_ !

0

*

O

CM

O

d o" o CD o CM — i — < CM

1 1

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w

N^^^*

0)

01

u tn

o

> a:

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o ••-

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••-> o i^ c

•r- CU

JC. i.

01

<L) MCM

cC

01

A.32
TABLE A.7. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 5.

I. Mean Airspeed (m/s)

R

104.0 103.3 105.0

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL HRC HRL

0.53 0.53

0.48 0.46

HCL HRC

0.68

0.51

n. Standard Deviation of

Gust Velocities (m/s)

(7

WXL

1.26

cr

WYL

1.97

a

1.17

IV. Integral

\L

763

2920

a u

WXC WXR

1.19 1.26

CT a

Y C YR

2.02 1.97

a a

WZC WZR

1.09 1.14

Length Scale (m)

\

L«r

rU Y AIDX

801 722

LTIT ^

vYrO NT i?n

2878 2932

0.55 0.52 0.60

411 ^05 351

A.33
0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.27. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 5.

A. 34
c

• l-l o

<u

o

u

d

.2

3i"oJ

o

u

I I I I I 1

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.28. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 5.

A.35
0>

V

8

Eo

u

I

o

(X

1.

0.

— 1 ^—

^ L

i. -

-l.

0.

WXCL

WZRC

WZCL

WZRL

1000. 2000. 3000.

Spatial Lag ,S--=VT(m)

•4000.

Figure A.29. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 5.

A.36
%

108

10°

10-r

•von Karman

N=1021

SEG.= 8

von Karman

N=1024

SEG.= 8

—von Karman

N=1024

SEG.= 8

von Karman

N=1024

SEG.= 8

—von Karman

N=1024

SEG.= 8

von Karman

N=1024

SEG.= 8

Wv

—von Karman

N-1024

SEG.= 8

Wv

•von Karman

N=1024

SEG.= 8

M,ll ,1 ! IM.IIll

io~

2 10° 10° io~

3

10°

K = oj/V

Figure A.30. Normalized auto-spectra of gust velocities, Flight 6, Run 5,

A.37
102

10*

b- 10°

\

s

•e- 10-e

io8

6

SEG.= 8

N=1Q24

SEG.= 8

* * +

WYCL

N=1024

5EG.= 8

*

WZCL

SEG.= 8

WXRC

N-1024

SEG.= 8

WYRC

N=1024

5EG.= 8

ZRC

+

 V

SEG.= 8

WXRL

ill t i nnnl i i mnil i iimiil

SEG.= 8

WYRL

N=1024

SEG.= 8

ZRL

10~

8

10° 10~

8

10° 10,-8 10°

Figure A.31. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 5.

A.38
102

3 10o

•«4

io-2

102

3 10o

•p?

•e*

io-8

10*

S^ 1()o

•&"*

io~8

r

r

r

r

r

r

5-

r

ijr

1

r

r

r

r

r

r

r

r

f

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

F

r

r

r

r

r

w „ w,

x z

— LL

-— LC

r\ LR

r\\

r\S: \

 V. -i Tkl

X.t "> Tl

n

r

~ i riniiJ i iiiuiJ i tintnl ii iimil

CL

— -cc

r\ —

 CR

r\\

r\ ~\\

• ^;\\

r "V*1*

r \JTm|

r ^

r

:

,, J ,,,„„! ,,,„„,! ,,„,»,!

— RL

-TM RC

r\ RR

r

\ wl

* u K'^ - ^i*, i^XL

r

 VV» Tl

: KVT

fr ^

- J , ,,,J , M,,nJ nJ

io-z 10°

r

r

;

r

r

r

r

r

r

w~

r

r

r

r

a

r

r

r

r

jI

r

r

^i

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

W W X Y

— LL

— -LC

r\ — LR

r

\Vx

r\^\

|

r

1

i i iimJ i i iniiJ i i iinJ i mini

CL

— -cc

r\ —

 CR

"

vNw

-\\\

;l

P

1

 J ,M,,.,J .,....,1 . ,umJ

. — RL

— -RC

r\ RR

r*v 'V.

r\Vv'\

I \ V, V

r \\S

*.v

r ^

10~8 10°

K = u/V (rn"1)

r

=

r

r

r

r

r

r

r

rr

jr

r

r

r

r

r

=

r

r

r

r

^

r

r

5

f

f

r

i-

:

r

r

:

r

r

r

=

s-

=•

f

r

r

r

r

N v W,

Y Z

LL

— -LC

f\ — LR

s-s- Mft

- * U

r

x

\ 'vv

["•^

r^ ^

i Miinil i i mini i i i|ffi|l i i iimJ

LL

— - CC

r\ —

 CR

=~

N

^ ^VL

i-\

 vr\

- \ "/y^ Wi '\ TI UL

r lu/w Tli

!

 \«7

r v

r %

r

:

 ,,i ,ni , ,„„„! ,,,„„;

— RL

— -RC

r\ — RR

F" ^ \*

^-\ ^'. V

= \ lN4»Tkj

- Vwi ^. "ML,

r \H^?I

I

r

 ^i iniiin i iinml i ii ii nil i mini

10~z 10°

Figure A.32. Two-point cross-spectra of gust velocities, Flight 6, Run 5,

A.39
TABLE A.8.

ORIGINAL PAGE IS

OF POOR QUALITY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 5.

START TIK E • 50119.3030 STOP THE • 90339*6090

3

4

5

6

_ 7

a

9

io

li

12

I*

"14

15

16

17

18

!'_

20

21

22

23

2*

25

26

27

28

29

30

31

32"

33

34

35

36

37

38

3'

40

41

42

43

t4

O

»6

47

48

49

50

51

52

53

54

55

56

57

5fl

CHANNEL,

H T DOT

ACCL N CG

THETA OPT

THETA

PHI

PSI 1_ _

PS I 2 ~"

DEL PS I 2

ACCL N LT

ACCL N'iRT

ACCJL X'C G

ACCL

_UN ITS

RAD/SEC "~

G UNITS

RAD/SEC

R AO

R AO

_DEGREES

DEGREE'S

DEGREE S_

DEGREES^

IG UNITS

G UNITS

GUNITS

HIGH

.072

1.405

.050

.119

.C71

_

_-15,C81

406.872_

_ tow

-.091

.598

-.041

.038

-.C67

_39,294

_-15.08i

401.240

1EAN

-.00269

.99269

.00467

.07520

-.01416

_42.695U_

-15.08145

403.89753

_ «"S _

.01681

.99521

,00960

.07674

.02443

_

_15.08145

403.89867

_POINTS

6820

6820

8620

8820

8820

_6B2Q

1.584"

1.650

y CG G UNITS

ALPH A CTJL7 RAD

BETA CTP RAD

TEMP'!" __ PEG f

TEHP P __DEG F

ACCL ZfINS G UNITS

ALPHA" RT RAD

BETA RT _ RAD _1_

ALPHA LT___ RAD

BETA LT RAD

PS I DOT

EMP TOL

OC LT _

OC CTR PSID

OC RT PSID _

PS"'" " PS U

TEMP IRT _ DEC C

D TO G HETERS

B TO D

.065

105.819

90.006

1.395

_-15,092 ^15,09198 __15,09198_

,276 1.01043 1.01767 _

7_ ,219 J.C2649 1,03414__

. 030 .07363 . 07?61_

_ -.146 .01275 .04444_

-.047 ,00259 ,01100_

_ -.063 __ -.00701 ,0161?

104.200_104.98570_104,98678

_«9.626 89.97672 69.97674

_1.C0300_

-.039 .01516

1.00544

.01932

RAD/SEC _

PEG c

>S IP

.087

.082

,045

.045

30.111

.810

.796

.82?

-.C27 ___ .02900 __ ,03193

-.030 .01708 _ .02095

1 '-.066.7'" -• 01406 '_ _ .01948

-.031 _ .00293 __ ,01041

28.733 _ 29,5475? _ 2.9.54858

,625 __ ,72406 __ ,72504

.626 .71451 .71541

.641 .73897 _ .73991

LONG

LAT

T8K ANG

HOG __

VE

VN

DEGREES

DECREES

DEGREES

OFGPEFS

RADIANS

_ _ _ _

__ 11.220 10.953 _ll.lb922 11.U922

21.511 5.738 17.96417 18.39268

8743166. 0548724791. 258*******«*»**«'*»»******

80.157 80.20184 80.20184

-105.216 -105.12401

8820

6620

6820

8820

_882Q

P820

6820

_882p

6820

6820

_8820_

8P20"

8820

8820

8620

8820

_882CJ

8fl20

6620

8820

8320

8820

M/SEC

KH

DEGREES C"

KNOTS

KNOTS

KNOTS

ALTITUDE__

TEHPC

EW WND SPO

NS WND SPD

WIMO SPEED

WIND DI*EC

R

C

AIRSPEED L

DELTA ALT

INRTL DISP

JJG RIGHT _

UG CENTER

UG LfcF T

VG RIGHT

VG CEHTER

VG LEFT

WG RIGHT

VtGTCemEft. "H/SEC

WG LEFT M/«EC

80.247

-105.033

"" 39.935

44.722

.818

___76.89p

81.710

2.411

24.702

12.946

17.053

17.161

269.483

39.777

40.404

.714

«/SF C

••/SF C

M/SEC

HFTERS

HETERS

"M/SEC

H/SEC

H/SEC

H/SEC

H/SFC

M/SEC

10P.P42

109.834

137.888

0.000

5.270

4.699

5.387

8.610

8.252

'"" 7.948

5.907

7 5. 9 40"

6.026

75.593

2.219

23.486

-12.386

.084

2.931

120.177

97.935

96. "32

_ 96, 736

-54.264

-32.911

-J.P69

-4.949

-4.978

-4.284

-4.442

_ -4.446

-4.133

-4.293

39.85618

41.76970

.76373

71,13980_

79.65279

2.25514

24.23264

-1.61147

10.81328

11.63981

173.57646

105.02261

103.30915

103.98006

-18.09718

-20.25578

.00000

.00000

.00000

-.02269

-,022"2

-.02177

' " ' .00099

_ »CQ104

7 .00186

105.12402

39.85620

41.78378

.76394

71,17836

79.66807

2.25515

24.23327

4.26244

11.11099

11.90052

174.84177

105.05459

103.34013

104.01337

19.40637

21.63720

__1.38508_

1.31898

1.40710

1.9B759

2.02529

1.97693

1.15474

_ 1.12373"

1.20869

_

8820

8820

8820

8820

6820

_882Q

6820

8820

8820

8820

8820

8820

6320

88?0

8829

8820

»820

6820

6820

8820

8820

8820

J820

8820

8820

A.40
9F POOR

a:

*«

UD

C

O

(O

o

l+-

c

ro

Q.

CO

0)

3

cn

A.41
a:

rvi

3:

o

(\J

o

o

o

oo

CD

CO

o

o

a)

o;

I L_

i i

O

C\J

O

o

o

CO

o

CD

O

(\J

O

<u

w

0)

ac.

X

O

Of.

X

o

X

o

-. CD

O

O

CD

O

CO

o

M

O O O O O (M ^-i «-H (SJ / / \ (

s

/

m

)

a a a o o

CM -j —i CM

I I

to

3

a>

•o

c

(O

</)

01

CD

4-> «

to vo

3

CO I

0)

S- CO

-t-> CJ

to c

ro

cu

01

A.42
TABLE A.9. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 6.

I. Mean Airspeed (m/s)

127.2 125.9 128.0

U. Standard Deviation of

Gust Velocities (m/s)

a

WXL

0.97

w

xc

0.93

a

WXR

0.98

<7

WYL

0.86

a

w.YC

0.85

WYR

0.86

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

WZL

0.65 0.62

WZR

0.68

0.37

0.29

°AAWW

ZCL

0.34

0.38

0.33

0.36

0.48

XCL XRC XRL

0.32

0.38

IV. Integral Length Scale (m).

655

n,

698

599 599

718 651

477 866 875

A.43
1.0

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.35. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 6.

A.44
G

..-l

o

ao

o

u

o. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.36. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 6.

A.45
WXRC

a

<D

0)

o

o

c

o

<ot

o

o

I

o

a,

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.37. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 6.

A.46
102

 r

10°

10

,-s

io8

10°

ID''r

\

I

10s

10°

10-

ron Karman

N= 512

SEG.= 4

Wy

, j , ii.inil . i.mill i I.m

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

von Karman

N= 512

5EG.= 4

ll unit i i i inn i i 11 mil t i mini i i i null

von Karman

N= 512

SEG.= 1

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

10

-8

10° 10~8

*; =

10° 10' 10°

Figure A.38. Normalized auto-spectra of gust velocities, Flight 6, Run 6.

A.47
103

 r

" 10°

102

er

- 10°

•e- 10-a

io8

" 10°

A•r—i

>e>

N= 512

SEG.= 4

WXCL

n I I I nun I I I null

N= 512

SEG.= 4

WYCL

N= 512

SEG.= 4

WZCL

i ii mil i i i mill i i i mill

N= 512

SEG.= 4

N= 512

SEG.= 4

WYRC

N= 512

SEG.= 4

N= 512

SEG.= 4

XRL

N= 512

SEG.= 4

N= 512

SEG.= 4

1(T8 10° 10~8 10°

/c = «/V (m

10,-8 10°

Figure A.39. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 6.

A.48
10*

^^

^.^ 10°

Jfc

10~a

102

^^.^

•s? 10°

•&"*

io-z

10*

^^^

.„ 10° •r-t

•6-

10-

r

r

r

r

s

;

r

r

-

r

r

r

r

r

r

r

*

r

r

r

r

r

r

*—

r

r

r

r

Z

r

r

r

r

r

r

f

r

r

\

r

r

r

r

r

r

r

r

W

X

W

Z

— LL

— -LC

r

 — LR

r X

~ "^ v\.

- \ *» iM.

F *\ IM Md

= v <v *

r SA

r ^k

r

~ i umtJ t mm! i immt i iniflil

— CL

— -CC

r — CR

r ^\

P v \ ^^

r X"VvS

3 ^V *(W

s~ Aitt

r

" | |iuii{ i iniiiJ i i ii mil ft ii mil

— RL

— -RC

r — RR

\

r M

r^v\

f- vv iL

r ^

r

- J ,,,,J , 1 , ,,,,nJ

io-B 10°

r

r

r

r

r

~

r

r

L

-

r

3

r

r

r

f

3

-

r

r

|-

r

r

r

r

' —

r

r

r

§•_

T

r

•r

t

r

'

•

•

r

r

r

r

r

f

r

r

r

W

X

W

Y

LL

— -LC

r . — LR

r \

r \\;V

\ \'\ Ui

r ^ v *k

r M x

r

(llw

In

r

— CL

— -CC

r \ —

 CR

V ^w

- \'\\\

r

 X

VV\

r K!<!fy

r ^u

r

— RL

— -RC

r \ — RR

r-\\

r \v"vV

r V>vh

r

r

r

 1 ^

io-e 10°

K = u/V (m"1)

r

5-

r

r

r

i

r

r

L

-

rr

^

r

r

r

r

r

r

r

r

•

p.

J"

' —

r

Br

r

-

r

r

=

r

r

5"

r

r

r

i

S~

r

r

r

r

r

r

s"

=

W

Y

W

Z

LL

— -LC

r — LR

f ^A

r

 vi \\

x "^ \hi..

?~ *\ ^^ ^L

r \^i

•- *\*

£ V

|~

i iinml i i ipml i i inm i i mill

CL

— - CC

r

 CR

- ^

"" "x> VI

r

 x\o«vS

r M' \

T \

r

" < i mini i i iiiiiil i i until t i imiJ

RL

— - RC

r — RR

r ^\

r

 N

,( yi

r

 NX''V\

f v\ *»

r i

r

:

 „! ,,,,„„! 1 1

icr2 10°

Figure A.40. Two-point cross-spectra of gust velocities, Flight 6, Run 6,

A.49
OF POOR

TABLE A.10. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 6.

START TIME • 50*28.6107 STOP TIHE • 90490.6697

CHANNEL

2"PHI DOT

3 ACCL N CG

4 THETA DOT ""

9 THETA

6 PHI

7 PS II

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT"

13 ACCL X CG "

14 ACCL Y CG

19 ALPHA CTR

16 BETA CTR ~

17 TEMP I

18 TEMP P

19 ACCL Z INS"

20 ALPHA RT

?1 BETA RT "

22 ALPHA LT

Z3 BETA LT

*4 PSI DOT

>5 TEMP TCT

ib OC LT

27 OC CTB

28 OC RT """

Z9 PS

30 TEMP IRT~

21 0 TO G ~"

32 P TO D

33 LONG

34 LAT

J5 TR< ANG

36 HOG

37 VE

i3 VN

39 ALTITUDE

40 TEMPC

41 Eta WHO SPD

42 H? UNO SPO

4 3 Wls O SPEE D

S4 UltO OIREC

4f AIRSPEE D R

-.6 AlRSPEs D C

47 AIRSPEED L

48 DELTA ALT

49 INRTL DISP

50 UG »IGHT

51 UG CENTE R

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 WG RIGHT

57 WG CENTE R

53 UG LEFT

UNITS

RAD /SEC

G UNITS

RAO/ SEC ~

R AP

R AD

DEGREES ~

DEGREES

DEGREES

DEGREES

G UNITS

G UK ITS ""

GUNITS

G UNITS

RAD

R AO

DEG F ~~

DEG F

G UNITS"

R AD

RAD "~~

RAD

R AO

RAO/SEC

DEG C

PSIO

PS ID ""

PSID

PSIA

DEC- C

METER S

DEGREES

DEGREES

PEC-RFFS

OEGPEE S

RACTAN S

M/SEC

"/SEC

KM

OEGRfFS C

KNOTS

KNOTS

KNTTS

DEGREE S

M/SF.C

M/SEC

NF.TFRS "

METERS

M/SE C

M/SEC

M/SFC

M/SEC

M/SEC

M/SEC "

M/SEC

M/SEC

M/SEC "

HIGH

.042

1.257

".057

.051

— 187.583

1.258

949.226

.933

1.490

1.564

.057

.196

-.007

-.002

103.841

90.010

- - - ' 1.285

-.000

.004

-.008

" "" .031

34.345

1.228

1.194

1.244

11.426

29.651

LOW

-.060

.813

-.018

.007

-.081

"182.299

-3.708

540.298

-4.C36

.556

.539

-.009

-.157

-.050

-.051

103.461

89.826

.626

-.(50

-.016

-.046

-.053

-.019

33.262

1.G01

• 992

MEAN

-.00338

1.00089

.00520

.03411

-.02030

" 185.06099

-1.11855

",542.97195

-1.42698

1.C1348

1.03298

.02337

.00757

-.03472

-.02319

" 103.58465

90.00601

1.00756

-.03013

.01134

-.02760

-.02633

.00263

33.72498

1.11203

1.08P60

RNS

.01392

1.00309

.00893

.03595

.03077

185.06572

1.71416

542.97343

1.93100

1.02C71

1.04025

.02579

.04716

.03525

.02504

103.58469

90.00601

1.00980

.03094

.01419

.02636

.02970

.00938

33.72636

1.11357

1.09016

1.021 1.12582 1.12735

11.132 11.39266 11.39267

19.312 27.68251 27.71173

8746711. 4 888744720. 193******* ***************

80.291

-104.986

39.P19

186.743

3.285

-6.465

-122.561

2.282

26.194

14.546

i.too

14.679

3C8.574

134.202

132.142

133.704

190.245

15.716

2.264

1.802

2.288

1.653

1.843

1.670

2.627

2.485

2.563

8C.282

-104.994

39.845

182.965

3.195

-15.386

-129.667

2.073

25.726

6.C79

-6.354

6.154

261.925

122.138

120.417

120*906

-18.897

-13.749

-2.662

-2.548

-2.837

-2.788

-2.665

-3.106

-2.403

-1.959

-2.791

80.26641

-104.99027

39.87974

184.P3937

3.24291

-10.80429

-126.31606

2.39625

25.62766

9.47973

-2.71471

10.01628

286.28368

127.9S894

125.02934

127.22719

4.46942

4.58905

-.00000

-.00000

.00000

-.06271

-.06019

-.06200

-.02655

-.02548

-.02475

80.21641

104.99027

39.B7975

184.84427

3.24300

11.25805

126.33540

2.09627

25.82801

9.64587

3.17152

10.15389

2S6. 47080

128.02816

125.96772

127.26699

9.33149

9.19484

.97980

.90778

.96193

.91206

.92141

.91674

.75956

.63957

.73229

POINTS

2483

2483

2483

2483

2483

2483

2483

2483

2483

2483

" 2483

2483

2483

2483

2463

2483

2483

2483

2483

2483

""2483

2463

2483

2483

2463

2483

2463

24P3

2483

2483

2483

2483

24B3

2463

2483

2483

2463

2483

2483

24P3

248 3

248 3

248 3

248 3

2493

2483

2483

2483

2483

2463

2483

2483

"246 3

2483

2483

2483

2483

A.50
>

•t—

4-»

toa: 03CL cO •!-> O ••- O» i— s_ u_ •^a o•u T3C

CM

CO

O O

• O (/>

- CO

>» o

O) O) to

•M S 1-

<O ••- 3

o »— S

.c

•tJ(OQ.

•4->

JC

CT

OOoooooo

(6ap)

o•uoot.at

IT) O<*

o>

OJ

• 0)

Lf> T3

O 3

i.O

ooo

r-.

CD

CDO

o

to i—

• i

en

ro0

0

vo

at

ooo

COco:O-M(OOfOCL

•=1-

=CO) S- 3O1

A.51
LJ

X

u

Of

X

d

X

ac.

x

o

o

o

CD

o

CO

O

CSJ

o o

CM «

o o o

T-« (M

I I (s/ui)

o o o o o

CM —. —< CM

I I

O

O

cu

'

3

CD

-o

c

OJ

O CO

o

i— C

<U =3

VO

cn

O)

• r- *

S- CO

O Ol

4-> O

</> C

•r1" ^J

^: s_

0)

oo

O)

A.52
TABLE A.11. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 8.

I. Mean Airspeed (m/s)

101.6 100.7 102.4

H. Standard Deviation of

Gust Velocities (m/s)

u

w.XL

2.71

CT

w.xc

2.46

a

w.XR

2.31

a

w,YL

3.54

w.YC

3.53

a

w.YR

3.50

III. Standard Deviation

of Gust Velocity

Differences (m/s)

XRC XRL

a

w,

ZL

4.05

v

wzc

3.87

a

WZR

3.95

1.12

1.34

1.02

CL RC

1.11 . 1.02

°AW

 a/

ZCL

1.23

1.30

l.ll

TMZRL

1.52

IV. Integral Length Scale (m).

XL XC XR

412 411

\L \

387

1214 1122 1179

ZL ZC ZR

538 560 522

A.53
1.0 "iiii|iii r

w

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.43. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 8.

A.54
c

4)

<u

o

o

0)

IM

t,

O

u

o

1

I I I 1 I I

I \ I I I I

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.44. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 8.

A.55
<U

'o

0)

o

o

I

O

I

o

R

'S

O

H

1.

0.

-1.

WXRC

\

1.

 L

0.

-1.

0.

WZRC

WZCL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

-10GO.

Figure A.45. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 8.

A.56
01

b

102

10°

10

-t

\

I

io8

10°

10-

von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

WZL

von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

•von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

Wv

von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

ID" 10° 10~8 10°

K = u/v (m

10

-2

10°

Figure A.46. Normalized auto-spectra of gust velocities, Flight 6, Run 8.

A.57
©F. POOft'qUALrr*

108

10«

10-

10*

10°

io-8

108

100

io-8

:

 N= 512

! * SEG.= 3

f X WXCL

- +

^ % r

 ri

r

r

=z

' N= 512

f SEG.= 3

- •+•

r \ WYCL

r

r

 ++

• , ,,,„„! J , ,,„„,! ,,

:

j. . N= 512

f

 + SEG.= 3

F

 +++* WZCL

+

r ^w-i.

! ^

r

r

i tiiniil \ t t iiiti! t itnnvt i 11 inn

N= 512

!

 + SEG.= 3

f

 +\+ WXRC

r •)-.

|-

N= 512

f + SEG.= 3

f +

 WYRC

f

 +V

:

~ ,1 1 , ,,,„.,!

:

 N= 512

f

 + SEG.= 3

r ^ WZRC

•H-

*~ +*$*

\ ^

r

i i Html i i iitinl i i itttttl i i iiiti

N= 512

f

 + SEG.= 3

r

 %

+. WXRL

: V

r ^

r

B-

~ , 1 , 1 , in.ml , ,,,|,,,I

5

N= 512

F SEG.= 3

- +

r + WYRL

r +v**

5" +-KSteLi

- ^SSgf

• , , 1 , , 1 1 , ,,„„,!

N= 512

f

 + SEG.= 3

r ^ WZRL

[ ^

\ %

r

ID'

8

10° lO'8

K =

10° 10~

e

10°

Figure A.47. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 8.

A.58
w

x

w

z

' I I HUM InmiJ iltnitn i I HIM

1(TZ 10° 10~8

 10°

K = u/V (m'1)

101-8 10°

Figure A.48. Two-point cross-spectra of gust velocities, Flight 6, Run 8.

A.59
TABLE A.12.

ORIGINAL PAGE IS

OF POOR QUALmr

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 8.

START TIME • 93660.3312 STOP TINE 5070*.6812

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PS I 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N PT

13 ACCL X CG

14 ACCL Y CG

19 ALPHA CTR

16 BETA CTR

17 TEMP I

1* TEMP P

II ACCL 2 INS

20 ALPHA RT

21 BETA RT

12 ALPHA LT

23 BET* LT

?4 PSI DOT

29 TEHP TOT

26 OC LT

27 OC CTP

28 OC RT

29 PS

30 TEHP IRT

31 0 TO G

32 B TO 0

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

38 VN

3<J ALTITUDE

*0 TEHPC

*1 EU UNO SPD

••2 MS WHO SPD

<>3 WIND SPEED

*4 WIN D PI»£C

0 AI»$PES O R

"t AIRSPEED C

*7 AIRSPEED L

*8 DELTA ALT

49 INRTL OISP

50 UG RIGHT

51 UG CENTER

*2 UG LEFT

53 VG RIGHT

54 VG CENTER

i5 VG LEFT

i6 UG RIGHT

57 UG CENTER

IS WG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAO

RAD

DEGREES "

DEGREES

DEGREES

DEGPEES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

DEC F

OEG F

G UNITS

RAD

R AD

R AO

R A D

RAD/SEC

OFG C

PSID

PSID

PSIO

PSIA

DEG C ""

HETERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

H/SEC

H/SEC

KH

DEGREES C

KNOTS

KNOTS

KNOTS

OEGPEES

*/SEC

f»/SFC

N/SEC

"ETERS

*F.TFRS

M/SEC

M/SEC

*/SEC

N/SEC

M/SFC

H/SEC

H/SEC

M/SEC

H/SEC

HIGH

.174

1.319

.07*

.159

•027

215.409

3.374

977.262

3.226

2.385

2.388

.190

.169

.108

.046

104.740

90.196

1.578

.109

.078

.109

.035

.C72

31.391

.789

.775

.802

11.408

26.275

8749926.3231

80.304

-104.977

39.837

211.962

3.782

-45.370

-81.692

2.139

25.482

34.524

5.8*7

40.397

340. 7?6

108.704

106.930

107.636

20.040

12.470

10.C52

9.983

10.420

9.011

8.648

8.533

9.913

8.000

8.635

LOU

-.203

-.988

-.049

.028

-.143

208.364

-3.444

570.574

-3.683

-.153

.002

.013

-.153

-.100

-.132

104.021

90.006

.248

-.090

-.083

-.104

-.115

-.047

29.324

.548

.540

.562

11.332

16.841

8743122.163^

60.293

-105. CC3

19.602

2C7.390

3.660

-51.063

-R9.478

2.C85

24.775

4.018

-27.355

4.28*

236. 35C

91.117

89.413

89.982

-33.674

-31.109

-5.099

-6.966

-6.363

-10.139

-11.006

-10.721

-13.116

-13.043

-13.229

MEAN

-.00299

•24233

•00960

•06809

-.02451

212.69610

.79414

.574.66218

,65793

1.00628

1.02219

.07240

.00649

.00568

-.02270

104.32743

90.01833

.99982

.01595

.01371

.01824

-.02990

.00376

30.58600

.69984

.68636

.71087

11.36180

24.03299

1**+*+****+!

80.29620

-104.990**

39.81985

209.75281

3.73629

-49.12517

-85.94697

2.1180*

29.53891

17.76145

-7.58334

20.3*195

289.5*371

102.*01P3

100.65197

101.60862

-1.04461

-1.12069

-.00000

-.00000

-.00000

-.02614

-.02602

-.01972

.04793

.05927

.06483

RHS

.03979

.98619

.01804

•07672

.04010

212.70021

1.51749

574.66360

1.45830

1.04962

1.05830

.07744

.04530

.02565

.03688

104.32769

90.01834

1.01440

.03168

.02927

.03167

.03935

.02102

30.58919

.70147

.68780

.71220

11.36181

24.13850

I**********

80.29823

104.99048

39.81985

209.75801

3.73637

49.15723

95.98026

2.11B09

25.53938

18.51880

10.49269

21.26516

290.16391

102.45117

100.70629

101.66994

13.21209

12.50029

2.B9803

3.07606

3.2*473

3.35893

3.39950

3.42451

4.09810

4.06992

4.21581

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

177*

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

1774

A.60
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-M

-CO) U_«i co

•13<aoIDCLO) 3

A.61
<J

o

Ol

>

3

cn

-o

c

rej

c/)

a;

•r- O

o r—o

r— C

<1J 3

> ce

VO

en

01 U_

01

tl wT

o a)

•M o </i c:

•i- a

-C S_

a

ai ':-

o

ID

O)

Sa>

o o o o o

(S/WL)

o o o o o

CSJ —i —i CM

I I

A.62
TABLE A.13. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 10.

I. Mean Airspeed (m/s)

R

106.3 105.2 107.0

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC

1.00

1.05

1.07

Xc, °*

1.10

1.31

1.21

II. Standard Deviation of

Gust Velocities (m/s)

a

W

XL

3. 17

a

W

YL

20.63

a

WZL

2.71

a

wxc

3. 11

a

W

YC

20.50

a

wzc

2.59

a

W

XR

3.12

a

W

YR

20.88

CT

WZR

2.60

IV. Integral Length Scale (m).

866

C

894

V \

896

1.08 1.17 1.34

267 302

ZR

286

A.63
1.0

R'-'rflihfc

C = Center W

L = Left

i r

W

iiiii r

W

L

0?

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. . 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.51. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 10.

A.64
0

.^4

U

<u

o

u

0

o

5

.2

1!3_

SH

o

u

I

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.52. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 10.

A.65
d

o>

0>

o

o

o

3

.5

13

fc

o

u

o

a

•s

PL,

I

O

1.

0.

-1.

- i

r

-1.

WXRC

WYCL

NYRL

WZRC

WZCL

WZRL

0. 1000. 2000. 3000. 4000.

Spatial Lag ,S=VT(m)

Figure A.53, Two-point auto-correlation coefficient of gust velocities.

Flight 6, Run 10.

A.66
102

10°

ICT* r

von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

i I

von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

WYC

X

M.l , ,, I I ,1 1

von Karman

N= 512

5EG.= 5

ZC

—von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

WYR

X

von Karman

N= 512

SEG.= 5

10~2 10° ID'8 10°

K = u/V (m

10

,-8 10°

Figure A.54. Normalized auto-spectra of gust velocities, Flight 6, Run 10.

A.67
io2

tT 10°

" 10°

161

 10~8

IO8

6"

b- 10°

S^

>Q> tn-i

N= 512

SEG.= 5

WXCL

A

N= 512

SEG.= 5

WYCL

r- + -f

N= 512

SEG.= 5

, • 11,11,1 i muni , .11,11,1

N= 512

SEG.= 5

ml , , IMMl l , , ..... i

N= 512

SEG.= 5

WYRC

N= 512

5EG.= 5

WZRC

N= 512

SEG.= 5

WXRL

N= 512

SEG.= 5

N= 512

5EG.= 5

10" 10° 10~8

 10°

K = u/V (m

10

,-a 10°

Figure A.55. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 10.

A.68
•e10a

10°

io-2

IO2

10°

io-2

10s

i nO

w x w z

r — LL

r

r

r

r

r

r

B~

•

r

r

r

r

r

r

r

r

r

r

r

r

L

r — -LC

r

r

r

r

r

r

r ~A — LR

r ~ \\

r "\S\

r ^\

F \

r

r

=

 iiin,J llinul .....«l .iniml

— CL

r — -CC

r

r

r

r

r

r

1" \ ^

r \ v\

| ^'i TU

r ivfyj,

r '^

r

i niiiij i inittj i iniml i i mm!

— RL

f

 — -RC

r

r

r

r

r

r

r \ — RR

r ">, \

r \"vV

r "*vi

r V

r

r

io-8 10°

W XW Y

r —

 LL

r

f

r

i

^>

p

r

r

r

r

aTM

r

r

r

r

r

r

r

r

r

r — -LC

r

r

r

sr

r

r "> — LR

r '( *1y(jj|j

P *NjWu

r \ii9li

MITM

3~

r

r

- i ,,,„„! 1 ,.J

— CL

r

 — -cc

r

r

f

r

r

r

r ^ — CR

r ^ iSujpi

r

 ""V^xrftt l^> iWf

r

h^ JiA

TJlfl

r

r

r

— RL

p- -— RC

s"

r

r

r

3

r

r

r V — RR

hlS.

r~ * *%**ji L\ ~ \\ *W

r ^

r

^

r

:

,,,,,,,; ,,,„„! , J , ,,,TMJ

io-8 10°

W YW

Z

r

 — LL

r

gr

r

r

r

B~

E

I3

f

r

r

r

r

r

r

r

r

r

r ^ — -LC

s"

Bp

r

r

r

f

 . \

 LR

r ^^ > ^|u

r ^ ^vAfa

r "M^

r

r

r

:

, ,,,,,,,1 , ,,„,„! , ,N,M,| ,,,,,,,J

CL

g- — -CC

•

»-

—

sr

r

r A — CR

r J\,\h|

r V'v*?

r % r

r

r-

:

,,,,,,,J , ,,,„„! 1 1

— RL

r ^ — -RC

5-

r

r

r

r

r

r A RR

r~S> i v,. Vi»jt|

- ^ "iP

r ^to

r

r

r

i iiiiinl i i ntml i i tinm i i iimJ

10~8 10°

K = <y/V (m-1)

Figure A.56. Two-point cross-spectra of gust velocities, Flight 6, Run 10.

A.69
TABLE A.14.

ORIGINAL PAGE IS

OF POOR OUALfTY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 10.

START TTHE • 50888.3766 STOP TINE • 50997.9766

__ CHANNEL _

2 PHI OPT

3 ACCL N CG

4 THETA_DPT__

~ 5 THETA

6 PHI """

7 PSI l'"3 _

8 "DEL" PSI 1 _

"9 PSI 2" 1

10 DEL PSI 2

11 ACCL ~N" Lid

12 ACCL'N RT__

13 ACCL X CG J

14 ACCL V CG_

15 ALPHA CTP

16 BETA CTR ~~

17 TEMP i"~'__^l

18 TEMP P

19 ACCL Z INS_

20 "ALPHA RT

21 BETA RT ~~"

22 ALPHA LT_7

23 BETA LT

2* PSI DOT ""_;_

29 TEMP TOT J

26~OC LT " __

27 OC CTR ""_„

t8 OC RT

29 PS

30 TEMP IRT

31 0 TO G '_

32 B TO 0

13 LONG

14 LAT

35 TB< ANG

36 HOG

tl VE __ __

38 VH

39 ALTITUDE

»0 TEMPC

»1 EM hifi SPO

SPO

SPFEO

ni«£C

R

ti AtPSPEE O C

47 AIRSPEED I

*d DELTA ALT

*9 INRTL D1SP

90 UG RIGHT _

51 UG CENTER

52 UG LEFT

33 VG PIGHT

£4 VG CENTER

55 VG LEFT

56 KG RIGHT

__ UNITS

RAD /SEC

G UNITS

RAD/SEC_

"RAJ3 1" ~

RAD

DEGREES

"DEGREES

DEGREES

DEGREES

"C'UNITS

G UNITS

GUNITS

G" UNITS

PAD

R AD

DEC IF

DEG F

G UNITS

"

HICH

-.988

.078

.132

.C93

_

3*1.706

3.903

^2.307

'

__ trw

-.113

-.988

__..-• P34.

.024

-.079

_176.311

_-3.120

334.313

-3.331

»2

o

44

_

' .193"

_.165

_1" .097

.C57

103.661

~ 90.186

1.688

"

-.517

_ j.025.

-.114"

-.Pt5

-.104

"102.941

90.006 ""

_MEA N

-.00313

-.98774

.00588

.06787

-.01214

56811_

.17890

"337.60727_

"" -.01719

1.01049

__ 1.02517

.08002

RMS

.03061

•9B774

.01698

.07093

.02991

_179.59268

_"l.31236

_337.60677

1.29578

R AD

RAD '"

RAD

P AD

RAD/SEC

DEG C

PS ID

PS ID

PSID

PS1A

DEG C

.084

.077

.042

.072

31.763

.876

.850

.895

11.392

26.090

-.C51

-.C67

-.062

-.106

-.050

30.905

.649

.636

.650

11.356

18.086

(

<

4

31!

<

4

11

24,

.00964_

-.00429

-.01729

103.32871

90.17989

1.C0426

.00559

.01772

.00848

-.02495

.00308

31.21927j

.76703

.75168

.77854

11.37537

24.24345

__1. 05800

,09322_

.03889.

.01775.

.03070

JLP3.32879

90.17990

1.01364

.01944

I .02909

_.02029

.03382

.02057

_ 31.22030

_ .76798

.75256

.77942

11.37538

24.23960

"OtGPEES

DEGREES

OEGPFES

RADIANS

M/SE C

C/SE C ""

J743405.0188742233.354»********************«

80.295 "80.27 9 60.28717

-109.CIO -109.00882

39.779 39.R1396

177.2'»7

1.231

.743

DEG«FES

1/SfC

H/SEC

DETERS

I/SEC

H/SEC

M/SEC

M/SEC

H/SEC

H/SEC

M/SEC

53 WG LEFT M/SEC

-105.008

39.849

179.656

5.C51

9.141

"-106.581

2.122

26.999

211.599

1.C94

397.399

359.779

114.492

111.662

113.420

6.972

6.036

"" 9.270

8.462"

8.789

216.162

206.917

208.197

'_ e.i42_

6.895

8.411

3.14310

2.96916

-114.4t9 -111.46387

2.C97

24.832

-199.655

-295.580

2.770

.034

98.121

97.123

98.046

-16.652

-13.868

-8.189

-6.839"

-7.106

-211.920

-209.619

-213.526

_J-11.056_

-10.782

-10.754

2.10845

25.70599

9.37796

-15.19986

20.54753

310.58021

107.04264

105.22172

106.26403

-4.91937

-4.56191

__ .00000

•00000

.00000

-.00046

-.00531

-.00436

.02631

.03045

80.29717

105.00882

39.91397

178.55840

3.14907

3.10177

111.49899

2.10845

29.70816

29.61697

30.20866

39.62092

?19.73217

107.07115

105.25050

106.29486

7.58789

7.09406

_3.04123

3.03199"

3.08611

20.79883

~ 20.40824

20.53657

__ 2.55247

2.5V122

2.65394

2768

2768

2768

2768

276P

2768

2768

2768

2768

2768

2768

2760

2768

2768

2768

2768

2768

2768

2763

2768

2768

2769

2769

2768

2768

2768

2768

2768

2768

2769

2768

2768

2768

2768

2768

2768

2768

2768

2768

2769

2768

27<-9

2768

2768

2768

2768

2768

2768

2768

2768

2766

2768

2768

2768

2768

2768

2768

A.70
LO

0»>0) -(-

>

OC (0o.

cO 4-

>

•i- .c

•»-> o>

o -r-

0» i— S- U_

•r—O O+J •o

n 1 j i

(6sp)

o- CM

<1> Ol al

•!-> = 2 •O -r- 3 O I— o

10

CLi

.3O<oo»

oI

en

0) •oO) -o

O 3 I— +J I -r- LO

CO _ o00

ooo

OOO00

ooo

r^.

oooVO

oooLO

10en

(t3S- oLD£3cn

A.71
O

O

a

3

Ol

-o

c

(O

l/>

O)

O i—

o

O> 3

> a:

</) ID

O T-

(/) Lli- to

o <u

+J O

l/l C

•r- <U

_C 5-

O)

OJ MCO

LT>

O)

3

O O O D O

CM —• —• CM

I I (s/ui)

o o a o o

CM —i —i CM

i i

A.72
TABLE A.15. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 11.

I. Mean Airspeed (m/s)

106.2 105.1 106.9

n. Standard Deviation of

Gust Velocities (m/s)

a

WXL

3.88

a

wxc

3.80 3.87

a

WYL

3.28

a

w.YC

3.38

<7

WYR

3.25

III. Standard Deviation

of Gust Velocity

Differences (m/s)

AVXCL

1.23

1.26

1.19

HCL XRC

1.28

1.35

^RL

1.54

1.36

TMZRC ^ZRL

1.53

(7

WZL

3.45

a

w

zc

3.39

a

WZR

3.44

IV. Integral Length Scale (m).

612

908

xc

645

896

c

1006 1161

622

\C \R

924

827

A. 73
i r

W

i r i i |1 I 1 T

N

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.59. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 11.

A. 74
e

0)

<u

o

c

o

o

u

o

1.

0.

-1.

-1.

0.

WYL

WZR

Wzc

NZL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.60. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 11.

A.75
1.

0.

-1.

WXRC

WXCL

.au

iS0)

o

c

o

a

I

o

i

o

I

o

-1.

0.

-4= J

WXRL

WYCL

NYRL

WZRC

WZCL

WZRL

1000. 2000. 3000.

Spatial Lag ,S = VT(m)

1000.

Figure A.61. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 11.

A.76
10s

10°

10-'r

von Karman

N= 512

SEC.= 5

—von Karman

N= 512

von Karman

N= 512

.= 5

von Karman

N= 512

5EC.= 5

—von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

T— von-Karman

N= 512

SEG.= 5

10

,-8

10° ID'8 10°

/c = w/V (m

10°

Figure A.62. Normalized auto-spectra of gust velocities, Flight 6, Run 11

A.77
io2

10*

6"

b~ 10°

* 1Q-*

10s

tr

b~ 10°

U= 512

SEG.= 5

N= 512

SEG.= 5

N= 512

SEC.= 5

wzcu

N= 512

SEG.= 5

WXRC

N= 512

SEC.= 5

WYRC

N= 512

SEG.= 5

N= 512

+ SEG.= 5

WXRL

II.Mll

N= 512

SEG.= 5

WYRL

N= 512

SEG.= 5

WZRL

1Q-2 10° 1(T8 10°

K = u/V (m

10

,-B 10°

Figure A.63. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 11.

A.78
w w w w w

ioz

10° io~8

 10°

K = u/V (in"1)

10°

Figure A.64. Two-point cross-spectra of gust velocities, Flight 6, Run 11

A.79
ORIGINAL PAGE IS

OF POOR QUALITY

o>

>

0)

<o

a.

4J O>

^J *r"

S- LL.

•c—

Q O

-o

I I

CM ^~."0

0t 0 I- C

y\ Q o

• o ">

•a- in

i— .. CTi

CM co

O) Ol fO

•M E 1-

<O -r- 3

Q I— O

cn

O

O

o

o

o

o

CO

I I

(6ap)

L.

O

4->

C

o

o

10

i.

V

o

o

o

no

o

o

o

I

o

• <u

Lft T3

O 3

f— *->

I -r~

C7>

-|

i

CO

00

vo

0)

O

O

O

CM

Oi

C71

1-

o

IT)

UD

CD

cn

A.80
o

M

CJ

>-

i i ^r* t

>-

2

0

1 '•

I I I I

V rx . . V-.

ce.

X

i i ii

o

o

o

00

s

o

CM

O

CM

O

O

O O

oo a>

w

o

(o a>

o

(VJ

o

CM

o

o

o

CO

o

CO

o

(SI

i i i

O O D O O

(M »-i •-« CM

(s/ui)

a a a o o

cxj —• —•< csj

i i

o

o

co

3

a>

-o

c

to

10

OJ

•i- CM

o .—o

i— C

<U 3

> a:

14- cn

o -^

00 Ll_

O)

•r" •»

1- co

o a>

-i-> o

CO C

O)

10

O)

3

A.81
TABLE A.16. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 12.

I. Mean Airspeed (m/s)

R

107.8 106.7 108.6

El. Standard Deviation of

Gust Velocities (m/s)

a

WXL

2.39

w

xc

2.29

WXR

2.35

a

WYL

1.54

a

wYC

1.66

WYR

1.64

III. Standard Deviation

of Gust Velocity

Differences (m/s)

a

WZL

2.15

CT

W.zc

2.03

CT

WZR

2.09

A

\CL

0.77

0.76

0.85

0.71

0.79

0.86

0.89

HCL XRC XRL

0.82

0.93

IV. Integral Length Scale (m).

379

\.

324

\

359

290

367

\H

291

ZL

375 392 334

A.82
1.0 iii|ii r

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.67. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 12.

A.83
c

v

'3

<u

o

o

c

o

o

u

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.68. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 12.

A. 84
a> -1-4

w

«««-!

a>

o

o

c

o

3

—13

I

o

c.(-I

o

PL,

1.

0.

-1.

 L

1.

 L

-1.

0.

J L_

WXRC

j i _ __ i i i

WZCL

-jTi-. J_ _i_==

WZRL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

^000.

Figure A.69. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 12.

A.85
102

 r\.

10°

10-'

von Karman

N= 512

SEG,= 3

—von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

limg t I

Wxc

von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

iltiil I itiiinl i i i itnil i iiiim

-—von Karman

N- 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

,,.J I i IMIMI! i ..null

10' 10° 10~a 10°

K = w/V (m

ID'

8

10°

Figure A.70. Normalized auto-spectra of gust velocities, Flight 6, Run 12

A.86
103

 r

b~"

6"

 10°

\

3)

* 10-8

108

«• 10-*

io2

tr*

tr

 10°

N= 512

SEG.= 3

WXCL

4*

•v

N= 512

SEG.= 3

WYCL

r +

r

N= 512

SEG.= 3

N= 512

SEG.= 3

WXRC

N= 512

SEG.= 3

WYRC

N= 512

SEG.= 3

IRC

x

N= 512

SEG.= 3

XRL

Y+

N= 512

SEG.= 3

N= 512

SEG.= 3

10

-2

10° 1(T8 10°

tc = u/V (nr1)

10,-3 10°

Finure A.71. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 12.

A.87
—LL

—-LC

—LR

•6-

^.

•e-'

W Y W Z

kr \

—LL

—-LC

—LR

~ i i ii mil i it mm i i nnjij i i null

rr

rf \

if V

rr

—CL

—-cc

CR

1

 ...... ,,l , ,,,»„! , ,1,1,1,1 ,M,,,J

to

rf

rr

10-* 10° ID'2

 10°

/c = u/V (

-,,,,,,ni , ,,,,J .in,,.! ;

10~z 10°

Figure A.72. Two-point cross-spectra of gust velocities, Flight 6, Run 12,

A.88
ORIGINAL PAGE IS

OF POOR QUALITY

TABLE A.17. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 12.

START TIME • 51170.2*72 _.. . $TO?_T!M. •.„. «I_69*6_V7?

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DCT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

<J PSI 2

10 DEL PSI 2

11 ACC L N LT

12 ACC L N RT

13 ACC L X CC

1* ACC L Y CG

15 ALPH A CTR

16 BETA CTR

17 TEMP I

18 TEMP P

19 ACC L Z INS

23 ALPH A RT

21 BETA RT

2? ALPHA LT

23 BET A LT

24 PSI DOT

25 TEfP TOT

26 OC LT

27 OC CTR

?6 OC RT

29 PS

30 TEMP IRT

31 0 TO G

32 B TO D

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

39 VN

39 ALTITUDE

<>0 TEKPC

41 E« WHO SPO

4? NS UNO SPO

4 3 WIND SPtE O

44 U1KD OIOE C

«.^ A1PSPUD »

>' Alfr'PFI O C

47 AIRSPEED L

4° DELTA ALT

49 INRTL OISP

50 UG

 BIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

5^ UG PIGHT

57 UG CENTER

59 UG LEFT

UNITS

RAO/SEC

G UNITS

RAD/SEC

R AO

RAO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

CUNITS

G UNITS

RAO

RAO

DEG f

DEC F

G UNITS

R AO

RAD

RAD

RAD

PAD/SEC

DFG C

PSIO

PSIO

PSID

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIAN S

M/SEC

(i/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

CtGPEES

f/SIC

P/SE C

M/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.062

-.986

.052

.111

.029

184.413

2.434

542.058

2.315

1.988

2.086

.124

.134

.036

.045

101.862

"".._ 90.366

1.491

.047

.076

.048

.030

.043

31.765

LOW MEAN

-.064 -.00304

-.988 -.98774

-.049 .00643

.027 .07646

-.080 -.02127

"" 180.186 182.08173

-1.357 .30705

538.185 540.07757

-1.449 .20428

.205 1.00470

-.068 1.01963

.040 .07911

-.136

-.051

-.070

101.322

90*186

.624

-.046

-.035

-.042

-.083

-.029

30.997

.941 .714

.892 .705

.936 .726

11.396 11.359

25.348 16.001

8744668.1098743795.162'

80.298 80.291

-104,994 -104.996

39.844 39.805

182.591 180.650

3.226 3.158

-1.324 -5.014

-109.937

2.120

26.277

16.929

4.991

20.73B

359.647

117.021

114.310

117.359

1.514

• U4

4.933

4.404

4.964

5.318

4.932

4.767

8.691

7.148

7.106

-112.440

2.094

24.999

-2.010

-17.820

1.120

.430

103.546

102.120

102.760

-24.648

-21.096

-8.176

-7.584

-9.725

-4.563

-5.004

-5.158

-4.551

-4.181

-5.088

.00923

-.00894

-.01826

101.59499

90.36268

.99910

-.00128

.01687

.00222

-.02533

.00219

31.39238

.78944

.77305

.80176

11.37760

23.70841

*********** 80.29431

-104.99495

39.82446

181.62804

3.1B847

-3.21335

-111.30852

2.10687

25.72662

7.26860

-9.50517

12.73116

313.47283

108.S8302

106.66622

107.76448

-11.37162

-10.43838

.00000

.00000

.00000

-.02033

-.02132

-.02629

.02515

.02639

' .02826

RMS

.02231

.98774

,01473

.07947

.03112

182.08485

1.09754

__540. 07857

1.07351

. 1.03125

1.04544

.08064

.04338

.01590

,02791

101.59505

90.36268

1.00669

.01573

.02550

.01432

.03180

.01576

31.39290

.79040

.77393

.80270

11.37761

23.78185

***********

80.29431

104.99495

39.82446

181.62681

3.18853

3.37586

111.30990

2.10688

25.72826

7.96615

10.49829

13.17653

316.98033

108.61235

106.6<Jf06

107.79463

13.44466

12.72263

2.37432

2.31523

2.41943

1.64573

1.66057

1.53378

2.06389

2.02024

2.14503

_POINTS

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

.___.! 5 76

.... 1576

1576

. .1576

... . 1576

1576

1576

1576

1576

1576

J576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

1576

__ 1576

1576

1576

1576

1576

1576

1576

1576

1576

A.89
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(J v 0> •— s_ u- •^o o -a **

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(fop)

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A.90
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A.91
TABLE A.18. Average Turbulence Parameters and Integral Length Scales,

I. Mean Airspeed (m/s)

112.1 110.9 112.8

III. Standard Deviation

of Gust Velocity

Differences (m/s)

0.59

0.56

^

0.65

0.60

0.57

ZRC

0.68

RL

0.76

0.62

^

¥

ZRL

0.77

El. Standard Deviation of

Gust Velocities (m/s)

a

WXL

4.69

cr

WYL

2.31

a

WZL

2.25

V. Integral

a

V

4.62

a

WYC

2.37

a

w

zc

2.22

Length

a

WXR

4.75

a

WYR

2.37

a

WZR

2.36

Scale (m)

\L \C \R

1275 1270 1300

2562 2448 2516

1697 1631 1539

A.92
0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.75. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 13.

A.93
c

«J

'o

4)

O

U

d

o

I

<u

JM

I*

O

u

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.76. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 13.

A.94
ti

0)

a)

o

O

C

o

o

I

D-,

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.77. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 13.

A.95
10* r

\

I

10"

10-

von Karman

N=1024

SEG.= 5

von Karman

N=1024

SEG.= 5

von Karman

N=1024

SEG.= 5

von Karman

N=1024

SEG.= 5

Wv

von Karman

N=1024

SEG.= 5

von Karman

N=1024

SEG.= 5

W,

, i.,,,,1

—von Karman

N=102<3

SEG.= 5

Wv

10

-2 10° io-a

 10°

K = u/V (m-1)

io810°

Figure A.78. Normalized auto-spectra of gust velocities, Flight 6, Run 13.

A.96
103

 -

•e« jQ-8

10*

•e- 10-8

108

- 10°

«< 10-«

SEG.= 5

WXCL

i i mud

N=1024

SEG.= 5 e * SEG.= 5

WYRC

N=1024

SEG.= 5

N-W24

SEG.= 5

WXRC

SEG.= 5

,J , , ,,,,,J

SEG.= 5

.

* SEG.= 5

WYR

-

i i ntnl

N=1024

SEG.= 5

i mini

10

-8

10°

K =

10°

u/V (or1)

ic

z

10°

Figure A.79. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 13.

A.97
<&>'

•6.

".„ 10° •7

10-z 10° 10~a 10°

K = «/V (

10~B 10°

Figure A.80. Two-point cross-spectra of gust velocities, Flight 6, Run 13.

A.98
TABLE A.20. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 13.

START TIME • 51266*3674 STOP TINE • 91399*7674

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

P DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACC L N RT

J3 ACCI.X.C G

14 ACC L Y CG

13 ALPHA CTR

16 BETA CTR .

17 TEhP I

18 TEM P P

19 ACC L I INS,

20 ALPHA PT

21 BETA RT

2? ALPHA LT

23 BET A LT

24 PSI DOT

25 TEMP TOT

26 OC LT

27 OC CTR

28 OC RT

29 PS

30 TEMP IRT

31 D TO 5

3? 8 TO 0 .

33 LONG

3 4 LAT

35 TRK ANG

36 HOG

3 7 VE

31 V»4

3<> ALTITUDE

*o TEMPC

41 EH WHO SPO

*? NS WNO SPO

(.3 yl>-0 SPEE D

»<• hlf.C OISE C

0 AKSPEt D A

4ft AIRSPEE D C

47 AIRSPEED I

48 DELTA ALT

49 INRTL OISP

50 gc PIGHT

$1 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 WG RIGHT

57 WG CENTER

5 ? bG LEF T

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAD

RAD

DEGREES

DEGREES

OEGPEES

DEGREES

G UNITS

G UNITS

GUN ITS ,

G UNITS

PAD

PAD

DEG F

OEG F

G UNITS

RAD

RAD

RAD

RAD

RAO/SEC

CEG C

PS ID

PSIO

PSID

PSIA

OEG C

PETER S ......

DEGREES

OEGPEES

DEGREES

OEGFEES

RADIANS

f/SE C _

f/SK

KM

DEGREES C

KNOTS

i-NOTS

UNOTS

C(Gf>EE S

H/SEC

M/SFC

H/SEC

HETERS

METERS

M/SEC..

H/SEC

H/SEC

H/SEC

H/SEC

M/SEC

M/SEC

H/SEC

H/SEC

HIGH

.061

-.968

.058

.106

.071

9.700

3.727

367.443

3.463

1.825

1.796

.126

.223

.053

.099

100.603

90.545

1.593

.078

.098

.069

.032

.046

32.671

.. _ 1.109

1.076

1.127

11.385

24.219

8745955.564

80.285

-104.996

39.929

6.091

.179

._ 15.667

116.476

2.133

26.235

5.554

15.573

27.180

347.009

127.644

124.804

126.681

24.305

24.574

6.886

6.413

7.195

8.283

7.669

6.082

4.949

4.555

4.703

LOW

-.087

-.988

. . -.0*9

.005

-.077

3.719

-1.798

361.810

•2.066

.168

,346

-.018

-.222

-.074

-.077

100.063

90.366

.518

-.058

-.031

-.065

-.081

-.037

30.210

. .701

.690

.715

11.341

19.109

6741898.066'

80.272

-105.017

39.799

3.580

.079

6.923

107.057

2.101

23.063

-25.164

-16.280

.129

13.640

102.728

100.961

101.855

-6.894

-6.772

.._,_. -11.374

-11.113

-11.563

-8.162

-6.248

-8.545

-6.451

-6.104

-5.852

MEAN

-.00293

_ -.98774

.00569

.05467

-.00671

7.31598

1.64122

365.23699

1.37174

1.01087

1.02537

.05268

.00796

-.01541

-.02128

100.24713

___.90. 37968

1.00281

-.00536

....... .01344

-.00372

-.02718

.00353

._31. 40146,

.85912

.84123

.87114

11.3*876

22.20841

***********

80.27820

-105.00729

39.86359

6.55789

.14098

12.75865

111.10203

2.11312

25.25722

-9.97566

3.17713

13.62806

108.80332

112.64093

110.93788

112.08051

4.88784

6.62826

-.00000

-.00000

-.00000

-.OC061

.00564

.00358

-.01959

-.01256

-.01172

RMS

.02265

.98774

,01250

.05966

.02832

7.39399

1.94792

365.23845

1.72629

• 1.02268

1.03705

.05649

.05483

.02073

.02796

POIMI&

5176

....5176

5176

5176

5176

5176

5176

5176

5176

5176

5176

5176.

5176

5176

5176

100.24718 5176

90.37970 ._.. 51 76

l.t0067Q 5176

.01684 5176

.02130 5176

.01482 5176

_. 03181 5176

.... .01312 .. 5176

lit 4092.3 5176.

..... .86533 5176

.84729 5176

.87745 5176

11.36876 5176

22.23702 5176

******+**** 5176

80.27620 5176

105.00729 5176

39.86360 5176

6.65132 5176

.14226 5176

._ 12.92836 5176

111.12976 5176

2.11313 5176

25.27419 5176

10.88719 5176

9.71923 5176

14.59432 . 5176

116.25303 5176

113.0U89 5176

111.11001 5176

112.25469 5176

0. 96447 5176

10.74572 5176

4.79897 5176

4.66924

... 4,74315

2.36615

2.36909

2.30661

2.35893

2.21233

2.24696

5176

5176

5176

5176

5176

5176

5176

5176

A.99
ORIGINAL PAQE IS

OF POOR QUAJimr

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0.

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(J -itt) •—

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A.101
TABLE A.2V. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 14.

I. Mean Airspeed (m/s)

R

102.2 101.3 103.1

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC HRL

n. Standard Deviation of

Gust Velocities (m/s)

a

W

XL

0.95

a

W

YL

0.73

a

W

ZL

0.98

a

wxc

0.93

a

WYC

0.76

cr

wzc

0.87

a '

W

XR

0.91

a

W

YR

0.74

a

W

ZR

0.94

0.50

0.45

0.54

0.51

0.43

" e

0.51

0.60

0.47

0.61

IV. Integral Length Scale (m).

337

124

382

\c

373

\

105

c

198

339

125

186

A.102
I I I

w

0 5.-5. 0 5.-5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.83. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 14.

A.103
c

JJ

o

d

o

0)

su

(d

o

O

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.84. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 14.

A.104
1.

0.

-1.

 L

WXRC

WXCL

WXRL

u

0)

0)

o

o

c

o

y

a

I

o

I

tJ

c

•8

a.

i

o.

-i,

0.

.-"•••* I

WYRC

WYCI.

NYRL

WZRC

WZCL

WZRL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.85. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 14.

A.105
10*

10°

10

-1

10*

10°

iovon Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

von Karman

N= 512

SEG.= 1

—von Karman

N= 512

SEG.= 4

I

von Karman

N= 512

SEG.= 4

von Karman

N- 512

SEG.= 4

—von Karman

N= 512

_± SEG.= 4

—von Karman

N= 512

SEG.= 4

W,

MM! i I I mill i , ,,.,„' I .1 1 . , mJ , ii,mil I I i mill

10

-8

10° 10° 10~2

10°

u/V

Figure A.86. Normalized auto-spectra of gust velocities, Flight 6, Run 14.

A.106
10a

r 10°

10*

b~

 10°

^

108

N= 512

SEG.= 4

WXCL

N= 512

SEG.= 4

* WYCL

N= 512

SEG.= 4

*A

N= 512

SEG.= 4

XRC

,,,! i

N= 512

SEG.= 4

V

N= 512

SEG.= 4

n mil i i mutt i 11 mm

N= 512

SEG.= 4

"

, ,,,,,,,1 , ,,n,,il ,,l , . .....j

N= 512

SEG.= 4

wr(?L

N- 512

SEG.= 4

'*,

io~

8

10° ic

8

10° io~

8

10°

Figure A.87. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 14.

A.107
ORIGINAL PAGE IS

OF POOR QUALfTY

IO2

^

^.g,

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•a-'"1

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10*

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ir

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•

r

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r

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— -LC

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•~

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! V V nl

r ^ift

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~ i i iimJ i iiiiiJ i iiiiml ii MI ml

CL

— -CC

r — CR

2~ v^\

r

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.N VL

- \ v/\ TI

•- V N**i \j

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r Vi

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r

~ i i inttJ i HiinJ i i in ml i t ii mil

— RL

— -RC

i- — RR

V

s

!

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r

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-\ MI

- AA/HI

r \\ty

r *n

r

ID'8 10°

r

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|-

r

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r

r

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—

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r

T

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—

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r

r

r

r

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r

:

r

r

r

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r

:

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r

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— -LC

r

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r ^-^L

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i "A^i i"

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r- >>^

r

i i mnJ i i mill i i HUM r i iitiiJ

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---- cc

r — CR

r \v

f

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•— V ' ( ^^

: vvty ^

r ^A

r fi

r

• , ,Mlllj , mlllj , ,lmj , lllnj

— RL

— -RC

r — RR

r V

-

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r C^\

r

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'' *

r

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?" r|

r~

Z

10~8 10°

K = u/V (m"1)

glf

r

r

-

r

r

—

=-

r"

r

r

j.

=

-

r

5-

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r

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=

r

r

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r

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r ^

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r — CR

I »

r v\

r *»/s

t iV

- \ "* ul

w- V\ V"l ^\

} ^ *"» M

r ' v >

r i

p

i iniml i i inml i i until i i iniJ

— RL

— -RC

g- RR

^ \

: ^^ V,

r

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r \'*<'V

r Vjj

r j

r

ID"8 10°

Figure A.88. Two-point cross-spectra of gust velocities, Flight 6, Run 14,

A.108
TABLE A.22, List of All Parameters Measured and Their Range of Values,

Flight 6, Run 14.

START TIME • 51534.6178

CHANNEL UNITS HIGH

2 PHI DOT RAD/SEC

3 ACCL N CG G UNITS

4 THETA DOT RAD/SEC

5 THETA RAD

6 PHI RAD

7 PSI 1 DEGREES

a DEL PSI i

9 PSI 2

10 DEL PSI 2

11 ACCL N IT '

12 ACCL N RT

13 ACCL X CG ~~

14 ACCL Y CG

15 ALPHA CTR

16 BET A CTR

17 TEMP I

18 TEKP P

19 ACCL I INS

20 ALPHA RT

21 BETA RT

22 ALPH A LT

23 BET A LT

2<. PSI DOT

25 TEMP TCT__

2b OC LT

27 OC CTR

28 QC RT

29 PS

30 TEMP IRT

31 D TO G

32 B TO 6

33 LONG

3*. LAT

35 TRK ANG

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEPPC

41 EW WNO SPO

42 NS VNO SPO

43 hIKO SPEED

<•<• WU.O CIPEC

•• '• » 1 > S P E E 0 R

•>•• AlUPFf O C

47 AIRSPEED L

48 DELTA ALT

49 INRTL OISP

50 UG RIGHT

51 UG CENTER

5? UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 WG RIGHT

57 WG CENTER

55 WG LEFT

OFGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

DEG F

DEG F

G UNITS

R AD

R AD

R AO

R AD

frAO/SEC

DcG C

PSID

PSID

PSIO

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

OEGffES

r./SEC

M/Sf C

M/SEC

METERS

PETERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

P/SEC

M/SEC

.038

-.988

.037

.093

.029

341.859

3.022

340.336

2.875

1.442

1.525

.129

.176

.029

.021

100.243

90.545

1.265

.048

.053

.049

.010

.025

28.733

STOP TIHE • 51587,6178

LOW MEAN RMS POINTS

-.044

-.988

-.016

.050

-.034

337.280

-1.240

336.111

-1.390

.579

.461

.040

-.161

-.023

-.051

100.063

90.366

.771

-.011

-.004

. -.012

-.054

-.016

27.748

-.00240

-.9877*

.00547

.07118

.00342

_JI?.92446

1.23042

338,66490

1.09608

1.0C474

1.01802

.08510

.00910

.00089

-.01563

100.19237

90.48423

.9*881

.01730

.02038

,02040

-.02270

.00406

__28. 17497

.01363

.98774

.00916

.07212

.01369

339.92567

1.51986

338.66606

1.41220

1.01191

1.02518

.06660

.05854

.00615

.01686

100.19241

90.48426

1.00065

.01960

.02255

,02227

.02465

.00789

26.17560

.745 .626 .70134 .70184

.729 .621 .66808 .68656

.766 .642 .71302 .71351

11.176 11.145 11.15970 11.15970

17.860 12.776 16.23253 16.29063

8741039. 7708739566. 976******* ***************

"80.197 "60.171 80. 1B422 " 80.18422

-105.079 -105.106 -105.09224 105.09224

40.071 40.029 40.04956 40.04958

335.652 331.598 333.41964 333.42120

5.966 5.689 5.93368 5.93371

-40.846 -44.205 -43.02968 43.03556

90.419

2.272

23.359

-14.471

-13.781

32.317

58.620

106.619

104.176

105.328

22.466

20.888

2.809

2.770

2.884

2.155

2.244

2.100

2.149

2.011

2.941

81.064

2.249

22.614

-24,839

-23.103

22.620

36.589

97.833

96.256

96.660

-1.191

0.000

-2.225

-2.218

-2.636

-2.902

-3.218

-2.865

-3.062

-2.893

-3.532

86.13058

2.26196

23.06600

-19.14337

-18.55176

26.72617

45.91237

103.06016

101.2P034

102.23043

12.06542

12.10621

-.00000

-.00000

-.00000

-.02446

-.02421

-.02372

,01042

.01233

.01246

86.16735

2.26196

23.06814

19,21208

18.63525

26.76521

46.09625

103.07799

101.29795

102.24853

13.35872

13.51076

.93557

.94757

.96699

.73694

.76331

.73156

,93544

.86537

.97105

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

2120

.2120

2120

2120

A.109
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ORIGINAL PAGE [S

OF POOR QUALITY

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A.Ill
TABLE A.23. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 15.

I. Mean Airspeed (m/s)

V.

101.5 100.5 102.4

H. Standard Deviation of

Gust Velocities (m/s)

Q

WXL

1.23

(7

W.

xc

1. 14

(7

WXR

1.17

a

WYL

1.87

a

w.YC

1.86

CT

WYR

1.85

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

CT

WZL

0.91

w

zc

0.94 0.98

0.55

0.49

0.54

0.47

0.52 0.45

0.70

0.53

HRC XRL

0.56

IV. Integral Length Scale (m).

480 500 505

V \C \R

1824 1757 1733

ZL

675

ZC

694 712

A.112
1.0 i i i i | i i i r

w

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.91. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 15.

A.113
s

o

I

o

u

§

<u

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.92. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 15.

A.114
e

0)

0)

o

o

c

o

Eo

u

I

o

g

'S

a.

o

EI I I .

1000. 2000. 3000.

Spatial Lag .S=VT(m)

Figure A.93. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 15.

A.115
I

10a ,

10°

l(Tsr

10*

10°

10-V

—von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

i i iiiiil t i t null i I I null I I tilII

•von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

Wy

—von Karman

N= 512

SEG.= 5

.von Karman

N= 512

SEG.= 5

fee

von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

I i i null i i i Mini i i i mill I I I HUB

—von Karman

N= 512

SEG.= 5

10" 10° 10~z

 10°

K = oi/V (m

10~8 10°

Figure A.94. Normalized auto-spectra of gust velocities, Flight 6, Run 15.

A.116
•e- 10-z

io2

N= 512

SEG.= 5

WXCL

<*»

I 1 1 mil

N= 512

SEG.= 5

F +

b

\

*

10

-a

IO2

r 10°

WYCL

N= 512

SEG.=5

10-2

N= 512

SEG.= 5

XRC

iil tit t mil i i i mtil

N= 512

SEG.= 5

M- 512

SEG.= 5

N= 512

SEG.= 5

N= 512

5EG.= 5

WYRL

i i,mil

N= 512

SEG.= 5

WZRL

10

-8

10°

K = cj/V

10° 10" 10°

Figure A.95. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 15.

A.117
ORIGINAL PAGE IS

OP POOR QUAiJTY

IO2

s

.'°- •e10-*

IO2

•c> mO10

«p^

•eio-8

10Z

^•^x

1?

^•a-

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•e.""

io-8

r

r

—3

r

i

r

r

r

-

•

•

r

-

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

:

r

r

r

r

r

r

r

:

r

r

r

[

w

x

w

z

— LL

— -LC

r — LR

r V.

r \*\v

r \\\

r N$

rr ^

i miitJ i tnitJ i iniwl i in mil

CL

— -cc

r

 — CR

f V,

•_ 1 ^L

f

 \"\\

r ^\

r >^

r

:

.I.,..J IIM.J ,,„«! , ,,,J

— RL

— -RC

r — RR

r \

• \ ^A*

r XN

 \

r \\\

n:

,,,,,,J ,.,,.j . M,,mt . ,,,UJ

io-2 10°

r

r

r

r

5-

r

r

r

r

r

r

:

r

r

3

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

^

r

r

\

r

•

r

r

r

:

r

r

W

X

W

Y

— LL

— - LC

r — LR

r v/-\

T \>v-'\

~ » <\ W^

r S'ijy

r VS

r N

r

i i mnJ i i iiniJ i niiiiJ i i nniJ

CL

— -CC

r \ ~~

CR

\ ,N-v

r \^-V

r

 V

: " -;A \i •

r SS

r w

:

,,,,,»; ,,,,,,j j , ,i,.j

RL

— - RC

r — RR

r ,V.

I * <^.

r \-v\

i_ \ ''*, T\I

r ~v. ". J

f ^

i IIIIDI i luiin i i iititJ t niitJ

io-8 10°

r

r

p

r

r

r

r

1-

r

r

:

r

r

r

r

r

r

r

-

r

r

r

Br

r

rf

r

r

r

r

r

-

r

rr

^

r

r

r

^

r

r

r

r

w Y wz

— LL

— -LC

r — LR

r ,\A,

f v'»-v\

r V^''V\

r \>

f N =^

i mum i i mini i > mml i i miJ

— CL

— -cc

r — CR

r \A

r

 v L r \'-'\\

i"

 VV^*\ '*43t f

r ^

:

i iiuml , ,.,,ml , nmirl n 1

— RL

— -RC

r — RR

r \A

" * VI

r \^'\\

\ V Tji

r

: A \^^ W. 7ii 1

f

r

:

,,,,

 ^ J J , ,,u.l , ,,n,J

io-B 10°

K = U/V (TCI-1)

Figure A.96. Two-point cross-spectra of gust velocities, Flight 6, Run 15.

A.118
TABLE A.24.

ORIGINAL PAGE »S

OF POOR QUALTTY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 15.

START

CHANNEL

? PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

0 DEL PSI 1

9 PSI 2

10 DEL PSI I "

11 ACCL N LT

12 ACCL N RT

13 ACCL X C6

14 ACCL Y CG

15 ALPHA CTR

16 BeTA CTR

17 TEMP I

18 TEPP P

19 ACCl 7 INS

20 ALPHA RT

21 BETA RT

2? ALPHA LT

23 BETA LT

24 PSI DOT

25 TEHP TOT

26 OC LT

27 OC CTR

23 OC RT

29 PS

3C TEPP IRT

31 C TO G

32 B TO 0

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

39 VN

39 ALTITUDE

40 TEWPC

*1 EU WNO SPO

*? NS WND SPO

Hi aisj SPIED

-" «INP OIPEC

<•«> » USPEtO R

•••. AIRSPEE D c

47 AIRSPEED L

43 DELTA ALT

49 INRTL DISP

50 UG RIGHT

"51 UG CENTER

52 UG LEFT

53 VG PIGHT

54 VG CENTER

55 VG LEFT

56 4G RIGHT

57 UG CENTER

5C WG LEFT

TIME • 52083.3269

UNITS HIGH

RAD/SEC

G UNITS

RAO/SEC

PAD

RAD

DEGREES

DECREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS

G UNITS

R AD

PAD

DEC F

DEG F

G UNITS

RAD

RAD

RAD

RAO

RAD/SEC

DEG C

PSID

PSID

PSID

PSIA

DEG C

MfTERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SFC

M/SEC

KM

DEGREES

KNOTS

KNOTS

KNOTS

CfcGPEES

M/SLC

M/SEC

H/SEC

METERS

METERS

M/SEC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

.066

-.986

.040

.079

.145

115.376

1.582

477.633

1.256

1.810

1.806

.082

.210

.019

.025

99.343

90.545

1.200

.041

.056

'....'.' .035

.016

.025

28.733

STOP TIME • 52156.6289

LOW MEAN RMS POINTS

-.044

-.988

-.037

-.019

-.051

109.036

-4.560

471.649

~~-4. 830

.236

.235

.023

-.189

-.034

-.050

98.984

90.366

.746

-.013

-.Oil

-.016

-.060

-.019

27.254

.742 .636

.725 .621

.771 .644

11.232 11.151

19.515 14.510

8T57459. 9558751773. 606'

80.356

-104.865

39.982

122.360

2.033

89.709

-47.120

2.266

C 23.724

.143

-8.888

26.096

359.382

106.900

103.777

105.023

3.363

3.985

2. BIB

3.204

4.216

3.679

3.399

3.439

4.976

4.070

4.298

80.299

-104.940

39.948

118.189

1.924

86.749

-55.610

2.210

22.139

-13.043

-25.176

10.126

.393

98. OF*

96.4CO

97.500

-54.520

-54.429

-3.368

-3.193

-3.730

-5.193

-4.696

-4.806

-2.863

-2.784

-2.655

-.00080

-.98774

.00520

.05756

-.01393

112.70519

-1.01255

475.05116

-1.30520

1.00479

1.01722

.05731

.00960

-.00299

-.01622

99.15933

90.37155

.99543

.01120

.01967

•01256

-.02227

.00291

JL8,17089

.69199

.67849

.70426

11.17185

17.04082

»*«*****+*«<

60.32786

-104.90291

39.96458

120.36620

1.98733

87.63211

-51.33699

2.25326

23.13803

-7.04303

-17.83465

19.32270

21.9983?

102.39877

100.54715

101.52052

-11.67177

-12.25759

-.00000

-.00000

-.00000

-.01988

-.02248

-.02406

-.01340

-.01361

-.01306

.01534

.98774

.00936

.06128

.03326

112.71181

1.58114

475.05266

1.77979

1.01487

1.02712

.05794

.07259

.00683

.02013

99.15934

90.37156

.99699

.01313

.02261

.01428

.02480

.00954

28.17255

.69241

.67888

.70466

11.17186

17.06934

***********

80.32787

104.90291

39.96458

120.37541

1.98745

67.63494

51.43156

2.25328

23.14119

7.36981

18.186P9

19.6233P

24.04324

102,41215

100.56036

101.53484

15.79434

16*72048

1,20347

1.20247

1.29620

1.79344

1.79292

1.79706

1.12933

1.05785

1.06971

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

.2.932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

293?

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

2932

A.119
ORIGINAL PAGE «

Of POOR

0)

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Of 4->

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4J a>

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(6ap)

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^S ^

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r— •• VO

o en

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+-> = s_

<a -i- 3

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A.120
o

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>-

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o

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o

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o

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o

CO

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(M

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0)

w

0)

(s/ui) paadg

O O O O O CM _i -< (M

I I

O)

••- 10

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r— C

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A.121
TABLE A.25. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 16.

I. Mean Airspeed (m/s)

R

107.0 105.9 107.8

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC

0.43

0.39

0.46

0.45

0.41

0.45

0.56

0.44

cr.TM cr...... cr.,,,

AWZCL AWZRC A¥ZRL

0.51

II. Standard Deviation of

Gust Velocities (m/s)

WXL

w

xc

3.41

cr

WYL

1.11

cr

WZL

1.20

3.39

CT

WYC

1.15

a

w

zc

1.17

3.39

cr

WYR

1.13

cr

WZR

1.19

IV. Integral Length Scale (m).

\.

640

1540 1535 1546

\c

637 697

1169 1237 1136

A.122
1.0

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.99. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 16.

A.123
!CJ

o

u

d

o

i

0)

I*

IH

O

U

I

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.100. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 16.

A.124
0)

o

o

c

.32

—

"oS

t

o

n

•s

IX

o

1.

0.

-1.

1. -

0.

1 L_

WXRC

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

WYCL

WYRL

WZRC

i _j

NZCL

i i i

WZRL

"3000.

Figure A.101. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 16.

A.125
10-'

10-

•von Karman

N= 512

SEG.= 7

[|J i iiiiiiJ i i t HIM! 4 t nun

von Karman

N= 512

SEG.= 7

null i t mini t i i iinii i iitu

•von Kantian

N= 512

SEG.= 7

Illlll 1 I iilllj

von Karman

N= 512

SEG.= 7

•von Karman

N= 512

SEG.= 7

•von Karman

N= 512

SEG.= 7

von Karman

N= 512

SEG.= 7

•von Karman

N= 512

S£G.= 7

1 i Illlltl I I Illllll II 111MB I I I Illtd

von Karman

N= 512

SEC.= 7

unl t i mm) i i ii mil i

10'8 10° 10~8 10°

K = 6J/V

NT810°

Figure A.102. Normalized auto-spectra of gust velocities, Flight 6, Run 16,

A.126
10*

eKo" 10°

S^

•» 10-8

10e

tiT

tr

 10°

^

10*

?ioo

%* 10-8

:

 N= 512

f SEG.= 7

f » WXCL

*

i"

- +*

: j*

r

I

' N= 512

f + SEG.= 7

r *4* WYCL

: V

r tm

:

r

" i ,..n«l , ,,.,i,j . , , I , ,i

i

1. N= 512

f SEG.= 7

r * ++ + WZCL

: <*%

r +*\

f

r

 S

r

10~8 10°

1

 N= 512

I SEG.= 7

j- * WXRC

r *****

'* *\

f-

•

:

 N= 512

f + SEG.= 7

r *** WYRC

= X

r

:

 V

 ?<*•

: A*.

r

- afi ^LK

^^b

: ^

r

~ . ,,,„„! ,1 , , J , ..,„„

1

 N= 512

f SEG.= 7

: + ^. f*l*

r V

r Ife

r

r

10~8 10°

L N= 512

I SEG.= 7

f + WXRL

r

 +v+

r

 \

r

= N= 512

f * SEG.= 7

\

-

;

t i unfit i i mint i i iitnil i i iiiuif

:

 N= 512

[ SEG.= 7

r

 +*t

 ++ WZRL

r -^

f H

r

r

10~8 10°

K = u/V

Figure A.103. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 16.

A.127
OF POOR QUAUFY

10- 10°

^ f HIMl I tlfft* ' IfJIff llllllJ

10'* 10° 10°

u/V

Figure A.104. Two-point cross-spectra of gust velocities, Flight 6, Run 16.

A.128
POOR QUALTHf

TABLE A.26. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 16.

START

. ..CHANNEL

2 PHI DOT

3 ACC L N CG

4 THETA DOT

5 THETA

6 PHI

. 7 PSI I . ._

9 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACC L N IT

1? ACCL. N RT

13 ACC L X CG ..

14 ACC L Y CG ....

15 ALPH A CTR.

16 BETA CTR

17 TEHP I

l

a

 TEHP P

I* ACC L Z INS.

2C ALPH A RT

21 BETA RT

22 ALPHA LT

23 BtT A LT

24 PSI DOT

?•> TFHP..TCT

2<> QC LT

27 OC CTR

2* OC RT

23 PS

30 TEHP IP I.

3 1.0. JO... 6

32 B TO 0 _.

31 LOKG

3* LAT

25 TRK ANG .

3i HOG . .

3 7 VE

3 3 V M

39 ALTITUDE

40 TEMP C

41 E U UNO SPD

4? KS *ND SPD

<O Wl" 0 SPEE D

<•'. wlr.3 Oil-EC

- -•. « I P «; P E t c R

• » i » '. P !• E O C

47 AIRSPEED I

48 DELTA ALT

49 fNKTL CISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

5 3 VG RIGHT

5 4 VG CENTE R

55 VG LEFT

56 VG RIGHT

! .•• VG CFSTE R

•is WG I EFT

TIME • 52203*3041

UNITS HIGH .

PAD/SEC .062

G UNITS -.986

PAD/SEC .033

PAD .106

RAD .028

DEGREES 174,902

DEGREES 1.934

DEGREES S33.250

DEGREES 1.727

G UNITS 1.597

G UNITS 1.688

GUN ITS

. G UNITS

.PA D

RAD

DEC F

OEG F

G UNITS ..

R AD

PAD

RAD

R AO

RAO/SE C

DEC C

PS ID

PSID

PSIO

PSI A

DEG C

HETERS

DEGREES

DEGREES ....

. DEGREES ...

DEGREES

.RADIAN S

M/SEC

H/SK

KH

DEGREES C

KNOTS

KNOTS

KNOTS

OEGCEE S

H/SK

f/SK

H/SEC

HETERS

HETERS

H/SEC

M/SEC

H/SE C

H/SEC

H/SEC

M/StC

H/SE C

r/ssc

.073

.204

.022

.036

.._.. 99.523

90.945

1.261

.029

.062

.033

.031

.039

32.474

.889

.866

.899

11.404

23.636

_fllAfl552.358l

60.404

... -104.831

39.906

174.991

3.059

13,034

-90.396

2.121

26.701

10.672

17.633

n.ftfc

359,905

114.825

112.843

114.251

10.516

7.940

6,985

6.700

6.909

4.365

5.061

5.166

5.15t>

4.873

5.266

STOP TIN

LOW ...

-.052

-.988

-.021

.016

-.070

. 171.387

-1.387

529.736

-1,566

.516

.465

-.007

_ _ -.176

-.041

-.069

99.163

. 90.366

.....744

-.036

-.027

-.032

-.069

-.033

30.603

.. . .631

.619

.643

11.356

14.939

I2U9.33.00S4.

00.379

-104.843

39.620

172.795

2,998

_ 6.642

-109,876

2.066

25.626

-6.632

-5.156

.147

.190

97.684

95.P3 7

96.762

-22.049

-20.092

-5.140

-5.096

-5.446

-3.313

-3.616

-3.432

-3.531

-3.152

-3.236

t • 52Z99.5291

MEAN RMS

-.00304 .01444

-.98774 .98774

.00592 .00997

.05495 .05628

-.00828 .01937

_173.36213_1T3. 36399

.40296 .88380

531.58282 J.3.1. 58337

.21066 .81041

1.00992 - 1.01734

... 1.02359 1.03089

.03508 .03741

.00714

-.01249

-.02149

99.44343

90.36937

1.00060

-,00372

.01386

-.00359

-.02747

.00349

....11.8361.1,

. .77804

.76070

.78948

.... 11.36102

22.54041

'*.*******»*«

80.39196

-104.83714

39.66246

174.04490

3.03136

10.62C68

-101.46122

2.10446

26.25128

2.44573

7.71576

... 9.64661

217.4053?

107. 79592

105.6572 2

107.02757

-5.98500

-6.92817

-.00000

-.00000

-.00000

-.03762

-.03586

-.03287

.02143

.02405

' .02452

.04786

.01577

.02444

- 99.44346

. 90,36936

1,00286

.01131

.01730

... .01094

.02952

,01004

31,83876.

.78035

.76292

.79177

11.38102

22.57985

1*1*********

80.39196

104,83714

39,86247

174.04618

3.03139

10.68262

101.61652

2,10447

26.25204

3.2R767

10.05797

.10,5616 7

224.79726

107.6711?

107*. 10424

8.72594

9.30952

3.32752

3.33086

3.34381

1.10860

1.11995

1.08356

1.16558

1.15043

1.17514

POINTS

3849

3849

3849

3849

3849

3849

3849

3849

., 3849

3849

3B49

3849

..384 9

3849

3849

... 3849

3849

3849

3849

3849

3849

3949

3649

3849

... 3849

3849

3849

3849

3649

3849

3649

3849

. 3849

_. 3849

...3649

3849

3849

3649

3849

3849

.... 3849

3849

38*9

3849

3849

3849

3849

3849

3849

3849

3849

3849

3849

A.129
<

u>

-13

.

O) -(->

Qi «Q. O +J o ••- (U i— S- Ll_ Q O4J T3

cna)0) T3

C7) o

(/)

C\J^~ -D

00 t— C

O% O O

«tn i/>

«* oo

i— •• IT) ' r^.

(6ap)

— o

3 «3- ..

•-3 •— CO

O) Ol m

•M _E J_

Q £ Q

O

c_>

cn

oo

00

CO

CVI

ooo

ooo00

oooooo

ooin

•-. -.-/ SI t nr

-

£ '.-? i

x \rv'>.\ i

•5 IS

S

.fi

nprr

'»7*

if_ t _± _•

FT ",**-" ~ .^ , i'

:«** :»W

i r

j

i

f

'\lz'a r

,-•--:#•.<

rx,^<

/

-.i-.^A!

»«j

if ^i,

i^-v—./ -j.-'<' '•

Wf

'^r»^•

:

!(

u,

i,l> ^^Ti

l

'•iiwlf'

:<»J

V

-V...

' i

II7I _ •

''(".

#•

,^-

~n

'/«5

^vy

!Zoiao

>+- C(OCL -CO) unoecs_

A.130
o

o

dl

>

in

3

O>

TJ

C

to

to

•i- r-.

O ro

i— C

O) 3

> cc

•+- o>

O -r-

(/> U_

OJ

*^~ *«

S- 10

o <u

4-> O

t/1 C

•r- <U

JZ S-

(1)

10

o

CD

O O O O O

(M —i —• (\J

I I (S/CU)

o o o o o

CM —i -^ (M

I I

A.131
TABLE A.27. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 17.

I. Mean Airspeed (m/s)

V

L

97.9

v

c

9.8

VR

98.5

II. Standard Deviation of

Gust Velocities (m/s)

cr

WXL

3.81

a

WYL

1.61

a

w.

xc

3.75

a

w.

1.77

WXR

3.75

cr

1.77

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

a

WZL

3.11

a

w

zc

3.31

WZR

3.30

1.17

1.21

1.26

1.32

1.15

XCL XRC XRL

1.11

IV. Integral Length Scale (m).

261

\c

251 250

1.48 1.17 1.50

L

2208 2138 2192

216

c

277 261

A.132
1.0

0.8

,£>

2 0.4

a.

0.2

0.0

i i i i

Center

Left

i i i i i i i i r

w

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.107. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 17.

A.133
0

d

o

(M

0

CJ

I

I I I 1 I I 1

1000. 2000, 3000.

Spatial Lag ,S=VT(m)

WOO,

Figure A,108. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 17.

A.134
WXRC

0)

• l-l o

£0)

o

o

C

O

so

o

I

o

fi

•s

(X

I

o

Ei 1 J 1

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.109. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 17.

A.135
10*

10°

10-'r

10*

10°

10-

10-

—von Karman

N= 512

SEG.= 5

WXL

i i Mini i i i HUB i i HHIU ilium

—von Karman

N= 512

SEG.= 5

i i HIM i t i IHIB i i i nntl i

•von Karman

N= 512

SEG.= 5

—von Karman •

N= 512

SEG.= 5

Wy

UHH 1 I 11 Mill I 1 IIIMJ

—von Karman

N= 512

SEG.= 5

•von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

UlltJ I I HllUl 1 t I Unit I I Unit

—von Karman

N= 512

3EG.= 5

i i utml I I imm i ininn i i imtn

von Karman

N= 512

SEG.r 5

i iwl . I ii li ttn i i 11 tn4 i i 11 nnl

10-2 10° 10~2

 10°

K = <u/V (m'1)

10°

Figure A.110. Normalized auto-spectra of gust velocities, Flight 6, Run 17,

A.136
io8

 t- .

 N= 512

10-a

102

tT 10°

3^

*

 10-«

10*

10°

10-2

SEG.= 5

tiling | ilniiil I i^pmt

N= 512

SEO.= 5

WYCL

' ' ' IMIi i i i nun iii utiil i i i KI

N= 512

SEG.r 5

i i Una i i | mill

N= 512

SEG.= 5

WXRC

i iniiul I luitiil | | ^tiiin

N= 512

SEG.= 5

N= 512

SEC.: 5

ini 1 i II Mid | f jin lit

SEG.= 5

i i in ml i i ttini i itinnl

N= 512

SEG.= 5

I t I IHllI I I HI lilt I I Until I I Illllll

N= 512

SEG.r 5

mill i i IIIIM

1(T2 10° 1(T8 10°

K = w/V (m

1Q-6 10°

Figure A.m. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 17.

A.137
IN

^

•e.'

"^ 10

10

"._ 10

•6-

10

,-a :

10° 10~*

K =

10° 10,-8 10°

Figure A.112. Two-point cross-spectra of gust velocities, Flight 6, Run 17,

A.138
TABLE A.28.

ORIGINAL PAGE IS

OF POOR

List of All Parameters Measured and Their Range of Values,

Flight 6,:Run 17.

STAR T TIME • 52*74.7196 STOP TIME 525*9.3196

CHANNFL

2 PHI D3T

3 ACCL N CG

4 THET A DOT

5 THETA

6 PHI

7 PSI 1

6 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACC L N LT

12 ACC L N RT

13 ACC L X CG

14 ACC L Y CG

15 ALPH A CTR

16 BtT A CTR

17 TEM P I

18 TEhP P

19 ACC L Z INS

20 ALPH A RT

21 BETA RT

22 ALPH A LT

23 BETA LT

24 PSI DOT

25 TEH P TOT

26 OC LT

27 OC CTR

28 OC RT

2 9 PS

30 TEH P IRT

31 0 TO G

32 B TO D

33 LONG

3 4 LAT

35 TRK ANG

36 HOG

3 7 VE

33 VN

39 ALTITUD E

40 TgPP C

41 EU »NO SPO

4? NS bND SPO

O rilNO SPEE D

-4 V If.D DIRfc C

4} A IHPEt C R

46 AIRSPef D C

47 AIRSPEED L

*» DELTA ALT

*9 INPTL DISP

50_yG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

5 4 VG CENTE R

55 VG LEFT

56 VG RIGHT

5 7 W G CENTE R

5S tfG LEF T

UNITS

RAD/SE C

G UNITS

RAO/SEC

R AD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R AO

R A D

DEG F

DEG F

G UNITS

R AD

RAD

R AD

R AD

RAD/SEC

DEG C

PSIO

PSID

PSID

PSIA

DEG C

PFTER S

CEGREE S

DEGREES

DEGREE S

CEGREE S

RADIAN S

M/SE C .....

M/Sfc C

KM

DEGREE S C

KNOTS

KNOT S

KNOT S

OtGBEE S

M/SK

M/SEC

M/SEC

METERS

METER S

M/SEC

M/SEC

M/SEC

M/SE C

M/SE C

M/SEC

M/SK

M/SE C

M/SE C

HIGH

.209

-.986

.122

.17*

.07*

275.280

7.371

272.7*3

7,166

2,9*5

2.434

.231

.168

.132

.079

99.703

90.5*5

1.693

.152

.098

.123

.0**

.066

33.065

.627

.80*

.829

11.612

25.53*

LOW

-.217

-.986

-.113

.023

-.126

265.777

-1.857

263.590

-2.007

-1.779

-.775

.017

-.173

-.162

-.167

99.163

90.366

-.253

-.139

-.123

-.165

-.163

-.056

29.717

.508

.502

.512

11.46*

16.422

MEAN

-.00170

-.9877*

.00652

.06875

-.01293

RMS

.0*5*6

.9877*

.02*51

.09**7

.03573

270.7*801 270.75*25

3.08773

268.55558

2,89207

1.01073

1.02259

.06352

.00220

.00539

-.0317*

99.47933

90.37*27

1.00389

.01270

.00510

.01262

-.039**

.00*91

31.7*151

.65868

,6**57

.66707

11.59329

22.06122

3.59689

268.56166

3.*267*

1.08156

1.0879*

. .,08997,

.0*995

.02780

.0*5*5

99.*7937

90.37*28

1.02006

.03302

.03051

.031*1

.0*893

.02069

31.75509

.66230

.6*776

.67026

11.59329

22.15976

6757893.9908750806.508**********************

80.426

-10*. 817

39.757

272.482

4.812

_ -91.779

4.165

2.032

26.207

26.18P

12.P56

*3.674

359.962

109.707

107.757

109.538

61.851

20.372

6.629

8.301

6.6*7

9.882

10.185

9.66*

12.361

13.838

11.3*1

80.370

-10*. 902

39.755

267.132

4.646

-100,650

-*.8l*

1.942

25,182

-15.593

-41.3*9

.296

.291

86.526

85.7*2

86.239

-7.769

-6,076

-13.898

-13.9*2

-1*.650

-16,800

-17.67*

-16.259

-12.819

-12.9*0

-13.187

80.39767

-10*. 86002

39.75631

270.95910

*. 73520

-96,39310

1.65304

1.95573

27.06536

.39163

-6.92807

12.21*74

171.00709

98.46400

96.81699

97.859*6

5.55690

5.08689

-.00000

-.00000

.00000

,01*17

.01795

.03311

.02*33

.03258

.02656

80.39767

10*. 66003

39.75631

270.96365

*. 73532

_ 96,*3963.

3.11851

1.95575

27.07667

7.26085

13.4S640

15.2903*

210.5326*

98..57609

96.93120

97.980*1

9.55902

6.67669

3.8*998

3.6*131

3.89621

5.93950

5.9*000

5.6270*

3.*7526

3.*6751

3.5*615

PUIM15

298*

296*

298*

298*

298*

298*

298*

296*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

298*

• 298*

298*

298*

298*

2984

2964

298*

2964

298*

298*

298*

296*.

298*

296*

298*

298*

298*

_ 298*

298*

296*

A.139
10

r— -C

O) 4->

(X (QQ_

O +->

•i-* -e

-w o>

u ••-

0 O

c

•r*

oe

LT>

O

I

(U

x>

o

• <u

u-> -o

O 3

o>

c

o

I I

LO

o

CO

(6ap)

X> (- C W Q Q

•— s: o

>, ro

3 "sT ••

O ^- C

O

OJ OJ «3

4J E t.

(O ••- 3

Q t— Q

_ O

(O

Q.

So

4->

C

o

o

CO

LO

o o

o o

o o

O> CO

o

o

o

r^

o

o

o

o

o

o

ORIGINAL PAGE S3

OF POOR QUA*/TY

<\

 vrN

4 \ A.

^^5i "

1

 S^°

' ••**>*-.( A'

-. .^*

CO

c

O)

c

o

to

4-

o

f-

(O

QL

<C

SA.140
o

o

d>

cn

13

C

•r- CO

O r—

O

r— C O) 3

IX)

M- cn

O ••-

c/> LL.

0>

•r- •>

s- to

O Ol

+-> o

to c

•r- 01

J= 5-

01

O) 4-

e M-

• r-1 *r-

!— "O

O>

o o o o o (M .-. ^-i t\J

I I (S/UI) p38dg

A.141
TABLE A.29. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 18.

1. Mean Airspeed (m/s)

R

103.5 102.1 104. 1

U. Standard Deviation of

Gust Velocities (m/s)

CT

W.XL

4.40

W,XC

4.24

W.XR

4.09

a

w.YL

4.11

a

w.YC

4.21

a

w.YR

4.14

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC HRL

a

w,ZL

4.09

(7

W,

zc

4.16

a

w,ZR

4.25

1.45

1.52

1.46

XCL HRC

1.54

1.66 1.62

1.67

1.68

r

ZRC

 A¥ZRL

1.93

IV. Integral Length Scale (m).

XL

255

\L

WX

258 261

1198 1136 1155

L

WZR

428 520 425

A.142
1.0

0.8

,0

8 0.4

0.2

0.0

I i i r

Center

Left

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.115. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 18.

A.143
c

QJ

'o

<u

o

a

o

£

.2

"oJ

o

o

i

o

1.

0.

-1.

-1.

0.

Wxc

WXL

WYR

j i i

W YC

_i i i

WZL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

3000.

Figure A.116. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 18.

A.144
1.

0.

-1.

WXRC

WXCL

WXRL

0)

o

O

c

o

J5"5

I

o

NYRC

WYCL

WYRL

n

•s

&,

i

o

.1.

-1.

0.

I i

WZRC

WZCL

WZRL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.117. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 18.

A.145
10*

10°

10-'r

b

\

«

10*

10o

10-

10a

10°

von Karman

N= 512

SEG.= 3

Wy

—von Karman

N= 512

V+ SEG.= 3

WYL

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

Wy

,1,1 I I.MMll J

—von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

W,

von Karman

N= 512

SEG.= 3

Wy

mid

—-von Karman

N= 512

SEG.= 3

II.Mll

—von Karman

N= 512

SEG.= 3

10

,-2 10° ID'8

 10°

* = «/V (m

ID'

2

10°

Figure A.118. Normalized auto-spectra of gust velocities, Flight 6, Run 18.

A.146
10*

6-

10°

•e- 10-z

io2

tT

tT

'?

10*

- 10°

N= 512

SEG.= 3

WXCL

V

N= 512

SEG.= 3

WYCL

n inn i i i mill

N= 512

SEG.= 3

iiinin i t limit i iiiiint

N= 512

SEG.= 3

WXRC

N= 512

SEG.= 3

N= 512

SEG.= 3

WZRC

N- 512

SEG.= 3

WXRL

N= 512

SEG.= 3

N= 512

SEG.= 3

WHRL

i i inn! I 1 tiinil i in Hill i i i mill

10' 10° 10~a

 10°

K = u/V (m"1)

10-a 10°

Figure A.119. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 18.

A.147
POOR

10

-z

10°

K = u/V (m"1)

10~a 10°

Figure A.120. Two-point cross-spectra of gust velocities, Flight 6, Run 18,

A.148
OF POOR QUMJTf

TABLE A.30. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 18.

STAR T TIME • 52564,5399

CHANNEL UNITS HIGH

? PHI D3T

3 ACC L N CG

4 THETA DOT

5 THFTA

6 PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACC L N LT

1? ACC L N RT

13 ACC L X CG

14 ACC L r CG

15 ALPH A CTR

16 BET A CTR

17 TEf.P I

IF TEM P P

19 ACC L Z INS

20 ALPH A RT

21 BET A RT

22 ALPH A LT

23 BET A LT

24 PSI DOT

25 TEM P TOT

26 DC LT

27 QC CTR

28 QC RT

29 PS

30 TEMP IRT

31 D TO G

32 8 TO 0

33 LONG

3 4 LAT

35 TRK AN6

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEMPC

41 EU USD SPD

42 NS VND SPO

43 rflM) SPEED

<•- ait.o OIREC

-i AIRSPEE D R

47 AIRSPEED I

48 DELT A ALT

49 INRTL DISP

50 UG RIGHT

51 UG CENTE R

52 UG LEFT

53 VG RIGHT

5 4 VG CENTE R

55 VG LEFT

56 WG RIGHT

5 7 WG CENTE R

58 UG LEFT

RAD/SE C

G UNITS

RAO/SE C

R AO

R AD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R A D

R AO

OtG F

OEG F

G UNITS

R AD

P AD

RAD

RAD

RAD/SEC

D£G C

PSID

PSID

PSID

PSIA

DfG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SE C

DEGREES C

KNOTS

KNOTS

KNOTS

PEGPEE S

P/SF C

r/st c

M/SEC

METERS

METERS

M/SEC _ . ._.

M/SEC

M/SEC

M/SE C

M/SE C

H/SEC

M/SEC

M/SEC

M/SE C

.195

-.986

.087

.153

.145

35.765

6.342

397.367

6.108

2.588

2.747

.316

.157

.092

.070

99.163

90.545

1.645

.114

.078

.102

.046

.072

34.049

STOP TIHE • 52631.3149

LOW MEAN RMS 1

-.207 -.00258

-.988 -.98774

-.084 .00333

-.012 .07550

-.127 .00356

25.910 31.45116

-3.003

388.214

-3.389

-.636

-.247

.017

-.118

-.081

-.159

97.724

90.366

.415

-.092

-.100

-.075

-.141

-.068

29.520

2.35194

393.41160

2.06283

1.00169

1.0130C

.15350

.00152

-.00708

-.03934

98.39555

90.46761

1.00154

-.00050

-.00414

.00208

-.0451"

.00368

31.36908

.06040

.... .98774

.02547

.08620

.04152

31.49658

Z.8755l.._.

393.41494

2.66879

1.08411

1.08702

.17344

.03763

.03364

.05356

98.39612

90.46765

1.02298

.03735

.03295

.03573

.05598

.02713

31.39065

1.004 .474 .74758 _ .76334 ...

.989 .478 .73113 .74626

1.026 .481 .75578 .77157

11.604 11.566 11.58464 11.58485

26.090 12.776 20.59054 21.00565

8754689. 93387 51012. 826******* ***************

80.379

-104.870

39.619

32.552

.643

70.764

112.245

1.975

27.299

24.320

54.570

55,573

225.526

121.605

11S.295

120.086

20.633

20.283

9.760

8.526

S.174

9.664

.... .. 11.376

8.716

9.557

_ 9.480

9.369

60.365

-104.904

39.776

30.151

.475

49.790

83.533

1.948

25.061

-16.134

14.967

15,448

149. 2?6

83.P5 3

83.63 6

83.232

-5.974

-12.200

-13.188

-13.847

-13.089

-12.167

-13.122

-11.608

-11.531

-11.527

-10.305

80.37110

-104.88764

39.79683

31.27949

.57156

62.60382

102.85307

1.96161

26.09496

7.90204

36.70662

..... 38,3034 2

191.73120

104.08300

102.41479

103.52546

7.32828

4.10521

.00000

.00000

.00000

.16674

. .18613

.19356

.10974

._ .13023

' .08614

80.37110

104.68784

39.79684

31.28723

.57234

62.98293

103.25508

1.96162

26.09952

10.95496

37.43329

...... 39,00336

192.09765

104,6?399

102.94240

104.06756

9.68465

9.37802

3.92471

4.00853

4.17415

3.94106

..... 4,03599

3.96635.

3.96695

3.89513

3.79863

POINTS

1871

1871

1871

1871

1871

1871

1671

1871

1871

1871 ....

1871

.1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1671

1871

187]

187]

1871

1871

187]

187]

1673

1873

1873

1971

1873

187 3

187]

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

1871

A.149
<U

10

O) +•>

QO •»->

<U •—

O O

C

(6ap)

Q o

c\j

 w

00 VO

V 0) oj

•u E £

o>

o

o

o

a\

o

o

o

oo

s_

o

c

o

o

ra

so

o

o

o

o

o

0)

•o

(U

LT)

I -rC7>

in,-

CO

LO

O

CO

vo

t/>

(U

co

CNJ

o

o

-.'J.

\\— i p )

^^X)J9

C

a:

vo

o

•r—

(O

O

CM

cu

A.150
o

CM

O

CO

O

CO

O

<f

O

<\l

o o o o o

CM i-< —I (\J

I I (S/TU) paadg

o o o o o

CM —• —i C\l

I I

o

o

<u>

CD

TJ

c

o

-

£

}

.

"

.

,

CM

CD

O

O

CO

CD

O5

.

O

T

1

CD

CM

„

O

a>

w

0)

E03

<u

•r~

4-> •

0 i—

O

r— C

OJ 3

> o:

4-> «

3

O>4->

M- 01

O -rl/) U_

OJ

•^ »»

S- to

/^ ft \

•M O

10 C

••- CU

(U

OJ

I— -o

<u

O)

A.151
TABLE A.31. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 19.

I. Mean Airspeed (m/s)

R

96.6 95.5 97.3

III. Standard Deviation

of Gust Velocity

Differences (m/s)

A

\CL

1.13

1.27

7

tf"

ZCL

1.17

°

1.19

ZRC

1.44 1.29

RL

1.46

1.29

iWZRL

1.69

II. Standard Deviation of

Gust Velocities (m/s)

XL

2.45

a

WYL

3.44

w

xc

W

2.42

XR

2.41

CT

WYR

3.62 3.55

a

WZL

cr

w

3.19

zc

cr

W

3.11

ZR

3.10

IV. Integral Length Scale (m).

•^W ^*W ^*W

190

1579

190 194

1560 1467

ZL

308

ZC

330 307

A.152
1.0

0 5. -5. 0 5. -5. ' 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.123. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 19.

A.153
fi

<u

<u

o

u

ti

a

s_

o

u

I

o

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

3000.

Figure A.124. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 19.

A.154
a

HI

o

o

c

o

o

o

I

3

G

'S

1.'

0.

-1.

 L

WXRC

i. -

WXCL

WXRL

WYRC

WVCL

WZCL

0. 1000. 2000. 300Q. "5000.

Spatial Lag ,S=--VT(m)

Figure A.125. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 19.

A.155
102

 ir

10° r

10-'ib

>.

«

102

10°

10-

102

10o

10-'r

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

,,J . , i .mil I , in,,,.

von Karman

N= 512

SEG.= 4

WZL

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

ml , ,, mill

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

Wy

—von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

10

-a 10° ID'2

 10°

K = u/V (nr1)

10

,-8 10°

Figure A.126. Normalized auto-spectra of gust velocities, Flight 6, Run 19,

A.156
108

r 10°

«• 10-*

108

108

6

6"

N= 512

SEG.= 4

WXCL

' \

N= 512

SEG.= 4

WYCL

**

N= 512

SEG.= 4

WZCL

N= 512

SEG.= 4

WXRC

N- 512

SEG.= 4

++

N= 512

SEG.= 4

f

 ^

N= 512

SEG.= 4

N= 512

SEG.= 4

WYRL

j

N= 512

SEG.= 4

t mul i i nun! i i limit i iitnJ

10

-8 10° 10° 10

,-8 10°

Figure A. 127. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 19.

A.157
W

x

w

z

102

ioz

-f

T

—LL

—-LC

—LR

W

X

W

Y

i inirJ t i ntiiJ i 1 11 mil i i inml

rf

r r

rr

-LL

-LC

-LR

N y W z

rr

—LL

—- LC

—LR

— CL

102

 r

10°

•&•

ic

8

10Z

10°

•e*

rr

rf

-CL

-CC

-CR

i itniitl t i until j t mini i innJ

—CL

J

-r

rr

rf

imil i i mini i i mini i i inij

rr "\

rr

IT

—RL

—-RC

—RR

i i mini i i inml i I mnn i iininl

10

,-z 10° ID'8

 10°

K = w/V (

10~a

10°

Figure A.128. Two-point cross-spectra of gust velocities, Flight 6, Run 19.

A.158
TABLE A.32.

ORIGINAL PAGE B

OF POOR QOAUPf

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 19.

START TIME • 52704.6901 STOP TIHE • 52766.2901

CHANNEL

2 PHI OOT

3 ACCL N CG

4 THETA COT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

_J3 ACCL X CG

14 ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEf<P I

18 TEHP P

19 ACCL Z INS

20 ALPHA RT

21 BETA RT

22 ALPH A LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 OC LT

27 QC CTR

2B OC RT

29 PS

30 TEMP IRT

31 0 TO G

3"> B TO D

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

3i VN

39 ALTITUDE

~ 41 Eh kNO SPD

4; NS UN-) SPO

*3 W I Mi SPEED

" -<. * INO oi»EC

| 45 AIRSPEE D R

47 AIRSPEED L

4fl DELTA ALT

49 INRTL DISP

' 50 UG RIGHT

51 UG CENTER

" 52 UG LEFT

53 VG RIGHT

" 54 VG CENTER

55 VG LEFT

56 MG RIGHT

57 UG CENTER

56 WG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAD

R AO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R AD

R AD

DEC F

DEG F

G UNITS

R AO

RAD

RAD

R AD

RAD/SEC

DEG C

PSID

PSID

PSID

PSIA

DEG C

METERS

DEGFEES

DEGREES

DEGREES

DEGREES

RADIAN S

M/SEC

M/SEC

KM

DEGREE S C

KNOTS

KNOTS

KNOTS

GEGFEE S

M/SEC

M/SEC

M/S6C

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.195

-.988

.089

.138

.085

194.979

7.048

557.548

1.521

2.378

3.042

.200

,181

LOW

-.140

-.988

-.074

.027

-.142

185.469

-7.323

543.466

-7.594

-.916

-,363

.001

-.198

.118 -.090

.073 -.136

98.984 98.264

90.725 90,545

1.561 .312

.141

.110

.107

.054

.080

31.687

. -.077

-.077

-.081

-.123

-.070

29.422

.786 .472

.759 .457

.776 .478

11.623 11.564

25.534 18.906

8753817.2988751939.418

80.371

-104.881

39.826

192.722

3.418

-14.968

-79.477

1.976

27.294

30.837

39,466

40.473

296.566

105.990

104.772

106.565

16.447

10.140

11.172

11.603

11.531

9.794

8.954

7.763

10.137

11.373

10.656

80.370

-104.893

39.780

190. C89

3.254

-18.960

-68.226

1.935

25.101

-6.486

-4.024

.416

88.507

83.417

81.645

82.937

-24.091

-23.988

-9.346

-10.301

-9.250

-8.477

-9.466

-8.703

-15.526

-13.960

-15.337

MEAN RMS

-.00296 .04568

-.98774 .98774

.00696 .02169

.08364 .08753

-.00324 .03751

191.60679 191.61632

-1.19551 2.48680

549.52867 549.53279

-1.56996 2~.45186

1.01457 1.06968

1.02964 1.08828

.07291 .07944

.00464 ,05013

,00689 ,02856.

-.02491 ,04226

98.69812 98,69824

... 90.54659 . 90.54659

1.00751 1.02198

.01623 .03496

.01097 .03335

.01676 .03253

-.03366 ,04510

.00379 .02652

31,01732Zl2l«02043

.64352 .64675

.62902 .63201

.65209 ,65506

11.59795 11.59796

21.76447 21.79981

**********************

80.37043 80.37043

-104.88735 104.88735

39.80218 39.80218

191.39770 191.39871

3.36306 3.36324

-16.83823 16,85999

-83.35918 83.40849

1.95249 1.95250

26.46305 26.46615

12.72001 15.10623

17.90769 16.64510

23.05311 24.15235

212.72362 213.65975

97.25571 97,36520

95.54755 95.65967

96.61565 96.73505

-6.97398 10.78014

-5.89437 10.00265

-.00000 3.20215

-.00000 3.25581

-.00000 3.35707

-.11567 3.92306

-.11009 3.94191

-.10724 3.74048

-.03404 3.70736

-.02507 3.68525

-.02231 3.85930

2464

2464

.. .2464

2464

2464

2464

2464

2464

2464

2464

2464

.2464

2464

2464

._.. 2464

2464

2464

. 2464

2464

2464

2464

2464

2464

2464

.2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

2464

A.159
<

u

<BO) +-

>

Qi <0Q.

O +•»

0 -r-

<U r— Q O•M •g

~l - 1 J L

O•*

a>

•o

un

in

LOt—

o>

(5ap)

10

CSJ —. T3

33 I- C

0» Q O

•— s. o

^^ <u

' «3" IO

»3- O

r— .. O O LO •— C0

tt» Ol f0

•*•» E 1~

<0 ••- 3

Q »— Q

(0Q.o>

O

4->Coo(O

00

(/>O)

nCM

OOJc3

ec. o

l»-cOL JCo> en

CVJ O) S- O)

ooo

oooCO

ooo

0o

 S o o o

A.160
o

o

CO

3

cn

•a

c

(O

l/>

ai

•r- O

O CM

O

i— C

CU 3

> a:

4- O>

O TCO LiCU

*f— ft

S_ CO

O 01

4-> O

CO C

•r- O)

CD

d) <4-

E 4-

O

oo

<:

i.

o o o o o

CM " «-• CM

I I (s/ui)

a o a a o

CM —. —i CM

i i

A.161
TABLE A.33. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 20.

I. Mean Airspeed (m/s)

103.3 102.2 104.0

II. Standard Deviation of

Gust Velocities (m/s)

a

WXL

2.11

a

WYL

2.33

a

w.xc

2.13

<7

w.YC

2.40

a

WXE

2.10

a

WYR

2.25

III. Standard Deviation

of Gust Velocity

Differences (m/s)

CL

1.13

1.34

1.45

1.28

1.42

1.33

*\RL

1.50

XCL XRC XRL

1.37

HRC HRL

1.66

<7

WZL

3.57

w

zc

3.51

WZR

3.77

IV. Integral Length Scale (m).

376

144

\<

436

YC

128

L362

SB

312

198 205 167

A.162
1.0

0.8 -

0.6

R'^igh

C = Center

L = Left

I I T i i i i i \ \ rr i i

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1-RC

2-CL

3-RL

A N

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.131. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 20.

A.163
1.

0.

-1.

WXR

Nxc

c

<U

"u

0)

o

u

fl

o

11

I

o

_ L

-1.

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

NYC

WYL

Wzc

WZL

4000.

Figure A.132. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 20.

A.164
-4-2

C

<U

MH

«4-<

V

O

u

c

oel

a

o

u

I

o-^?

3

o

PL,

I

o

°

r

-1.

0.

WXCL

!_____—L

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.133. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 20.

A.165
b

'?

10°

10

-i

s

108

10°

10-

von Karman

N= 512

SEG.= 3

-von Karman

N= 512

•von Karman

N= 512

SEG.= 3

•von Karman

N= 512

SEG.= 3

von Karman

N- 512

SEG.= 3

von Karman

N= 512

SEG.= 3

W,

von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

W.

von Karman

N= 512

SEG.= 3

10

-8

10° 10~8 10° ID'8

K = u/V (m'1)

10°

Figure A.134. Normalized auto-spectra of gust velocities, Flight 6, Run <!0.

A.166
108

10-2

10*

- 10°

102

N= 512

SEG.= 3

WXCL

%\

N= 512

SEG.= 3

WYCL

^ i iiinJ

N= 512

SEG.= 3

WZCL

.1,1 . , ,,,,,

N= 512

SEG.= 3

N= 512

+ SEG.= 3

WYRC r

N= 512

SEG.= 3

1 , ,,,„„!

N= 512

SEG.= 3

WXRL

N= 512

SEG.= 3

WrRL

N= 512

SEG.= 3

WZRL

10° 10~2 10°

K = cj/V (m

10,-2 10°

Figure A.135. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 20.

A.167
10-*

10'

8

10° 1(TZ

 10°

K = w/V (m'1)

10°

Figure A.136. Two-point cross-spectra of gust velocities, Flight 6, Run 20.

A.168
ORIGINAL PAGE IS

OF POOR QUALITY

TABLE A.34. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 20.

START TINE • 52604.3152 STOP TINE • 52334.9692

CHANNEL

2 PHI DOT

3 ACCL N CG

" 4 THETA DDT

5 THeTA

'~ 6 PHI

7 PSI 1

8 PEL PSI 1

" <> PSI 2

10 DEL PSr2~

11 ACCL N LT

1? ACCL N RT

13 ACCL X CG ~

14 ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

16 TEMP P

19 ACCl I INS

20 ALPHA PT

21 BETA RT

~Z? ALPHA LT

?3 BET A LT

24 PSI DOT

'25 TEHP TOT

26 OC IT

27 OC CTR

28 OC RT

29 PS

30 TEMP IRT

31 0 TO G

32 B TO 0

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

3? VN

34 ALTITUDE

40 TEMPC

. 41 EU WHO SPO

42 NS UNO SPD

' 43 WIN D SPEED

44 WIN D OIJ.EC

" 4< AIRSPEE D R

' i». ilPSPSIC C

47 AIRSPEED t

49 DELTA AIT

49 INRTl DISP

5C UG UGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 UG RIGHT

57 WG CENTER

58 UG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

R AD

FAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS

G UNITS

RAD

R AD

DEC F

CEG F

G UNITS

RAD

R AD

R AO

R AD

RAD/SEC

DEG C

PSID

PSIO

PSID

PSIA

DEC C

METERS

DEGREES

DEGREES "'

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREE S

M/SEC

M/SfC

M/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/StC

M/SEC

M/SEC

M/SEC

HIGH

.234

-.986

.122

.192

.086

56.554

4.168

415.673

3.873

2.751

3.096

.398

.124

.164

.119

98.804

90.725

2.092

.205

.134

.152

.061

.080

33.557

.863

.843

.874

11.634

27.186

LOW

-.135

-.988

-.157

.027

-.118

46.452

-3.855

407.928

-4.213

-1.227

-1.343

.036

-.100

-.155

-.152

98.084

90.545

-.044

-.144

-.111

-.141

-.159

-.113

30.210

.504

.481

.475

11.567

10.560

MEAN

-.00373

-.98774

.00343

.07552

-.01264

53.50850

1.13628

412.72897

.80630

1.01258

1.02750

.12597

.00643

-.00725

-.02825

98.33777

90.59107

1.01042

.00053

.00660

-.00016

-.03402

.00327

_32t40597

.73629

.72098

.74739

11.58941

22.91253

RNS

.03946

.98774

.02364

.08809

.03459

"53.52779

1.80927

412.73128

1.62778

1.06829

1.07798

.14404

.03352

.03304

.04592

98.33794

90.59110

1.02653

.03711

.03210

.03169

.04643

.02725

__J2_, 41696

.74211

.72633

' .75312

11.58943

23.46166

8759064. 4 2287 54026. 68 S**********************

60.419

-104.814

39.804

54.559

.983

97.816

75.396

1.974

27.687

25.917

31.316

36.500

260.654

112.605

110.559

111.875

43.542

41.682

6.945

5.710

6.445

6.977

9.013

6.466

19.927

17.020

15.904

60.389

-104.668

39.773

52.259

.838

81.338

58.102

1.927

25.859

4.464

3.551

11.022

191.760

63.236

63.662

85.743

-3.157

-6.033

-6.843

-7.003

-6.545

-7.533

-7.649

-9.300

-11.561

-11.978

-12.394

80.40342

-104.84199

39.78779

52.66599

.92853

91.52749

69.3521]

1.95844

27.16321

15.57736

20.25756

25.95807

217.69641

104.04720

102.23646

103.28117

26.01745

26.55113

.00000

.00000

.00000

-.01178

-.00316

.00048

.16088

.18542

, .16906

80.40342

104.64200

39.78779

52.86836

.92886

91.69507

69.53321

1.95847

27.18495

16.19384

20.72973

26.30518

217.96397

104.25837

102',43991

103.49810

30.29206

29.92756

2.24124

2.31205

2.25835

2.09730

2.20645

2.13B89

3.44830

3.23233

3.25304

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

.. 2010

2010

?010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

2010

A.169
ORIGiNAL PAGE IS

OF POOR QUALITY

01

>

O£ <O

Q_

C

O 4J

•<- JZ

•»-> OT

O •!-

<U r—

1- U.

r i

t.\t

:o

o

(J

0)

' 00

^- Lf)

0) tt) «

4J E l_

(O -i- 3

Q h— Q

o

I

a>

o

• <u

s^

0>

o

LO

o

to P—• i

CT»

CO

I/I

(U

OJ

OL

IO

en

U_

o

(O

o

c

>O

a.

a>

ro

cu

01

A.170
*

o

>-

o

X X

3

o

<Y.

X

dX

D D O O O

(\J •—• 1-1 t\J

I I

ce

x

O

O

o O

co Q}

OT

O

co a)

O

(M

O

O

<\J

O

O

O

CO

o

o

(M

(S/TII)

o o a a o CM —. —i c\j

i i

o

o

a>

>

CO

3

en

T3

c

(O

(/I

O)

U CM

O

CD

>

O TO)

•r— *»

S- tO

O CU

-!-> O

to c

•r- 0>

JZ S_

OJ

0) 4-

00

CO

=t

s_

A.171
TABLE A.35. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 21.

I. Mean Airspeed (m/s)

R

96.4 95.6 97.6

II. Standard Deviation of

Gust Velocities (m./s)

a

WXL

3.67

a

w.

c

3.46

WXR

3.48

a

WYL

3.27

a

w.YC

3.30

WYR

3.00

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC

a

WZL

3.44

a

w,zc

3.42

a

WZR

3.57

1.51

AWAWZCL

1.55

1.79 1.61

ZRC

1.63 1.70

1.97

HCL XRC XRL

1.78

ZRL

1.96

IV. Integral Length Scale (m).

uT "il T 'TI T T* n,, „ Ti ^JL

166

253

153

258

Sv

c

147

SB

275

158 194 158

A.172
0.0

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.139. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 21.

A.173
1.

0.

-1.

NXR

Wxc

c

• fj

a

o

u

a

o

3

a,

"a!

t.,

»w

o

CJ

_ L

l-i—X_ i

-1.

L

o.

WXL

W YR

i ., . i

NYL

WZR

Wzc

_u 1

WZL .

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.140. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 21.

A.174
*J

c!

0>

0)

O

O

C

o

'-13

si

1

o

o

I

o

"3

<

-*J

R

O

PH

I

O

<s

L

l.L

0.

-1.

0.

WXRC

WYRL

• _ . i

_L_ I

WZ RL •

1 I

1000. 2000. 3000.

Spatial Lag ,S=V7(m)

4000.

Figure A.141. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 21.

A.175
b

"i?

10"

10°

10-

von Karman :

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

von Karman

N- 512

SEG.= 3

Wv

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

—von Karman

N= 512

SEG.= 3

•von Karman

N= 512

SEG.= 3

10

,-3

10° 10~8

 10° 10-

K = o>/V (m'1)

10°

Figure A.142. Normalized auto-spectra of gust velocities, Flight 6, Run 21

A. 176
10Z

102

r 10°

10s

- 10°

N= 512

SEG.= 3

WXCL

.

N= 512

SEG.= 3

WYCL

+•<!•.

"

N= 512

SEG.= 3

WZCL

N= 512

SEG.= 3

WXRC

N= 512

SEG.= 3

WYRC

++*tf.

N= 512

SEG.= 3

WZRC

N= 512

SEG.= 3

WXRL

N= 512

+ SEG.= 3

IIMIll

N= 512

5EG.= 3

WHRL

10° icr2 10°

/c = u/V (m

10- 10°

Figure A.143. Nonnalized two-point auto-spectra of gust velocities,

Flight 6, Run 21.

A.177
'.„ 10

-LL

-LC

-LR

r r

• muni .iim.1 I mini iui.nl

LL

—-LC

—LR

i inniil i iniml i i m ml t i nntl

pi

—-CC

—CR

ioz

^ 10°

io-

—RL

—-RC

—RR

—RL

—-RC

-RR

i<rz 10° io~8 10°

K = u/V (m-1)

10- 10°

Figure A.144. Two-point cross-spectra of gust velocities, Flight 6, Run 21

A.178
TABLE A.36.

ORIGINAL PAGE IS

OF. POOR QUALITY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 21.

START TIHE 52918.690* STOP TINE • 52960.2904

CHANNEL

2 PHI DOT

3 iCCL N CG

4 THETA DOT

"5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N IT

12 ACC L N RT

13 ACCL X CG

It, ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

16 TtMP P

19 ACCL Z INS

20 ALPHA RT

21 BETA RT

"22 ALPHA LT

23 BETA LT

~2<. PSI DOT

2i TEMP TOT

26 OC LT

27 OC CTR

23 OC RT

29 PS

30 TEMP IRT

31 D TO G

32 B TO 0

33 LONG

3* LAT

35 TRK ANG

36 HOG

" 3 7 V E

~38~VN

39 ALTITUDE

40 TEflPC

41 £V UNO SPO

" 42 NS WHO SPD

" <•] Wl'fl SPEED

~4* WIN D DIPEC

' 45 AIRSPEE D R

4<> AIRSPEED C

47 AIRSPEED L

<,* DELTA ALT

49 INRTL OISP

50 L'G RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 WG RIGHT

57 WG CFNTER

59 UG LEFT

UNITS

RAD/SEC

G UNITS

RAO/SEC

RAD

R AD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

DEG F

DEG F

G UNITS

RAD

R AD

R AD

RAD

RAD/SEC

DEG C

PSID

PSIO

PSIO

PSIA

ore c

PETERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

CEGREES

M/SEC

H/SEC

M/SEC

METERS

METERS

P/SEC

M/SEC

M/SEC

M/SEC

M/SEC

H/SEC

M/SEC

M/SEC

f/SEC

HIGH

.187

-.988

.124

.133

.172

220.333

6.930

581.839

6.841

3.800

3,744

.229

.196

.126

.119

96.624

90.725

2.273

.158

.156

.126

.099

.093

32.472

LOW

-.211

-.988

-.142

.004

-.103

210.125

-2.885

571.982

-3.095

-1.446

-1.556

.017

-.147

-.104

-.155

98.084

90.545

-.061

-.086

-.096

-.106

-.149

-.074

30.899

.816 .475

.781 .493

.793 .504

11.630 11.581

25.905 20.918

8757342.9128754752.941

80.404

-104.835

39.806

218.318

3.867

-49.668

-68.740

1.964

27.936

32.712

36.161

37.479

272.262

107.219

106.327

108.631

2.631

0.000

11.618

10.664

13.014

9.241

9.720

9.336

10.808

9.601

10.658

60.393

-104.860

39.780

214.233

3.690

-54.592

-73.019

1.930

26.197

-12.838

-.405

3.931

98.002

85.973

85.011

63.439

-31.864

-29.527

-9.683

-10.652

-11.653

-8.562

-8.802

-10.182

-9.085

-7.651

-9.245

MEAN

-.00081

-.98774

.00692

.06964

.00628

214,42823

1.36186

576.29671

1.19723

1.00561

1,02663

.0738B

,00737

.00494

-.01737

96.40822

90.72444

1.00324

.01505

.01681

.01295

-.02629

.00231

3_J. 79919

.63856

.62800

.65518

11.60876

23.94578

***********

"86.39661

-104.84752

39.79275

215.72319

3.76632

-51.24423

-71.16422

1.94496

27.24434

11.68084

10.32649

17.34749

223.01064

97.60199

95.59349

96.36692

-16.66124

-20.04487

-.00000

-.00000

-.00000

-.06347

-.06555

-.05988

-.04443

-.03628

-.02823

RMS

_,05916

.98774

.02633

.07536

.04803

214.44213

2.75481

576.30144

2.68900

.. 1.12389

i. 13564

.07956

_ .05112

,03205

.05996

98.40826

90.72444

1.03396

.03660

.05416

.03800

.05866

.04145

31.80051

.64090

.63002

.65727

11.60877

23.96379

***********

60.39881

104.84752

39.79275

215.72528

3.76657

51.25603

71.17224

1.94499

27.24673

14.53317

11.70199

18.65677

225.29530

97.67514

95i 66 57 2

96.45035

18.44360

21.64417

3.84191

3.87109

4.18771

3.36266

3.60657

3.51979

3.57624

3.43912

3.46054

POINTS

1664

1664

1664

_1664

1664

1664

1664

1664

1664

1664

._ 1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1664

1666

1664

A.179
-

i 1

<u>o>

ro

O 4J

U •«-

0) r—

s_ u_

Q O

4->

•o l_o

(6ap)

OJ *— • T5

O) K- C

2g 8 ^ (D

•» O l/>

>•.

O) OJ f

•4J E i

nj ••-

cn

o o o o o o

<T» 00

o-MCOCJ

ooo

ooo

: O

-i i

O>

0) •o

IDo

CO

•o

C7> O

LDO

lf>r—

ro

00

O)

Osl

Oooun

CM

CMo

4->

(OoM- c: (OQ

.

Ol

S- 3CD

A.180
O

CD

OT

(U

o

o

to

3

T3

C

to

to

o>

•r- CM

O CM

O

r— C

<U 3

> o;

CO VO

3

CT>4->

o ••-

to U01

•I—" *•>

S_ to

0 Ol

+-> o

•r- 01

-C S0>

01 <*-

S MID

QJ

O)

O O D O O

CM -* —• <M

I I (s/ui)

o o o o o

CS1 —i —"C M

I I

A.181
TABLE A.37. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 22.

I. Mean Airspeed (m/s)

R

102.5 101.6 103.4

n. Standard Deviation of

Gust Velocities (m/s)

CT

WXL

2.48

a

w.xc

2.34

a

w.XR

2.44

a

w.YL

3.87

(7

WYC

4.00

<7

W.YR

4.06

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC

a

w,ZL

3.68

a

w,zc

3.64

W,

ZR

3.58

1. 11

1.08

1.33

1.24

1. 19

1.33

1.44

HCL XRC XRL

1.22

RL

1.47

IV. Integral Length Scale (m).

XL

151

1053

ZL

\

XC

139

XL \

1048

\

ZC

XR

149

1106

ZR

496 541 478

A.182
1.0 i i i i I I i i r

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.147. Probability density function for gust velocities and g-ust

velocity differences, Flight 6, Run 22.

A.183
1.

0.

-1.

WXR

Wxc

WXL

G

'o

G<(-,

<u

o

CJ

fl

o

5

_«g

lu

o

u

_ L

-1.

0.

NYR

WYC

i i i

>^_

i i — — . .^j i

W YL

i i i

-

WZC

WZL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

SOOO.

Figure A.148. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 22.

A.184
0)

o

u

G

o

13

cd

1

O

o

I

o

R

'o

Q-,

Io

1.

0.

-1 ^

,_ L

-i.

0.

I _^ L. -t.

_ i I I _i I L_

J l_

I -_-lJ. L.

WXRC

=L

WXCL

NXRL

WYCL

_j

..——

NYRL

j i

WZRC

WZRL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

Figure A.149. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 22.

A.185
102

10-'r

b

\

«

108

10°

10

-t

t

I

10Z

10°

10-

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

WY

von Karman

N= 512

SEG.= 3

||4 ill inij t i i initl i i mill I I mini i t 11 mil i i i mill

von Karman

N= 512

SEG.= 3

—von Karmaji

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

10-3 1Q0

10°

= «/V

Figure A.150. Normalized auto-spectra of gust velocities, Flight 6, Run 22.

A.186
108

 r

b

fcT

^?

102

108

SEG.= 3

WXCL

N= 512

SEG.= 3

WYCL

i 1 1 UK! i i i inrtl i i i mill

N= 512

SEG.= 3

N= 512

SEG.= 3

WXRC

N= 512

SEG.= 3

•*»•

N= 512

SEG.= 3

N= 512

WXRL

ml i i MI nil i i iiuitl i i i unil

N= 512

SEG.= 3

WYRL

N= 512

5EG.= 3

10

-2

10° io-8

 10°

/c = w/V (m

10,-a 10°

Figure A.151. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 22.

A.187
~ i MM nil i 11 irml i 11 mill i intnJ

r —RL

—-RC

—RR

' t tinitl i mail i niiirn_j iinml i nnuJ i IIHIII i nuiij i uimi i initiil i iiinnl > itninl i lima

10

-z

10° 10~8 10°

K = u/V (m"1)

10

,-z 10°

Figure A.152. Two-point cross-spectra of gust velocities, Flight 6, Run 22.

A.188
TABLE A.38.

ORIGINAL PAGE IS

Of POOR QUAUTf

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 22.

START TIME • 52990.3705 STOP TINE 53036,4455

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

<> PSI 2

10 DEL PSI 2

11 ACC t N LT

12 ACCl N RT

13 ACC L X CG

..14 ACC t Y.CG.. .

15 ALPH A CTR

16 BETA CTR

17 TEMP I

18 TEMP P

19 ACC L z IN;

20 ALPHA RT

21 BET A RT

22 ALPHA LT

23 BET A LT

24 PSI DOT

I_25..TEhP JO.T_

26 OC IT

27 OC CTR

26 QC RT

29 PS

30 TEMP IRT

31 D TO G

32 B TO 0

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

38 VN

3<» ALTITUDE

40 TEHPC

41 EW UNO SPD

42 NS MNO SPO

^ 43 WIN D SPEE D

~ 44 wlNO OISE C

4 '. AlP'Pck C t

<•£- Mf SPUD C

47 AIRSPEE D L

4 9 DELT A AL T

~ 49 INKTL DISP

" 50 UG RIGHT

51 UG CENTER

52 UG LEFT

5 3 WG SIGHT

54 VG CENTER

55 VG LEFT

56 WG RIGHT

5 7 WG CENTER

5 9 WG LEFT

UNI

RAD/SEC

G UNITS

CAD/SE C

RAD

R AO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS

G UNITS

R AO

RAD

DEC F

DEC F

G UNITS.

PAD

PAD

RAD

RAD

RAD/SEC

DEG C

PSID

PSID

PSID

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

H/SEC

M/SE C

KM

DEGREES

KNOTS

KNOTS

KNOTS

OFGPEES

r/st c

rmc

H/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

TS HIGH

.109

-.966

.079

.181

.030

86.493

5.490

444.541

5.255

2.273

2.354

.262

.133

.076

.082

98.264

90.905

1.479

.097

.104

.090

.062

.103

33.853

.895

.862

.897

11.604

29.328

8760971.2511

80.444

-104.785

39.774

83.270

1.517

118.206

21.070

1.986

C 27.899

38.293

27.222

4C.6B4

291.604

114.U9

111.398

113.967

33.600

31.365

9.648

6.556

9.408

13.972

15.673

15.041

8.589

8.292

9.036

LOW

-.172

-.986

-.060

.030

-.127

76.631

-4.325

435.036

-4.507

_ -.307

-.216

.024

-.091

-.076

-.137

_ 97.724

90.725

.284

-.073

-.075

-.077

-.146

-.066

30.21?

.520

.506

.509

11.550

17.050

S755879.872

80.406

-104.844

39.768

79.896

1.341

96.420

11.670

1.948

26.043

8.834

-14.979

9.034

209.430

86.274

86.071

87.220

-3.768

-6.735

-7.711

-6.124

-7.847

-6.200

-6.394

-5.885

-10.433

-11.363

-11.200

J»i*N

-.00283

-.98774

.00350

.07443

-.02673

93,81470

2.79380

441.91883

2.57447

1.00330

1.01659

.12149

,01151

-.00758

-.01872

98.01275

90.73602

1.00042

-.00064

.01575

-.OOZ14

-.02602

.00472

__12.3855V

.72472

.71109

.73747

11.56959

24.7692*

***********

80.42410

-104.81595

39.77097

81.92032

1.46647

111.24998

15.92429

1.97224

27.22379

19.53997

14.64819

25.63871

233.76620

103.4C042

101.59011

102.53491

20.16525

17.63709

,00000

.00000

.00000

-.12695

-.11394

-.10724

.14935

.16089

.13440

RMS

.04419

.98774

.01700

.08715

.04460

81.83719.

3.39169

441.92280

3.20726

. 1.04979

1,05486

.13763

_.. .03303

,02569

,03519

98,01286

90,73603

. 1.01116

,02859

.03031

.02770

.03739

.02565

32.40210

.... .73174

.71788

.74494

11.56960

.......25.03831..

***********

80.42410

104.61596

39.77097

81.92492

1.46867

111.44137

16.12511

1.97226

27.22644

20.10128

16.56572

26.04773

234.3995 8

103.67006

101.83991

102.79019

22.22558

21.17311

2.29812

2.21342

2.35747

4.01426

3.94579

3.82357

3.36516

3.42857

3.45362

1843

1843

1843

1843

1843

1843.

1643

1643

. 1843

1843

1843

1843

1843

_ 1843

1843

... 1843

1843

1843

1843

1643

...1843

1643

... 1843

1643

1843

1843

1843

1843

1843

. 1843

1843

1643

1843

1643

1643

1843

1843

1843

1643

1843

1843

1843

1843

1843

184 3

1643

1843

1843

1843

1843

1843

1843

1843

1643

1843

1843

1843

A.189
(O

r- .e

OJ 4->

{Si HJ

0.

c

O 4->

•r- -C

•M 0>

O -rQJ r—

s_ u.

O O

4J

-3

C

I I

J L

OO I— O

T> Q (j

•— SO)

-- • 1/5

' O

«*• i — CO

•— •• CTi

^ C

O

O) OJ (O

4-> E S-

•O ••- 3

Q I— Q

0>

I

(6ap)

0 0 0

o o o

0 0 0

cr> co r->.

o

O

—i O

en

at

o

• (U

LT> -O

O 3

r— 4J

I "r^

O>

c

o

Lf>

o

en

CO

cr>

00

(U

IT)

O

o

o

in

ORIGINAL PAGE BS

POOR QUALITY

s'f • - \\ ,Ji X.iv/' Wk

<</r; &}&

' ^ ^\':-

•'"•>'F

AiW^AJtf^A

•A-:-

CO

CM

3

o;

CD

o

Mc:

CO

LT)

s_

3

O)

**

A.190
o

o

QJ

>

in

QJ

•r- CO

O CM

O

r— C

O) 3

I/) IO

(U

•r- •>

i- to

o <u

-u o

CO C

•r- (U

^ i.

<u

QJ <4-

E 4-

QJ

3

C7>

D O O O O (\J •-' —1 t\J

I I (s/ui)

A.191
TABLE A.39. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 23.

I. Mean Airspeed (m/s)

103.8 102.7 104.5

II. Standard Deviation of

Gust Velocities (m/s)

(7

WXL

2.41

w

xc

2.43

WXR

2.44

WYL

7.44

CT

W.

YC

7.48

cr

WYR

7.45

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

a a

WZL WZC

1.55 1.55 1.57

0.59 0.63

A

\

0.58 0.58

0.75

cr.,.r a

fRC

0.64

IV. Integral Length Scale (m).

807

\

799 776

ZCL

0.67

XRC XKL

0.69 0.75

3776 3736 3824

767 102 811

A.192
1.0 "1III|III I

w

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.155. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 23.

A.193
c

SJ "o

c

o

a

a

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure 'A.156. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 23.

A.194
WXRC

CJ

._<

o

(U

o

C

O

"sj

I

O

o

I

o

g

'o

I

o

Q. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.157. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 23.

A.195
10a

 r

10°

l(Tsr

102

10°

10'

102

10°

10-'r

von Karman

N=1021

SEG.= 7

ml

von Karman

N=1024

SEG.= 7

I I "III" I 11 ini—i i "mil

von Karman

N=1024

SEG.= 7

i ii ""I—i 111 mil—i 11 mill—i i nun

von Karman

N=102<J

SEG.= 7

"I i i ""ill i i """I—i i mm

von Karman

N=1024

SEG.= 7

von Karman

N=1021

SEG.= 7

' il 111 mil—i 1.1 mill

—von Karman

N=1024

SEG.= 7

Wy

von Karman

N=1024

SEG.= 7

10-» 10° io~8

 10° io~8

K = <y/V (m-1)

10°

Figure A.158. Normalized auto-spectra of gust velocities, Flight 6, Run 23.

A.196
102

 r

6" 10°

\

'!?

102

6"

^

108

tr 10°

•0.

N=1024

SEG.= 7

WXCL

SEG.= 7

WYCL

SEG.= 7

N=1024

SEG.= 7

WYRC

SEG. = -

SEG.= 7

SEG.= 7

WYRL

1Q-S 10° 1(T8 10°

« = w/V (m

10

-2

10°

Figure A.159. Normalized two-point auto-spectra of gust velocities,

-|: Flight 6, Run 23.

A.197
w „ w.

- ml , ,,,«! ml I, I

RL

10

-z 10° 1CT2

 10°

K = w/V (

• ,1 ,.,,J imiml i

10~8 10°

Figure A.160. Two-point cross-spectra of gust velocities, Flight 6, Run 23.

A.198
PAOE OS

OF POOR QUAWY

TABLE A.40. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 23.

START TIME • 53170.3109 5TOP_H»E - 53363.1609

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

' 7 PSI 1

9 DEL PSI 1

9 PSI 2

' 10 DEL PSI 2

11 ACCL N LT

1? ACCL N FT

" 13 ACCL X CG

l<r ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

18 TEMP P

"19 ACCL Z INS

20 ALPHA RT

"21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 QC LT

27 QC CTR

28 OC RT

29 PS

30 TEHP IRT

31 D TO G

32 B TO 0

" 33 LOKG

34 LAT

" 35 TRK ANG

36 HOG

" 37 WE

3* VN

39 ALTITUDE

40 TENPC

. 41 EM k»NO SPD

4? MS WND SPO

_43 .« ISO SPEED

44 WIN D D.IREC

t" 45 AIRSPEf C R

4* AIRSPEE D C

47 AIRSPEED L

48 DFLTA ALT

4Q INRTL DISP

_?c gc RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

5* VG CENTER

55 VG LEFT

" 56 VG RIGHT

57 KG CENTER

58 WG LEFT

UNITS

RAD/SEC

G UNITS

RAO/SEC

RAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

CUNITS

G UNITS

R AD

RAD

CEG F

DEC F

G UNITS

R AO

R AO

RAD

RAO

RAO/SEC

DEC C

PSIO

PSID

PSID

PSIA

DEC C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KK

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREES

M/SfcC

M/SEC

M/SFC

HETERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.112

-.<J88

.060

.106

.065

318.964

4.462

318.509

6.608

2.319

2.171

.114

.158

.032

.051

98.444

91.265

1.459

.049

.074

.039

.037

.047

32.868

LOW

-.125

-.988

-.044

.028

-.151

310.158

-1.886

312.172

-2.037

-.123

-.332

-.010

-.154

-.064

.. -.Ill

97.904

90.905

.557

-.062

-.059

-.065

-.117

-.035

29.619

MEAN

-.00295

-.98774

.00600

.06149

-.01872

314.60206

1.06459

315.06911

2.15514

1.01313

1.02620

.05927

.00983

-.01289

-.01805

98.33294

91.06143

1.00435

-.00431

.01661

-.00389

-.02370

.00334

30.99356

RHS

.02595

,98774

.01173

.06426

.03662

314,60874.

1.46634

315.07068

2.97909

1.03131

1.04389

.06287

.04515

.01713

.02416

98.33303

91.06146

1.00887

.01376

.02212

.01335

.02792

.01223

"31.00330

.894 ,626 .74468 .74612

.877 .629 .72894 .73036

.914 .644 .75594 .75742

11.612 11.570 11.59178 11. 59179

27.188 15.152 21.67480 21.89621

8761088.2948749959.437*****«**»*»+«*»****«**

80.407

-104.808

40.001

321.944

5.560

-61.959

80.372

1.972

27.322

26.697

18.435

34.?8«

359.997

114.875

112.541

113.630

19.297

17.829

6.959

7.679

7.038

18.662

19.663

19.668

5.927

5.517

6.139

80.278

-104.966

39.886

309.800

5.446

-74.543

60.149

1.943

24.638

-9.680

-34.265

.228

.007

96.597

95.576

._.. 95.292

-10.027

-9.616

-10.088

-9.352

-9.115

-7.580

-8.275

-8.656

-5.422

-5.014

-5.779

80.34369

-104.88488

39.94511

313.32654

5.49857

-69,84850

66.06023

1,95678

25.74040

2.66083

-15.27560

21.C6640

174,17824

104,53087

102.66868

103.76756

3,92072

4.61329

-.00000

-.00000

-.00000

.00035

•00068

.OC261

.00368

.00663

, .00215

80.34370

104.88489

39.94513

313.35062

5.49860

69,94730

66.38855

1.95679

25.74712

8.42233

19,71128

2 1 , 4 3 5 ? 5

235.12447

104.58107

102.73759

J03. 81691

7.77175

8.46133

2.38505

2.37221

2.35646

7.21743

7.24409

7.19960

1.56147

1.52780

1.54623

POINTS

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

__7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

,7738

7738

7738

7738

7738

7738

7736

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7738

7736

7738

7738

7736

7738

7738

7738

7738

7738

7738

A.199
ORIGINAL PAGE IS

OF POOR QUALITY

LT>

<U

>

I.

1 ! 1 1

.^

0) 4-> _/

: X"

Qi (T3

O.

C

O -!->

•r- il

•»-> CT

O -r-

<U f—

s_ u.

Q O| i

-o

c

3

- •. —

~

I ! 1 1

^j^

0

1

o

LT>

O

1

LT>

LO

00 O

• r^ ^—

Q ^ '

OJ — -o

co I- c

en a o •—S o

i — •• i —

O 00

>, ID

a> a> ro

-M E s_

(O -r- 3

O (— Q

+J

(O

a.

I I

(6ap)

o o o

o o o

o o o

o> oo r*.

•o

o

O)

•o

00

o

o S o

o o

vo f

CNJ

c:

CJ)

c

o

o

<+-

c

(O

Q.

Ol

CT)

A. 200
Ct S LJ

M V M

3 f 3

i t i i i

i . i

OL

M

O

>-

g x

1 ft , I

O O.O O CD

(\| .-< T-. (\j

(s/ui) pa adg P^TM

2

<

S

o

o

o

CO

o

CD

O

O

<\J

O

O

I

O

CXI

O

o

9.

o o o o o

CM ^-, —i CVJ

I I

u

o

T3

c

(O

00

O CM

o

'OJ 3

> O£

S- 00

O Ol

4J O

00 C

•.- O)

-C S_

(U

A.201
TABLE A.41. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 24.

I. Mean Airspeed (m/s)

102.9 101.9 103.7

II. Standard Deviation of

Gust Velocities (m/s)

WXL

1.19

WYL

0.80

a

w.

xc

1.16

WYC

0.78

WXR

1.21

CT

WYR

0.74

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

CT

WZL

1.07

w

zc

0.94

CT

WZR

0.97

0.43

0.41

0.44

RC

RC

0.46

0.53

0.40 0.40 0.43

0.50

IV. Integral Length Scale (m).

XL

805

1278

ZL

1469

Sr

840

XL Xc

1032

x^

1256

821

1218

1108

A. 202
1.0

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

I i I i | i I l r

1-RC

2-CL

3-RL ~

A W

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.163. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 24.

A.203
G

<u

QJ

O

U

a

o

3

.2

"oJ

fc

o

u

I

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.164. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 24.

A. 204
1o

o

o

R

O

^I

1000, 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.165. Two-point auto-correlation coefficient of gust ve]pp1t1psf

Flight 6, Run 24. '"

A.205
102

10°

lO'1

10*

10°

io108

10°

io-!

von Karman

N= 512

SEG.= 6

, ,,.,,j i 1.1.11,1 ,1

•von Karman

N= 512

SEG.= 6

von Karman

N= 512

5EG.= 6

von Karman

N= 512

SEG.= 6

Wy

ilL.

—von Karman

N= 512

SEG.= 6

'rc

—von Karman

N= 512

SEG.= 6

•von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

10~

8

10° 10° 10

,-2 10°

K = u/V

Figure A.166. Normalized auto-spectra of gust velocities, Flight 6, Run 24.

A. 206
108

10-z

ioz

- 10°

•e10*

rt

 10°

N= 512

SEG.= 6

WXCL

*>*

N= 512

SEG.= 6

r +** WYCL

N= 512

SEG.= 6

N= 512

SEG.= 6

XRC

N= 512

SEG.= 6

N= 512

SEG.= 6

*

S

N= 512

SEG.= 6

WXRL

N= 512

SEG.= 6

WYRL

+4*

N= 512

SEG.= 6

WZRL

1Q8

10° 10~8

/c =

10° 10'810°

Figure A.167. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 24.

A. 207
w w

10*

•e10~a

108

•e10*

W XW Y

10

-z

10° icrz

 10°

/c = u/V (

10

,-2 10°

Figure A.168. Two-point cross-spectra of gust velocities, Flight 6, Run 24.

A. 208
ORIGINS- PAGE IS

OF POOR QUALITY

TABLE A.42. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 24.

START TIN! • 53490.2614 STOP TIHE • $3537,606*

2

3

4

~ 5

_ 6

~e"

9

-.10

_.ll

U3

14

15

16

17

18

19

20

21

22

23

_24

~26

27

28

29

30

_31

32

.33

35

36

37

33

. 39

40

41

42

L '•I

~47

48

49

50

~51

~53

54

55

56

~57

58

CHANNEL

PHI OQT

ACCL N CG

THETA DOT

THETA

PHI

DEL PSI 1

PSI 2

DEL PSI Z....

ACCL N LT

ACCL N RT

ACCL X CG

ACCL Y CG

ALPHA CTR

BETA CTR

TEPP I

TEMP P

ACCL Z INS

ALPHA RT

BETA RT

ALPHA LT

BET A LT

PSI DOT

TFfP TOT

OC LT

OC CTR

OC RT

PS

TEMP IPT

0 TO G

8 TO D

LONG

LAT

TPK ANG

HOG

VE

VN

ALTITUDE

TENPC

Eu WNO SPO

MS WNO SPO

WIND SPEED

yir.n OIR?C

AISSPEE C R

TlRSPjEEO l_

DFLTA ALT

INRTL OISP

UG RIGHT

UG CENTER

UG LEFT

VG RIGHT

VG CENTER

VG LEFT

WG RIGHT

WG CENTER

UG LEFT

._ UNITS

RAD/SEC

G UNITS

RAO/SEC

RAO

RAO

DEGREES

DEGREES

DEGREES

DEGREES .

G UNITS

G UNITS

GUN ITS

G UNITS

RAD

RAO

DEC F

DEC F

G UNITJ.

RAD

RAO

RAD .

RAD

RAO/SEC

OE6 C

PSIO

PSIO

PSIO

PSIA

OEG C

HETERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREES

M/5EC

M/SEC

HETERS

METERS

H/SEC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

H/SEC

H/SEC

HIGH

.050

-.986

.039

.086

.045

136.509

.053

495.940

.. -.126

1.739

1.643

.098

.173

.023

.018

98.444

91*444

1.222

.042

.059

.051

.017

.031

31.293

.818

.802

.830

11.616

20.914

8760761.056

80.391

-104.820

39.987

135.290

2.373

88.305

-76.750

1.970

25.810

32.397

-12.515

37.35P

311.633

109. ?92

107.457

106.938

6.242

4.793

2.731

2.261

2.438

2.041

2.518

2.618

2.832

2.692

3.459

LOW

-.087

-.988

-.025

.038

-.055

131.226

-2.656

493.123

_-5.389

.423

.515

.015

-.133

-.037

-.054

95.746

91.065

.750

-.019

-.013

-.026

-.056

-.016

29.520

HEAN

-.00318

-.98774

.00572

.06000

-.01664

_L33. 89999

-1.42388

494.50336

-2.61626

1.01135

1.02330

.05311

,01089

-.01071

-.02055

98.07926

91.26768

. . 1.00186

.00505

.01801

. .01110

-.02454

.00317

30.35857

RMS

,01687

,98774

.00913

.06166

.02243

_1H,91222

1.59390

_494. 50367

3.34503

1.01892

1.03104

.05519

_.- .04354

__ ,01363

.02281

98.07963

91.26788

1.00357

.01114

.02008

.01484

.02625

.00784

30.36105

.620 ,73412 .73582

.615 .71910 .72077

.637 .74591 .74763

11.573 11.59746 11.59746

16.632 19.64369 19.6655P

8754631.411**********************

80.320 80.35594 80.35594

-104.906 -104.86368 104.86389

39.923 39.95447 39.95448

132.816 133.85318 133.85556

2.320 2.34565 2.34569

81.507 85.50226 85.52?41

-85.467 -82.10193 82.15584

1.940 1.95283 1.95285

24.442 25.18711 25.18952

20.651 27.57554 27.63905

-22.771 -18.19812 18.31452

26.3EO 33.CP414 33.1562P

293.236 303.3C374 303.39839

96.C86 103.71868 103.77746

94.423 101.67765 101.93557

94*766

-23.889

-24.781

-3.189

-3.434

-4.214

-3.318

-3.282

-3.194

-3.359

-3.135

-4.147

__10e, 91350

-11.06568

-11.96518

.00000

.00000

.00000

.00196

.00098

.00445

.01311

.01606

. .01627

_102.97162

14.00521

15.05785

1.17380

1.12940

1.16536

.85846

.89045

.93718

.98950

.95468

1.06854

POINTS.

3493

3493

3493

3493

3493

. 3493

3493

3493

_ 3493

3493

3493

3493

„ 3493

3493

......3493

3493

3493

3493

3493

3493

3493

3493

3493

_ 3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

3493

A. 209
C

M

<U>to

"OJ 4J

O£ <O

CL.

O 4J

•r- .C

+J O)

O 'I-

<U i—

s_ u_

O O4J •a

1 t

IO

00 I— E

O> Q o

f— S CJ

v-^ <U

~ t** V)

*&• CO i— •• C

O

co r>.

>> LO Q t— Q

(6ap)

oI

CT> •o

^ <u

O =?O

LT> O

• I

<T>

CO

cu

un00voen(OQ. cn [ZcnQJ 3

C7)

A.210
o

o

0)

>

CO

CD

T3

(O

0)

•J3 •

•i- LO

o oo

o

O) 3

> O£

-)-> •>

co vo

cn+->

JC

O •!-

CO Ll_

CD

1- co

O OJ

•»-> O

co C

•rTM fl^

JZ S_

(1)

0) 4-

Ol

s_

o o o

(s/ui)

o o o o o

CM —" —< CM

I I

A.211
TABLE A.43. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 25.

I. Mean Airspeed (m/s)

104.2 103.0 104.8

II. Standard Deviation of

Gust Velocities (m/s)

CT

WXL

3.49

<T

W,

xc

3.44

CT

WXR

3.50

WYL

5.92

a

w.

YC

6.00

a

WYR

6.04

III. Standard Deviation

of Gust Velocity

Differences (in/s)

HCL XRC XRL

CT

WZL

2.43

<7

W,

zc

2.21

V

WZR

2.26

0.97

0.94

1.05

0.91

0.95

1.18

XCL XRC XRL

1.02

1.06 . 1.19

IV. Integral Length Scale (m).

\c

YL YC

1004 1014 1055

2014 1940 2002

258 261 247

A.212
1.0

R

C

L

i \ r~] i i i r

R N

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.171. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 25.

A.213
a

.2

'o

o

u

a

o

3

JS

"v

fco

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.172. Single-point auto-correlation coefficient of gust velocities

Flight 6, Run 25.

A.214
c

0>

V

o

B

O

O

c_>

I

o

I

O

E1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.173. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 25.

A.215
b

\

s

102

10°

•von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

—von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

Wy

11,1 , , MM.ll

—von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

Wy

von Karman

N= 512

SEG.= 5

•von Karman

N= 512

SEG.= 5

10~8 10° 1Q-* 10°

K = a/V

10"

3 10°

Figure A.174. Normalized auto-spectra of gust velocities, Flight 6, Run 25,

A.216
10s

rt

 1°°

108

b""

\

s

10-

108

- 10°

N= 512

SEG.= 5

WXCL

...... J

N= 512

SEG.= 5

WYCL

+ N= 512

SEG.= 5

N= 512

SEG.= 5

WXRC

N= 512

SEG.= 5

WYRC

N= 512

SEG.= 5

ZRC

N= 512

SEG.= 5

N= 512

SEG.= 5

WYRL

,1

N= 512

SEG.= 5

WZRL

10~8 10° ID"8 10°

K = u/V (in'1)

1Q~ 10°

Figure A.175. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 25.

A.217
w

x

w

z

10a

10~a

IT

rr . •

—LL

—-LC

—LR

W XW Y

II mill ,,,,.,J .M,,J IMM.J

sT

?r

10

^ 10

—CL

—-CC

—CR

•eio-

>*.

•e«"

rr

10

10 rf

9-r

LL

—-LC

LR

w y w z

IT /--

-LL

-LC

i iiirnil i I Mini! i i iitml

—CL

TMCC

CR ^

—RL

—-RC

llllmJ ....... 1 1 ...... J ...,.,1

10

-8 10° 10° 10~8

10°

K = <y/V

Figure A.176. Two-point cross-spectra of gust velocities, Flight 6, Run 25,

A.218
TABLE A.44.

ORIGINAL PAGE US

OF POOR QUALTnr

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 25.

START TIME •. 53557.496* STOP TINE • 3 36.30 .1216

CHANNEL. UNIT

2 PHI DOT RAO/SEC

3 ACCL N CG C UNITS

4 THFTA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI I

9 PSI 2

10 OEt PSI 2

11 ACCL H IT

12 ACCL N RT

Il3 ACCL. X CG

!<• ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TE*P I

14 TEPP P

19 _ACCL I INS

20 ALPHA RT

21 BETA RT

2Z ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TCT

26 OC LT

27 CC CTR

23 OC RT

29 PS

30 TEMP IRT

31 0 TO G

32 B TO 0"

33 LONG

34 LAT

35 TPK ANG

36 HOG

37 Vf

39 VN

39 ALTITUDE

«0 TEMPC

<•! f * UNO SPO

*? NS yNO SPO

43 NINO SPEED

44 WIND OIPEC

<.5 AIPSPEE O R

' 46 AlfiSPFFO C

47 AIRSPEED L

40 DELTA ALT

49 INRTl DISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 UG RIGHT

57 KG CENTER

53 VG LEFT

RAD/SEC

RAD

RAO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

PAD

RAD

DEC F

DEC F

G UNIIS_

RAD

RAD

RAO

RAD

PAD/SEC

DEC C

PSIO

PSIO

PSIO

PSIA

OEG C

METERS

DEGREES

DEGREES

DECREES

DEGREES

RADIANS

P/SEC

M/SEC

KM

DEGREES

KNOTS

KNOTS

KNOTS

DEGREES

M/SEC

M/SEC

M/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

S HIGH LOW

.109

-.988

,070

.090

.038

1*9.190

6.431

507.909

6.196

2.736

2. 265

.145

.151

. .079

.060

98.444

91.444

1.795

.082

.121

.113

.054

.066

33.065

.845

.825

-.135

-.988

-.064

.018

-.125

140.736

-1.680

500.164

-1.919

-.083

.018

-.007

-.136

-.065

-.142

95.929

91.265

.608

-.056

-.102

-.049

-.130

-.068

29.914

.565

.543

MEAN

-.00375

-.98774

,00603

.05098

-.03005

:i44.6234L

2.11333

503.73375

1,88821

.. 1,01202

1.02362

.05526.

.00408

_. -.01377

-.03344

98.21106

91.37498

1.00183.

-.00168

.00425

.00186

-.03708

.00290

31.86240

.74907

.73174

RMS PQ

.03066

.98774

__ ,01634

.... .05322

.04408

144.63336

2.69405

503.73639

2.52022

_1.04704

1,05658

.05987

.04809

._; ,02197___

.04455

98.21144

91.37502

1.01066

.01963

.02675

.01953

.04583

.02161

3i. 87291

.75134

. .73395

.853 .570 .75797 .76026

11.633 11.580 11.59788 11.59789

24.408 20.320 22.07959 22.10369

8766774.6438762053.901**********************

80.463 80.406 80.43367 80.43367

-104.734 -104.802 -104.76930 104.76930

39.909 39.853 39.6P029 39.68029

141.867 132.540 136.54180 136.58133

2.593 2.449 2.51593 2.51611

86.019 69.613 79.65717 80.06585

-77.655 -89.946 -84.04857 84.12690

1.965 1.926 1.95254 1.95256

C 27.568 25.295 26.57718 26.58160

53.936 17.553 43.46234 44.04142

16.612 -30.114 2.55542 11.54064

55.718 20.662 ~45.1C352 45.52837

314.974 250. 5b3 268.41385 268.90716

111.144 91.116 104.75630 104.84020

109.349 89.006 102.97022 103.05066

. 110.652

10.091

6.261

10.943

11.107

10.490

..: 17.581

16.352

16.068

6.950

6.177

7.278

90,769

-26.596

-25.908

-5.952

-5.538

-6.930

-8.071

-7.992

-7.615

-9.461

_ -9.422

-9.867

104,15521

-2.40713

-2.60415

* 00000.

.00000

.00000

.02554

.03411

.03025

-.06281

-.05586

-.06514

104,23705

9.55184

10.05822

3.55011

3.49711

3.56121

5.81679

5.74169

5.71047

2.16809

2.12456

2.31192

IM1S_

2924

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

2929

?929

2929

2929

A.219
0)>OC 1

0a,

co •«-

»

•M 0»

O ••-

V r— s_ u.

•r- O O-M -3

o

«*•

00 I— c

O> Q o '— s: o

•—' o

' tn 10

*a- m

'" •* vo

>» LD

d> O> (O

•M S 1-

<d ••- a

Q I— Q

o>

ooo

oooGO

1 1

(6ap)

ooor^

s

1 Mh

-( o»

•o

. o»

O 3 I -fc.o

t-3O

••->OooooVO

_ in

if)t—

ro

oo

QJ

un

ooom

CMC01cooM-c(OQ.

/

<CSA. 220
o

<u

w

V

g

o

o

CU

en

-o

c

cu

O CM

O

'CU 3

vo

4- on

O •--

cu

•r— •*

S- in

O CU

4-» O

V> C

•r- CU

-C i.

CU 4-

00

cu

01

(s/ui) paadg

A.221
TABLE A.45. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 26.

I. Mean Airspeed (m/s)

R

107.3 106.2 108.0

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

Standard Deviation of

Gust Velocities (m/s)

a

W

XL

2.56

a

W

YL

5.06

a

W

ZL

2.00

a

wxc

2.53

a

W

YC

5.14

cr

wzc

1.89

CT

W

XR

2.56

a

WYR

5.11

a

W

ZR

2. 10

0.88 0.96 1.21

IV. Integral Length Scale (m).

XCL HRC XRL

0.87 0.92 0.92

709 769 753

CL

0.95 1.00

ZRL

1.05

1706 1699 1734

343 304 291

A. 222
\ I 1 I 1*1 I 1 I

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.179. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 26.

A.223
O

u

a

o

S-,

O

U

I

O

1.

0.

-1.

 Lr

WXR

I I T =d

< L

0.

-1.

0.

WZL

1000. 2000. 3000.

Spatial Lag ,S=V"''m)

1000.

Figure A.180. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 26.

A.224
1. WXRC

_ L

WXCL

WXRL

a

.2

o

CD

O

O

a

o

•3

a

1

o

i

3-

o

CU

o

-1.

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

WYCL

1

NYRL

i i

WZRC

=j~-=

WZCL

_i_ ^^-—i

WZR.L

"5000.

Figure A.181. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 26.

A. 225
b

i?

108

10°

lo-t

r

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

I . III..J i iiiuill I i. I

von Karm&n

N= 512

SEG.= 5

,i,l i iiimil i i i mi

von Karman

N= 512

SEG.= 5

Wv

•von Karman

N= 512

5EG.= 5

N,r

, 11,,m| | i i i nnil

von Karman

N= 512

SEG.= 5

'XR

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

!ZR

10,-8 10° ID'8

K = U/V

10° 10- 10°

Figure A.182. Normalized auto-spectra of gust velocities, Flight 6, Run 26,

A. 226
10Z

6"

6"

10-8 r

102

io

-z

10"

r

' N= 512

f „ SEG.= 5

r * * WXCL

:

r *•*

* , ,,,„„) i i i , ill i II mil

N= 512

f SEG.= 5

r

 + + WYCL

r \

• , , ,,,,,J , IIMlJ 1 I ,11,1,1

|

'r- + N=

 512

f SEG.= 5

i- **+ ui r ^ WZCL : ^*i-<p-«-f

r

r

 **»

 Afct

: ^fc

r i

r

i I riuiJ i iiiinJ i i i n t)[| i i iiitii

r

N= 512

1 SEG.= 5

I * \++

 W*RC

r +^*

-' \ r %

r

" , ,,,,,i,l , iiiiml i minil i ,,,„„

N= 512

f SEG.= 5

f * WYRC

B~ "*"

[ ^

r

 + N=G512s

r

 + \ + WZRC

r *^

f ^

r

1 III, MM 1 IIIIIIH 1 IIIMIll 1 IMIII

r

N= 512

1 SEG.= 5

: ***•

r \

r

" 1 ,,l I I

N= 512

[ + SEG.= 5

f . * WYRL

; \

—

" , ,,,,,,,1 1 1 , ,,,„„!

f *' SEG.= 5

r

 +X WZRL

\

+i

r

i i i mill i t i mill i i i MUM i i i mm

10~8 10° 10~8 10° 10~8 10°

ic =

'Figure A.183. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 26.

A.227
W Y W Z

10

•6-

-

10*

10°

ic

2

10~2 10°

* = u/V (m'1)

10

,-e 10°

Figure A.184. Two-point cross-spectra of gust velocities, Flight 6, Run 26,

A. 228
ORIGINAL PAGE m

OF POOR QUALITY

TABLE A.46. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 26.

START TINE • 53675.4568

CHANNEL UNITS HIGH

2 PHI OdT

3 ACCL N CG

~ 4 THETA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

" "9 PSI 2

10 DEL PSI 2

11 ACCL N IT

12 ACCL N RT

13 ACCl X CG

14 ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEKP I

18 TEKP P

19 ACCL Z INS

20 ALPHA RT

~21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEfP TOT

26 OC LT

27 OC CTR

26 OC RT

29 PS

30 TEHP IRT

31 0 TO G

~3? B TO 0

33 LONG

34 LAT

35 TRK AN€

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEMPC

41 EU UNO SPO

42 NS UNO SPO

43 WIND SPEED

"*4 WIND 01PEC

<.5 AIRSPEE D R

«••> AltSPCt D C

" 47 AIRSPEED L

48 DELTA ALT

49 INPTL OISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

96 tfG RIGHT

57 UG CENTER

5* UG LEFT

RAD/SEC

G UNITS

RAD/SEC

RAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

R AO

DEC F

DEG F

G UNITS

RAD

RAD

RAD

RAD

RAD/SEC

DEC C

PSIO

PSIO

PSID

PSIA

DEG C

METERS

DEGREES

DECREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

DECREES

P/SEC

M/SEC

M/SEC

METERS

METERS

H/SEC

H/SEC

H/SEC

M/SEC

M/SEC

H/SEC

H/SEC

M/SEC

M/SEC

.109

-.988

.060

.074

.032

313.326

3.345

314.995

3.021

2.275

2.206

.110

.177

.067

.037

96.084

91.621

1.657

.055

.064

.086

_ .021

.074

33.065

.905

STOP

LOU

-.107

-.986

-.053

-.019

-.109

305.579

-4.149

307.947

-4.330

-.026

.175

-.011

-.146

-.078

-.129

93.227

91.265

.470

-.063

-.080

-.061

-.129

-.045

30.505

.663

.TIME • 53743.5568

MEAN RMS PO

-.00341

-.98774

.00658

.04090

-.02083

309.16925

-.76181

?11.09599

-1.00904

1.01383

1.02757

.03383

.00589

. ...-.0192Q

-.02649

96.99723

91.44358

1.00402

_ -.01241

.00678

. -.01094

-.03321

.00503

32.15773

.79432

•02931

.96774

.01497

.04456

.03556

309.19392

1.85405

311.10036

1.94879

1.04506

1.05803

.03663

.04839

.02396

,03657

96.99994

91.44358

1.01315

.02028

.02166

.01662

.03928

.01958

32.16451

.79513

.888 .658 .77808 .77880

.920 .655 .80567 .80639

11.611 11.535 11.56983 11.56984

24.408 21.904 23.30971 23.31669

8765643.2268762044.147**********************

~ "80.455 80.411 "80.43301" 60.43301

-104.746 -104.799 -104.77254 104.77254

39.894 39.849 39.87229 39.87229

316.987 313.660 317.70011 317.70310

5.499 5.366 5.42571 5.42580

-64.173 -67.527 -65.61357 65.61953

76.007

1.996

27.345

38.722

21.505

39.896

351.395

115.055

113.053

114.113

4.296

0.000

6.705

5.641

5.876

9.401

6.971

8.997

8.218

9.047

9.596

63.761

1.943

25.240

1.606

-26.745

10.744

232.222

97.503

97.754

96.048

-48.594

-47.135

-7.318

~-7. 190

-6.925

-15.906

-15.141

-15.200

-7.543

-6.364

-6.127

72.16454

1.95814

26.54256

24.60439

.98975

-27.17396

270.S2836

108.01910

106.1*533

107.26962

-33.88065

-34.82629

-.00000

-.00000

-.00000

.01078

.01064

.01027

-.02672

-.02384

• -.02578

72.26490

1.95816

26.54946

25.41093

10.71669

27.57916

272.21699

108. 04203

1061. 21847

107,29579

35.25742

36.15133

2.67094

2.63426

2.68457

5.86964

5.89164

5.82879

2.05904

1.85112

1. 95965

LSU2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

2724

A.229
"oj -w

o£ <o

0.

C

o •«->

••- -C

+•» 0>

O H-

<U i—

i. u.

o o

I I

J I I I

o

r«~

I

0)

TJ

• a»

^j- -o

O 3

LO

O

« Lf)

^ CM «dr— •• O

UD i—

>»tn

rO i—

a> ai to

•M s £

<O T- 3

Q t— Q

10

a.

C7>

O

o

I

t.

0)

O

O

O

a>

o

o

o

00

o

o

o

o

o

o

VO

r^

• i

co

CO

CO

(U

LO

CO

o

o

o

Lf>

7 f ,....>..// --•'•' __~-

a:

CT)

o

4J

to

O

c

fO

a.

en

LT)

00

ai

5-

cn

A. 230
o

(M

O

O

tvl

3

&

O

CO

O

CO

O

o

</>

3

O)

T3

<O

OJ

•r- r--

o oo

o

r— C

O) 3

> on

CO CO

<+- cn

o ••-

l/l LJ_

OJ

•p— ft

S- CO

O O)

+J (J

co c:

•r- QJ

0)

<U C|_

E MOO

O)

S3

Ol

O O O O O

(M r-l ^ (SJ

I I (s/ui)

O O O O O

CSI —i —i CM

I I

A.231
TABLE A.47. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 27.

I. Mean Airspeed (m/s)

R

105.0 104.0 105.9

Standard Deviation of

Gust Velocities (m/s)

W.XL

5.06

(7

W.xc

4.94

(7

W.XR

4.96

a

w.YL

<7

W,

YC

a

w.YR

312.16 309.15 314.62

III. Standard Deviation

of Gust Velocity

Differences (m/s)

""in

0.47 0.51 0.64

w,ZL

0.82

W,ZC

0.83

W,ZR

0.83

IV. Integral Length Scale (m).

XCL HRC

5.66

0.46

3.37

0.51

3.10

XRC XRL

0.53

XL

1913

222

XC

1891

Y

220

XR

1914

224

7T 7f* "7T?

303 1060 443

A.232
1.0 i i i i | i i i r

W

5. -5. 5. -5.

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.187. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 27.

A.233
c

.•d

<J

<U

o

a

o

o

u

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.188. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 27.

A. 234
WXRC

a

.80

V

o

o

a

o

bo

u

I

o

B

'8

I

0. 1000. ZOOO. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.189. Two-point auto-correlation coefficient of gust velocities

Flight 6, Run 27.

A.235
•von Kannan

N= 512

SEG.= 8

von Karman

N= 512

SEG.= 8

von Karman

N= 512

SEG.= 8

von Karman

N= 512

SEG.= 8

—von Karman

N= 512

SEG.= 8

hrc

von Karman

N= 512

SEG.= 8

W,

,,||| I ,,,.||||

von Karman

N= 512

SEG.= 8

von Karman

N= 512

SEG.= 8

W,

von Karman

N= 512

SEG.= B

i i i mill . iiiiiiil ,1

10

,-a 10° 10~8

 10°

K = u/V (m

10~ 10°

Figure A.190. Normalized auto-spectra of gust velocities, Flight 6, Run 27

A.236
IO8

 r

b~^

b~ 10°

10-

8

IO8

r 10°

* io-8

108

6"^

b~ 10°

•&• 1Q-a

N= 512

SEG.= 8

WXCL

N= 512

SEG.= 8

•

N= 512

SEG.= 8

WZCL

N= 512

SEG.= 8

WXRC

N= 512

SEG.= 8

N= 512

SEG.= 8

N= 512

SEG.= 8

WXRL

N= 512

SEG.= 8

+*

N= 512

SEG.= 8

+ .-Hs

,il i imiiil I .,.,.1,1 . ,,,„„• , iii,ml ml I i ii,i,nl

10~

8

10° 0~8 10°

K = cj/V (m'1)

io~810°

Figure A.191. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 27.

A.237
102

•6-

ioa

108

— 10°

io2

10*

10°

1(T8

10

-2

10° KT8

 10°

K = u/V (m"1)

10" 10°

Figure A.192. Two-point cross-spectra of gust velocities, Flight 6, Run 27

A.238
TABLE A.48. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 27.

START TINE -. 53789.3720 STOP TINE • 53869,6*70

2

3

4

5

6

7

~ B"

9

10

11

13

.1 3.

1*

15

16

17

16

19

20

?1

22

23

2*

25.

26

27

28

29

30

31.

32

33

3*.

3b

26

37

•>f>

3<J

-.0

t, i

<.?

<•!

•;<.

«.5

46

4,7

43

49

50

51

52

53

54

55

56

57

56

CHANNEL

PHI DOT

ACC L N CG

THETA DOT

THETA

PHI

PSI 1

DEL PSI 1

PSI 2

DEL PSI 2~.

ACCL N LT

ACC L N RT

ACU X _CG

ACCL r CG

ALPHA CTR

BETA CT R

TEMP I

TEMP P

ACCL Z INS

ALPH A RT

BET A RT

ALPH A LT

BETA LT

PSI DOT

TEMP TOT

OC LT

QC CTR

OC RT

PS

TEMP IRT

0 TO 6

6 TO D

LONG

L A T

TRK ANG

HOC

VF

VN

ALTITUDE

TEKP C

Etf WHO SPD

KS WHO SPO

talr.O SPEED

WIN D OI»cC

AIPSPEF O R

AfliSPEEO C

AIRSPEED L

DELTA AIT

INRTL DISP

UG RIGHT

UG CENTE R

UG LEFT

VG RIGHT

VG CENTER

VG LEFT

UG RIGHT

UG CENTER

WG LEFT

UNITS

RAD/SE C

G UNITS

RAD/SEC

PAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAO

PAD

DEC F

DEC f

G UNITS_

PAD

PAD

RAD

R AD

RAO/SEC

DEG C

PSID

PSID

PSIO

PSIA

DEG C

METEPS

DEGREES

DEGREES

DEGREES

DEGREES

PADI4*tS

r/sf c

M/SE C

KM

DEGREE S C

KNOTS

KNOTS

KNOTS

TfcGBEE S

M/SE C

f/SEC

M/SEC

METERS

METERS

M/SEC

M/SE C

M/SE C

M/SEC

M/SE C

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.066

-.968

.0*3

.103

.055

359.118

1.875

359.698

14.988

1.685

1.565

.110

.193

.020

.025

98.444

91.797

1.316

.041

.052

.047

.013

.027

31.687

.669

.846

LOW

-.080

-.986

-.025

.006

-.063

-.155

_ -1.709

396.176

-.713

.322

.531

.009

-.129

-.041

-.040

90.709

91.444

.763

-.035

-.002

-.034

-.045

-.023

29.619

.624

.625

.885 .660

11.606 11.570

21.314 16.632

fl7$*770. 27887.61829. 568

60.399 80.391

-104.793 -104.808

40.015 39.9P5

8.651 5.685

6.283 .000

. 15.055. . . 8.977

99.634

1.972

25.731

28.263

-6.385

31.009

321.603

112.886

110.451

111.889

15.352

13.410

9.502

10.043

11.1*3

2*7.305

242.017

2*5.086

3.231

2.294

*.019

89.985

1.945

24.958

14.619

-22.965

18.737

286.104

97.825

95.249

95.175

-11.584

-11.127

-8.811

-8.337

-8.695

-*60.057

-452.4*3

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-2.923

-2.858

-3.056

MEAN RMS

-.00303 .01863

-.9877* .9877*

.005*0 .01003

.05186 .0545*

-.01397 .02618

iiO. 30769 198.56757

.11985 .73436

357.677*5

4.62859

1.00869

1.022*6

.05993

.01414.

-.01807

-.01112

95.52146

91.56511

1,00078..

-.00807

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• -.00684

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.00354

J.Q.6627Q.

.76529

.75061

.77867

11.5936B

20.34004

*J***********

80.39505

-104.80091

39.96917

7.28535

2.21048

12*34130.

96.34134

1.95546

25.2863 0

20.70162

-14.95049

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305.63957

105.93768

104.0530?

105.03829

-1.36348

-1.63479

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-.00000

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2.39228

2.23621

2.09729

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357.8781*

.PUIMIi.

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6.3207* *171

1.01793 *171

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.04673 4171

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.01561

95.53396

91.56515

1,00 309

.01338

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.01900

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_JLD_. 68651

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4171

4171

4171

4171

4171

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... *171

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4171

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11.59368 4171

20.34497 4171

<»*»**»**** *17l

80,39505 4171

104.60091 4171

39.96918 4171

7.33214 4171

3.71756 4171

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96.384s2

1.95547

25.28666

20.6093*

15.29264

25.8242 6

305.71820

106.01335

104.1289?

105,11803

. ...7.1*911

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4.956*3

4.93419

5.05634

315,03190

309.54880

312.55804

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4171

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A. 239
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A.241
TABLE A.49. Average Turbulence Parameters and Integral Length Scales

Flight 5, Ri)n 20. •

I. Mean Airspeed (m/s)

R

106.2 105.1 106.9

III. Standard Deviation

of Gust Velocity

Differences (m/s)

0.43 0.44

HCL XRC

0.39 0.35 Q,38

0.42 0.43 0,49

II. Standard Deviation of

Gust Velocities (m/s)

<7

WXL

0.70

a

WYL

0.79

a

WZL

0.68

V. Integral

a

w

xc

0,65

WYC

0.82

a

w

zc

0,71

Length

a

WXR

0.72

WYR

0.80

a

wWZR

Q.72

Scale (m)

^TIT ^fttT iW

•VAJI V j AvPx Y" ' AJDv

415 402

869

"

r

ZL

853

847

zc W"^ !• '

858

642

862

A. 242
1.0

0.8

0.6

is

cd

,0

2 0.4

Pu

0.2

0.0

C = Cente/ W

k* Left

 x

Tl

1 II I I I \ I T

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

i i i \ I i I i

1-RC

2-CL

3-RL

AW

5. -5. 5. -5.

Normalized. Velocity Differences (Standard Deviations)

Figure A.195. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 28.

A.243
c

.p^

<J

o

u

a

o

<u

s*

b

o

y

1.

0.

-1.

-1.

0.

W XR

Wxc

NXL

j i i

WYC

WYL

WZR

. i 1 "•"•^ .1 i i ' i —i 1

Wzc

NZL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.196. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 28.

A. 244
1.

0.

WXRC

WXCL

c

.2o

• l-t

HH

**-!

0]

e

o

I

o

-tJ

R.(-i

O

(X

o

E-

_ I l_

_ L

_ L

-1.

0.

^ I ' - L.

I _L

i i

WXRL

WYRC

I 1 L

I i

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

_i I

WYRL

WZRC

_j i

WZCL

WZRL

Fiaure A 197. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 28.

A.245
b

1?

102

1Qo

1Q102

10°

von Karman

N= 512

SEG.= 4

.mil J I

—von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

llllj t I I unit I I I lUlll

von Karman

N= 512

SEG.= 4

Wy

nil i I 11 mil I i I mill I I I inn

—von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

Wzc

von Karman

N= 512

SEG.= 4

Wv

von Karman

N= 512

SEG.= 4

—von Karman

N= 512

SEG.= 4

10

-8

10° 1(T8 10°

« = u/V (m-1)

10~

2

10°

Figure A.198. Normalized auto-spectra of gust velocities, Flight 6, Run 28.

A. 246
108

6

b"

108

N= 512

SEG.= 4

WXCL

N= 512

SEG.= 4

N= 512

SEG.= 4

F

 + V WZCL

N= 512

+ SEG.= 4

•f

WXRC

N= 512

SEG.= 4

WYRC

N= 512

5EG.= 4

*V

N= 512

SEG.= 4

WXRL

N= 512

SEG.= 4

N= 512

SEG.= 4

10

-8

10° 10~8

 10°

K = w/V (m

10- 10°

Figure A.199. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 28.

A.247
108

10

-2

102

10°

lo-2

Ir

r

r

z

r

r

-

L

r — -C

r

f

r

r

r

r

:

r ~~

c

r •— »

r ^-\\

r

 x^<?\

r \\JP

Tr ^

~ i i niiJ i i iirnJ i |iiinil i i niiiil

rr

10°

io~8

—RL

—-RC

—RR

11 in J iiimj ii.innl iiiimil

io-z 10°

rr

rr

—LL

—- LC

—LR

sT

—-CC

—CR

J ,,,„„! ....... J , ,i,n,J

—RL

—-RC

—RR

rr ~~\

rr

10'2 10°

K = u/V (

10,-B 10°

Figure A.200. Two-point cross-spectra of gust velocities, Flight 6, Run 28.

A. 248
TABLE A.50. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 28.

START TIME • 5*081.562* STOP TINE • 54141.937*

2

3

~ 6

7

8

9

10

11

12

13

i*

15

16

17

18

19

20

21

22

23

2*

26

27

28

29

30

31

32

33

35

36

37

CHANNEL

PHI DOT

ACCL N CG

THETA DOT

THFTA

PHI

PSI 1

DEL PSI 1

PSI 2

DEL PSI 2

ACCL N LT

ACCL N RT

ACCL X CG

ACCL Y CG

ALPHA CTR

BETA CTR

TEMP I

TEMP P

ACCL Z INS

ALPHA RT

BETA RT

ALPHA LT

BETA LT

PSI DOT

TEMP TOT

OC LT

OC CTR

OC RT

PS

TEMP IRT

D TO G

B TO D

LONG

LAT

TRK ANG

HDG

VE

38 VN

39 ALTITUDE

*C TEMPC

*1 EU UNO SPD

*? NS VNO SPD

<.3 UINC SPEED

** hi NO OIREC

^5 UfSPEtC B

*7 AIRSPEED L

40 DELTA ALT

*9 INRTL DISP

50 UG RIGHT

51

52

53

5*

55

56

57

58

UG CENTER

UG LEFT

VG RIGHT

VG CENTER

VG LEFT

UG RIGHT

UG CENTER

UG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAD

R AD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAO

DEG F

CEG F

G UNITS

RAD

RAD

PAD

R AD

RAD/SEC

DEG C

PSIO

PSIO

PSIO

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

CEGFfES

f /SIC

M/SK

M/SEC

METERS

METERS

M/SEC

M/SFC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.036

-.182

• 0**

.068

.08*

161.518

5.*90

487.491

.903

1.514

1.488

.42?

.760

.203

.187

98.***

91.80*

1.213

.198

.053

.200

.162

.912

35.03*

.820

LOU

-.056

-.988

-.449

-.018

-.066

79.494

-4.656

406.168

-6.571

.438

-1.332

.021

-.136

-.079

-.073

.407

-18.414

-.243

-.072

-.016

-.076

-.059

-.234

29.601

.727

MEAN

-.00467

-.98741

-.01228

.03563

.00062

128.54818.

.15133

475.49316

-.64675

1.00894

1.04047

.09365

.11051

.00999

.00902

97.43101

83.85549

.99137

.01913

.01294

. .02354

-.00817

.12503

31.40757

.77946

RMS

.01391

.9875*

.0*879

" .0*020

.0356*

129.16212

2.16766

476.16863

.98265

1.01555

1.04906

.15983

.28255

.07688

.07161

97.47850

86.23968

,99321

.073*7

.01769

.07382

.0*156

.33226

_JljMO*3.

.77965

.799 .709 .76369 .76388

.831 .726 .79123 .791*3

11.615 11.583 11.59626 11.99627

20.119 -159.660 11.55175 21.00909

8770481.0118764833.677**********************

80.459

-104.711

39.990

125.060

2.213

108.840

-71.679

1.963

29.605

51.395

-14.185

72.408

3*6.253

109. *03

107.332

108.705

5.746

15.563

5.056

3.411

7.956

3.059

26.330

20.429

23.404

21.761

21.734

60.400

-104.787

39.950

. 123.843

2.156

106.061

-74.671

1.940

24.265

17.204

-70.334

**. 956

285. *29

102.502

101.281

102.56*

-16.7*6

-17.235

-2.084

-3.657

-2.992

-8.723

-5.038

-9.967

-13.532

-9.824

60.42964

-104.74898

39.96989

124.43135

2.16268

107.27685

-73.47960

1.95366

25.90867

40.18662

-28.37259

-51.90798

303.*1662

106.9*353

1C5. 10826

106.16297

-3.50797

-.47227

,00000

.00000

.00000

.2*306

.23813

.22*12

.00539

-.26181

, -.1597*

80.4296*

10*. 7*896

39.96989

124. 43186

2.18271

107.27996

73.48575

1.95367

25.9*98*

41. 15919

32.5D367

52.**585

303.87318

lOt. 9*884

10*. 11 319

106.16799

6.67720

10.28763

3.00323

.60706

3.11029

.98604

9.92128

4.37135

8.51901

7.96903

7.92025

POINTS

2415

2415

2415

2415

2415

2415

2*15

2*15

2*15

. 2*15

2*15

2*15.

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

... 2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2*15

2415_

2415

2415

2415

2415

2415

2415

._. 2415

2415

A.249
CO

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1 'I—

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«d- • 1 (T\

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(6ap)

(J

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tt» CJ (O

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co

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CM

c

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IM&.iaH

A. 250
o

o

ai

ns

to

ai

•t- en

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r— C

<U 3

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CT>-t->

<+- o>

O •!-

i- 01

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a;

o o o o o

cvj -, - ex.

(S/TII) pS9dg

o a o o o

CM T-I —i tM

I I

A.251
TABLE A.52. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 29.

I. Mean Airspeed (m/s)

106.1 104.9 106.7

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC

Standard Deviation of

Gust Velocities (m/s)

<7

W

XL

3.92

a

W

YL

2.21

a

W

ZL

2.42

a

wxc

3.82

a

W

YC

2.18

a

wzc

2.22

CT

3.84

a

W

YR

2.10

a

W

ZR

2.38

1.01

1.10

i.oa

XCL HRC

1.09

1.34

1.08

IV. Integral Length Scale (m).

592

\

599 592

1.17

"ZRC

 A¥ZRL

1.22 1.30

604 553 634

385 387 379

A.252
1.0 n I i i i i r

N

0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.203. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 29.

A.253
c

.r-l

<J

O

CJ

d

o

3

_a

"3

o

u

I

o

1000. 2000. . 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.204. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 29.

A.254
ti

"o

0)

o

c

o

o

o

I

o

c

•s

(X

I

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

-5000.

Figure A.205. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 29.

A.255
b

I

108

10°

io-'

10"

b

1?

10'

108

10°

10

-i

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

•von Karman

N= 512

SEG.= 6

•von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

\

von Karman

N= 512

SEG.= 6

10

-a

10° 1Q-2

 10°

K = <u/V (m

10

-z 10°

Figure A.206. Normalized auto-spectra of gust velocities, Flight 6, Run 29,

A.256
10* r

6""

6" 10°

10*

6

108

tT 10°

S

•5*

* 10-a

N= 512

SEG.= 6

N= 512

SEG.= 6

N= 512

SEG.= 6

N= 512

SEG.= 6

WXRC

N= 512

SEG.= 6

N= 512

SEG.= 6

ZRC

N= 512

SEG.= 6

WXRL

N= 512

SEG.= 6

WYRL

N= 512

SEG.= 6

WZRL

10

-8

10° 10~8 10°

K = u/V (m

10~8

10°

Figure A.207. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 29.

A.257
N

•6-

LL

LC

LR

F J I I ,1 i,,iml

—CL

—-CC

—CR

".„ 10°

w y w z

—LL

—- LC

—LR

—CL

—-CC

—CR

terr -x.>,

| f Illltll 1 H|<|||l | pllltll 1 1 MfllJ

10~

z

10°

,,„.; , i ,,,.ij A

10~B 10°

K = <j/V fm~r

r i i Html t i iiiml i 11 mm i nnrtJ

10'8 10°

Figure A.208. Two-point cross-spectra of gust velocities, Flight 6, Run 29.

A. 258
TABLE A.53. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 29. .

START TIHE 5*223.7177. STOP TIHE • 5*308.3177

CHANNEL

2 PHI DOT

3 ACCL «* CG

4 THETA COT

5 THETA

6 PHI

7 PSI 1

P DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCl X CG

14 ACCL Y CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

IP ff.ff P

)<> ACCL Z INS

20 ALPHA PT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 OC LT

27 OC CTR

28 OC RT

29 PS

30 TEMP IRT

31 D TO G

32 B TO D

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 Vt

33 VN

3<J ALTITUDE

40 TEfPC

<•! Erf WNO SPO

4? NS »ND SPO

43 ap.D SFEEO

4<, *ISD OIRE C

45 AIBSPEE O R

v-, AIRSPEE D C

47 AIRSPEED L

48 DELTA ALT

49 INRTL DISP

50 UG PIGHT

51 UG CENTER

5? UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 WG FIGHT

57 WG CENTER

58 WG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

PAD

DEC F

DEC F

G UNITS

RAD

RAD

RAD

R AD

RAD/SEC .

DEG C

PSID

PSID

PSID

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

CEGPEES

M/SFC

H/SEC

H/SEC

HETERS

METERS

H/SEC

H/SEC

M/SEC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.125

-.986

,OR5

.103

.087

190.048

3.962

5*7.691

3.756

2.07*

2.473

.126

.187

.065

.067

9S.163

91.984

1.57*

.07*

.091

.077

.056

.052

33.360

.966

.930

.975

11.596

23.456

8773441.229

80.527

-104.654

39.880

177.729

3.330

12.048

-97.244

1.984

24L159

6^1*51

7.713

64.683

303.414

118.726

115.965

118.119

1*,656

10.550

12.481

13.055

. 13.229

7.374

8.114

8.116

10.532

9.151

9.350

LOW

-.343

-.988

-.091

-.002

-.182

182.299

-3.679

540.298

-3.919

-1.267

-1.171

-.026

-.136

-.104

-.109

98.264

91.804

-.069

-.126

-.078

. -.114

-.113

-.054

30.407

.598

... .591

.613

11.553

18.086

8772509,760'

60.506

-104.660

39.798

173.066

3.190

4.379

-113.507

1.954

25.602

30.455

-31.148

30.917

260.922

94.750

93.058

93.632

-15.468

-15.089

-8.711

-7.920

-8.957

-7.754

-8.979

-7.961

-8.533

-6.631

-7.512

HEAN

-.003*4

-.9877*

.00619

.05159

-.00756

187.01269

1.050*1

5*4.80294

.62329

1.01063

1.02556

.03662

.00477

-.01834

-.02820

98.67065

.... 91.81465

-!oil81

. .00652

-.00798

-.03412

.00245

32.51286

.7762J

.75840

.785*8

11.57622

21.317*7

»**********'

60.51672

-10*. 65717

39.83760

176.34817

3.27725

6.81378

-106.733*1

1.96762

27.02289

46. 54551

—6.38143

47.53741

277.72412

106.69984

104.88739

106,079*3

-l.*7708

-.35223

-.00000

-.00000

-.00000

-.03696

-.03566

-.03855

.02071

.01828

.01657

RMS PJL

.0*356

,9877*

,01832

,056*3

.0380*

167.01805

1.73*03

5**, 80*62

.. 1,60931 ..

1,06*09

1.07778

.04606

.043*3

.02672

.03982

98.67095

91.81*66

1.01558

_ ,02397

.02578

._.. .02296 ...

..._ .04301

.02116

32.51760

.78074

,76267

.78991

11.57623

21.3567*

***********

60.51672

10*. 65717

39.83761

176.35187

3.27735

7,05962

106.87026

1.96762

27.02910

46.76113

9.58546

47.73347

277.86274

100.84328

105.02774

106.22622

6.02596

7,45477

3.73346

3.71257

3.80655

2.12556

2.22554

2.25526

2.40451

2.25173

2.44044

INT?

3384

3384

3384

3384

3384

3384

3384

3384

3384

3384

3384

338*

3384

3384

3384

3384

3364

336*

338*

338*

338*

338*

338*

3384

336*

338*

336*

338*

33€*

338*

338*

338*

338*

338*

338*

338*

338*

338*

3364

3384

3384

3384

3384

3384

336*

336*

338*

338*

338*

338*

338*

336*

336*

336*

336*

336*

336*

A.259
<

u><0 ^

•4J C7>

o •»-

<l) i—

5- U.

o o

4-1

•a

o

«3-

CM --~-o

2g H- C

•^ Q o --So «

 v

«d- in

r— "10

^ !£ co

^ •— co

Q) Q) IB

->-»£$_

* -i- 3

Q t— Q

i-3Ooot-a>

ooo

ooooo

OOo

r>. ooo

oI

0>

01

•o

00 „.

. Ol

«d- "O

C71 O

CO

ino

m.—

CO

CTi 00

to

(U

CVJ

oooin

"\ /

oCO

ceL U3S- oo>

•.—

Ll_

CTl O

CvJ <cCD

A.260
o

o

in

<U

•r- O

0 CO

o

i — C

01 3

> OL

>+- "01

O -rOl

•^- r»

S- CO

O QJ

-!-> O in c:

•^ dj

^: sO)

<D 4-

O

CM

<C

Ol

3

CD

O O O O O

(\J T-H ^ .(\|

I I

a o o a o

(M _-i —. (SJ

(s/ui)

A.261
TABLE A.54. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 30.

I. Mean Airspeed (m/s)

R

106.1 105.2 107.0

III. Standard Deviation

of Gust Velocity

Differences (m/s)

XCL XRC XRL

0.98

1.00

1.12

0.96

0.94

1.03

1.21

XCL XRC XKL

1.01

1.29

Standard Deviation of

Gust Velocities (m/s)

cr

3.04

a

WYL

4.72

CT

WZL

2.42

V. Integral

u

w

xc

3.01

CT

WYC

4.76

a

w

zc

2.40

Length

a

WXR

3.21

CT

WYR

4.73

CT

WZR

2.53

Scale (m)

\L

 VXC \R

930 955 972

LW L-|f L-ir

^YL V \R

2038 2004 2074

581 600 636

A.262
1.0 i i i i i i r

W

n i i i | i i i r

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.211. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 30.

A.263
c

<u

'3

<u

o

u

a

o

t-,

o

u

I

o

1.

0.

-1.

 L

-1.

0.

WXR

NXL

W YL

WZR

Wzc

NZL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.212. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 30.

A.264
1. WXRC

I

01

O

U

a

o

1

t

o

u

I

o

-

I

(X

I

o

-1.

0.

_J I

I rWXRL

i

WYRC

WYCL

WYRL

WZRC

WZCL

WZRL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.213. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 30.

A.265
102

10°

ID'2 r

"b

I

10*

10°

10'

\

I

10*

10"

10-

von Karman

N= 512

SEG.= 6

,J

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

innl I MMMll

von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

W7

von Karman

N= 512

SEG.= 6

Wv

ni.il

von Karman

N= 512

SEG.= 6

I I I mm I ) i mill I I 11 HIM ill nntl

—von Karman

N= 512

SEG.= 6

10~a10° l(Ta

 10°

K = u/V (m-1)

10°

Figure A.214. Normalized auto-spectra of gust velocities, Flight 6, Run 30.

A. 266
102

6

b"

•e- - 10-zz i

io2

6"

\

"5T

IO8

ioa

N= 512

SEG.= 6

WXCL

nrtt i i i mill i i i mill

N= 512

SEG.=6

N= 512

SEG.= 6

ill i i i m in i i i mill

N= 512

SEG.= B

WXRC

N= 512

SEG.= 6

N= 512

SEG.= 6

mini i i niiiil i i i mitl

N= 512

SEG.= 6

WXRL

ml i i i mill i i i mill i i i mill

N= 512

SEG.= 6

^YRL

N= 512

SEG.= 6

ZRL

*

1Q-8 10° 1(T2 10°

K = w/V (m

10

,-B 10°

Figure A.215. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 30.

A.267
10

-Z

10° 10° 10" 10°

ic = u/V

Figure A.216. Two-point cross-spectra of gust velocities, Flight 6, Run 30.

A.268
TABLE A.55. List of All Parameters Measured and iheir Range of Values,

Flight 6, Run 30.

START TIME • 54396.3579 STOP.TINE • 5*4*1*657?

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DCT

5 THETA

6 PHI

7 PS1 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI I

11 ACCL H LT

1? ACCL N RT

13 ACCL X CG

14 ACCl r CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

18 TEMP P

J9 ACCL 1 INS_

20 ALPHA PT

21 BETA RT

22 ALPHA LT

23 BETA LT

2*. PSI DOT .

25 TEMP TOT

26 QC LT

27 OC CTR _

?8 QC PT

29 PS

30 TEMP IRT

31 0 TO G

32 B TO D

33 LONG

34 LAT

35 TSK ANG

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEHPC

41 CU UNO SPD

42 NS UNO SPD

«3 WIND SPEED

44 WIND OIRE C

<-5 AIBSPEI O R

••i AlBSPEf O C

47 AIRSPEED I

49 DELTA ALT

49 INRTL DISP

50 UG RIGHT

51 UG CENTER

52 UG LEF T

53 VG RIGHT

54 VG CENTER "'

55 VG LEFT

56 WG PIGHT

57 WG CENTER

58 UG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAD

PAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAO

R AD

DEG F

CEG f

G UNITS

RAD

RAD

RAD .

RAD

RAO/SEC

CEG C

PSID

PSID

PSIO

PSIA

PEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

P/SEC

H/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

D?GPEES

K/SEC

p/src

M/SEC

METERS

METERS

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.132

-.986

.079

.103

.136

320.373

3.198

319.565

3.079

2.448

2.093

.102

.159

.032

.067

96.804

92.163

1.443

._ _ . .034

.093

.049

.046

.076

33.360

.903

.669

.916

11.615

24.408

6774265.4081

60.536

-104.634

39.662

325.455

5.582

-53.718

78.243

1.996

26.254

52.127

11.029

52.259

329.356

115.263

111.922

113.990

15.399

10.377

8.971

7.670

6.616

12.424

12.930

:

 13.307

5.660

5.923

6.993

LOW

-.135

-.988

-.060

-.001

-.110

306.749

-5.824

310.764

-8.300

-.955

-.519

-.011

-.169

: -.106

-.121

97.904

91.980

-.044

-.101

-.087

-.119

-.121

-.074

JO. 407

.642

.643

.671

11.535

18.086

J770427.366'

80.489

-104.692

39.606

317.116

5.420

-61.446

66.133

1.941

24.815

15.857

-28.177

16.465

248.534

99.025

96.971

96.826

-40.356

-44.998

-8.132

-6.339

-6.351

-11.131

-11.465

-11.410

-9.138

-8.781

-8.637

MEAN

-.00150

-.98774

.00564

.04840

-.02117

314.24767

-1.64363

314.87559

-2.92570

1.01079

1.01890

.04816

.00497

-,01998

-.02873

98.57292

91.99004

.99784

-.01528

.00540

-.01486

-.03372

.00348

32,04335

.78101

.76344

RMS

.04142

.98774

.01666

.05292

.04347

314.26091

2.46791

. 3J4. 88076

4.09844

1.04968

1,05776

.05077

.04975

,02523

.04342

98.57307

91.99005

1.00812

.02331

.02970

.02236

.04469

_ .02745

32,05635

.78203

.76441

.79030 .79142

11.56567 11.58569

21.60008 .21.86582

I*********************

60.51337

-104.66266

39.83497

321.35711

5.49545

. -57.93842

72.56208

1.96103

26.53023

28.08552

-7.28048

"30.91928

284.74801

107.00765

105.21899

106.39364

-19,95947

-22.26094

-.00000

-.00000

-.00000

-.01143

-.01478

-.01349

-.01176

-.01627

' -.01342

60.51337

104.66286

39.63497

321.36557

5.49555

57.97028

72.65609

1.96107

26.55050

28.79453

12.43662

31.36558

285.46080

107,. 04173

105.24900

106.42542

23.20603

25.79146

3.29787

3.08652

3.10426

5.27921

"5.28487

5.24296

2.59636

2.44739

2.51175

POINTS_

3412

3412

3412

3412

3412

3412

3412

.... 3412

3412

3412

.. 3412

3412

3412

_.. 3412

3412

3412

3412

3412

3412

3412

3412

3412

._ ... 3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

.... 3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

3412

A.269
0

) -M

o: <oo_

cO •!->

••-> 0>

o ••-

c/)

04 *~+ -a

00 H- C

Tl Q O • O t/)

•3" CM00 C

O

2?*?. "3 m •

•

Q I— o

n) a.o>

_L

<u

•o

' <U

**• -o

O 3cno

o o o

0 00

o o o O% 00 f^

3OOOs_QJ ooo

LOo

LO r—

CT> CO _ ooo

ai

ro

CVJ

ooom

COa3o:CMetCU3ai

A.270
Ol >o> -ocra

1/1a>o r

o

o

i— C O 3 > Qi 4- 01 O T- <usi to o cu

•(-> 0

-C 5-

O>

QJ 4-

E 4-

'I— T— I— -O oooooo<aoS- 3

cr>

A.271
TABLE A.56. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 31.

I. Mean Airspeed (m/s)

102.5

C

101.5 103.3

III. Standard Deviation

of Gust Velocity

Differences (m/s)

XRC HRL

0.74

0.77

0.86

0.82

0.75

0.95

1.01

XCL HRC XRL

0.77

°AW °A-ar

ZCL

 AWZRC A¥ZRL

0.96

Standard Deviation of

Gust Velocities (m/s)

a

WXL

2.04

a

WYL

5.16

a

WZL

1.53

IV. Integral

cr

w

xc

1.91

a

WYC

5.19

a

w

zc

1.47

Length

CT

WXR

2.01

a

WYR

5.28

a

WZR

1.51 .

Scale (m)

VT Y/"* VD Aij A\s A-Tt

915 901 890

\

2628 2592 2676

116 215 110

A.272
1.0

R'='RighV

C = Center H

L = Left

i i i i i i i i r

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

i l i i | i \ \ r

1-RC

2-CL

3-RL '

A W

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.230. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 31.

A.273
c

<u

'a

o

u

c

o

•!••<

-fj

.2

"a!

t<

o

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.229. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 31.

A.274
WXRC

tiOJ

o

o

a

o

*3

.S"a>

I

o

R

o

OH

I

O

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

3000.

Figure A.231. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 31.

A.275
102

 r

10°

10-'r

102

b

1?

10-

t

1?

10s

10°

10-

von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

Hyr

von Karman

N= 512

SEG.= 6

Wy

von Karman

N= 512

5EG.= 6

W7

von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

w,.

von Karman

N= 512

SEG.= 6

i nirl i i n mil i t t unJ i i i nm iintml i iinntl i iiinnl i i mini

10-8 10° IQ'2

 10° 10~2

K = u/V (m-1)

10°

Figure A.232. Normalized auto-spectra of gust velocities, Flight 6, Run 31

A.276
102

io2

b

\

^.

•^

•6-

102

" 10°

S

•7

•e*

N= 512

SEG.= 6

wxa

N= 512

SEG.= 6

WYCL

I I Mllld 1 ii 'mil l i i i mill 1_

N= 512

5EG.= 6

N= 512

WXRC

N- 512

SEG.= 6

WYRC

i ' in"" LJ-U jiiil—i 11inii l .

N= 512

5EG.= 6

ZRC

N= 512

SEC.- 6

mini

N= 512

SEG.= 6

WYRL

++

N= 512

SEG.= 6

ZRL

ID" 10° 10~8

 10°

« = u/V (m

10

,-8 10°

Figure A.233. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 31.

A.277
W

x

W

z

W

X

W

Y

&

&

10

-2

10° 10G 10- 10°

K = u/V

Figure A.234. Two-point cross-spectra of gust velocities, Flight 6, Run 31

A.278
TABLE A.57. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 31.

START TIME - 54900.3731 STOP TINE • 94581,5231

CHANNEL

2 PHI DOT

3 ACC L N CG

4 THFTA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI _1_

9 PSI 2

10 DEL PSI 2

11 ACC L N LT

12 ACC L N RT

UNITS

RAO/SEC

G UNITS

RAO/SEC

RAD

RAO

OEGPEES_L

DEGREES _

DEGREES

DEGREES

G UNITS

G UNITS

13_A.C.Cl_JL CO GUN ITS

14 ACCL Y CG_ G UNI

15 ALPHA CTR PAD

16 BETA CTP RAC

17 TEfP I DEG f

18 TEM P P DEG f

1<J ACC L z INS_G UNIT_S

HIGH

• 119

-.966

.056

.101

.030

JJL5«805_

5.226

495.236

_ 7.401

2.618

_T 2.349

,155

LOW

-.087

-.968

-.047

.024

-.083

_ HEAN _

-.00356

-.98774

•00534

.05225

-.02370

RHS P.OINIS.

.02644

.98774

.01350

.05511

.03358

3246

3246

3246

3246

3246

126.295 129.53603 129.54446 3246

-1.828 1.32683 _ 1.87939 3246

488.195 __491.32235 _4_?1.32409 3246

_-2.007 _ 1.18977 1. 68496" __ 3246

_ -.410 1.00977 1.03574 3246

.104 1.02389 1.04913

,005 .06955 __»07566

04394

3246

20 ALPHA RT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25_TEMP TOT.

26 OC LT

27 QC CTR

28 OC RT

2<» PS

30 TEMP IRT

31 D TO G

32 B TO 0

33 LONG

34 LAT

3i TBK AHG

3<j HOG

3 7 V E

33 VN

3? ALTITUDE

40 TEPP C

41 tW WHO SPO

<-2 NS kSD SPD

4 1 WIN D SPEE D

4 * WIN D OlfE C

45 AIRSPEE D R

46 AIRSPEE D C

47_A IRS PEED L

48 DELTA ALT

49 INRTL TISP

5C UG RIGHT M/SEC

51 UG CENTER M/SEC

5? UG LEFT M/SEC

53 VG RIGHT M/SEC

5 4 VG CENTF R M/SE C

5 3 VG LEFT P/SE C

5f WG RIGHT M/SEC

57 wG CENTER M/SEC

5 6 WG LEF T P/SE C

RAD

RAD

RAD

RAO

RAD/S

PEG C

PSID

PSID

PSID

PS IA

DEG C

METERS

DEGPEES

DEGREES

DEGPEES

DEGPEES

RADIANS

K/SFC .._

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREES

M/SEC

M/SEC

M/SEC

METERS

METERS

TS .169

.044

.041

98.624

92.163

TS 1.601

.060

.079

.062

.035

EC .062

33.459

.663

.836

.877

11.614

24.029

-.145

-.065

-.095

98.084

91.984

.462

-.066

-.040

-.059

-.067

-.037

.553

.547

.576

11.559

16.841

.00918

-.01476

-.02082

98.28256 9

92.13624 9

1.00273

-.00484

.01492

-.00254

-.02478

.00286

Jl, 46964 3

,72550

.71196

.73816

11.59065 1

20.25643 2

.02188

.03046

98.28266

92.13826

3246

3246

3246

3246

3246

1*01069 3246.

_., 01960 3246

.02503

.01963

.03211

.01673

Hj50318

,72950

.71574

.74210

11.59066

20.35419

JI78P913.1108773855.757**********************

80.587 80.513 80.54929 80.54929

-104.558 -104.653 -104.60699 104.60699

39.869 39.814 39.64177 39.64178

128.897 123.966 126.78799 126.79934

2.358 2.231 2.28765 2.28778

107,050 90.65t 100,66850_ 100,81730

-71.326 -77.864 -75.06089 75.08105

1.979 1.941 1.95757 1.95760

27.749 24.975 26,32574 26.34326

62.144 37.047 49.71676 50.06649

7.812 -29.016 r:13.16749 16.03517

63.638 44,511 52.42342 52.57357

306.547 262.187 285.32951 285.55232

112.635 91.537 103.33756 103.47682

110.046 89.272 101.52771 101.66367

111.776 __ 89.790

9.127 -28.891

11.525 -26.161

5,370 -6,456

5.108 -5.480

5.575 -5.742

9.869 -10.585

9.522 -11.285

9.383 -11.300

5,031 -4,979

4.813 -4.654

6.032 -5.519

102.46276 _ 102,60521

-12.60057 16.66684

-10.25378

,00000

,00000

.00000

-.04291

-.03644

-.03539

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

3246

15.62155 3246

.2.07041 3246

1,97966 3246

2.12244 3246

5.22491 3246

5.14116 3246

5.11095 3246

-.00442 _ 1.50163 . 3246

.01003 1.45553 3246

-.00649 1.52213 3246

A.279
<

U>to

'CU 4J a: raD- cO 4J

•r- JC

4J O>

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01 rs- u_ o o4J •a

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^> r—• Ol CO itJ

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o i— o

o o o o o o

CTV CO

s_3O

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CMo

a>

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C7> O

CM

LOr

CO

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cu

LOCM

OOOin

CMCOc3o;COo4-c: (Oa. inCOCMcu

A. 280
ttc

tvl M

3

K

o

rvj

D O O O O

(M •-! «-i CM

*

< *

_1

ct:

>-

3

<

_

ce

X

3

o

O

CO

o

CO

s

o

•

o

CD

O

o O

CO (1)

O

CD 0)

O

CD

O

O

O

CD

CD

(s/ui) paadg,

o o o a o

t\| ^-i —i CSJ

i i

CJ

o

<U

Ol

•o

c:

ta

to

O)

•r- CM

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r— C

CL) 3

«/) VO

4- CD->

O TCO U_

cu

i. to

o cu

+-> o

to c

••- OJ

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0) 4-

VO

ro

<c

cu

i.

3

en

A. 281
TABLE A.58. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 32.

I. Mean Airspeed (m/s)

98.4 97.6 99.3

Standard Deviation of

Gust Velocities (m/s)

WXL

1.62

(7

WYL

2.79

a

c

1.53

2.81

a

1.50

WYR

2.79

III. Standard Deviation

of Gust Velocity

Differences (m/s)

RC RL

0.65

0.70

0.72

0.63 0.68

0.74

0.86

XCL XRC XRL

0.72

°AQffF

ZRL

0.78

(7

WZL

1.39

a

w

zc

1.30

WZR

1.41

IV. Integral Length Scale (m).

X,

674

\.

1806

XC

656

YC

1735

\R

629

V

1798

222 224 221

A. 282
1.0

0.8

2

0.2

0.0

T I I I

Center

Left

Til l

w

i i i i I i i i r

W

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.237. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 32.

A. 283
c

<u

<u

o

a

o

o

CJ

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.238. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 32.

A. 284
u

ft

<*_!

0)

• co

I

o

O

E1.

0.

-1.

WXRC

0.

-1.

0.

WZCL

1000. 2000. 3000. 3000.

Spatial Lag ,S=VT(m)

Figure A.239. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 32.

A. 285
102

10°

10-

•von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

mill i i miij i i i mill i

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

= 512

.= 6

von Karman

N= 512

SEG.= 6

Wy

I

—von Karman

N= 512

SEG.= 6

W-,

nun,!

—von Karman

N- 512

SEG.: 6

W,

10

-2

10° io~8

 10° icr*

K = <y/V (m-1)

10°

Figure A.240. Normalized auto-spectra of gust velocities, Flight 6, Run 32.

A. 286
108

 r

6-

b

M

 10°

161

 io-a

IO2

6~ 10°

\

3;

:rr

•6" 1Q-s

IO8

tr

•r 10°

10-

2

N= 512

SEG.= 6

WXCL f

N= 512

SEG.= 6

-N= 512

5EG.= 6

N= 512

SEG.= 6

WXRC

N= 512

5E.G.= 6

WYRC

N= 512

SEG.= 6

N= 512

SEG.= 6

WXRL

N= 512

SEG.= 6

N= 512

+ SEG.= 6

**•<

 WZRL

mill I ! i,Mi,l i . ,,,|J i 111,11, I .mini i .iiiml I . iiimJ

io- 10° 10~2 10°

K = u/V (m

10,-2 10°

Figure A.241. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 32.

A.287
1Q2

"v?

•S 10°

«•

io-a

IO2

*^._. 10°

•&'"

io-8

10*

s~*

""::?

 10°

•eri

io-8

r

r

r

..

:

r

r

r

-

r

-

'

•-

_

:

r

r

-

r

r

r

r

r

r

r

r

|

r

I

5-

r

F

r

r

r

r

r

r

f

r

r

r

r

r

f

r=

r

W

x

W

z

— LL

— -LC

r — LR

r „ v.

-

 x->- ^\i

r x S \

r

 uyjv

r \i 1

r r

r

~ \ t nun i iiiinJ i i iiiitn li nintl

CL

— -cc

r v ~

CR

r v V,

r \N \\

r "VY

f \

r

 n

r

" t iiinJ i inniJ i iiiintl ii inml

— RL

— -RC

r — RR

r /\

r ^\\i

r ^V0v

r ^

r

1 Illlin 1 IlintJ I iniml i itunn

r

r

P

sr-

-

r

r

r—

r

Ir

r

i.

i

r

r

-

r

r

r

r

r

r

r

a"

r

r

i

r

r

r

r

r

r

r

f

r

r

r

r

r

r

sr

r

W

X

W

Y

— LL

— -LC

— LR

•- N.

^~'> \«.

"" \-v>V>--V

V 1* 1

r v

r ^

r

~ 1 1 ItlHJ 1 1 lllllJ 1 1 IllltJ 1 1 MtlJ

— CL

— -cc

r — CR

" -\

"" *•• rL r Vx\ \ » T^,

*~ 'v i\i P

r

r

i i iiinJ i i Mini i i iitnJ i minJ

— RL

— -RC

r — RR

r

 *\

" v -\

•- \ v

: N

r

:

 J ,1 1 ,,,,,,,!

r

r

r

Ii

r

r

s-

-

r

jr

r

__

=

i

r

-

H

r

r

r

r

r

r

r

§•

r

-

wr

r

5"

f

r

r

r

=

F

r

•-

r

r

r

r

r

r

W

Y

W

Z

LL

— -LC

r — LR

r v V.

: V"

v

 vu

r ^,v\\

r -^

 l(M

r v

5-

*

1 llin^t i < mini i i uiiiil i i mill

CL

— -CC

r v. ~~

CR

T~ ^ Vr ^ N^ \ :

 \ **** illu

'r- *~ '\^f

r \^

r

r

i i iiniil I mum i i until i i MINI

— RL

— -RC

r

 — RR

r „ x*

r ^^''\

r \y

:

r

-,,,M,J ,,,„„,! ,,,„»! ,, J

10' 10° 10'8

 10°

/c = w/V (m"1)

Figure A.242. Two-point cross-spectra of gust velocities, Flight 6, Run 32,

A. 288
TABLE A.59. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 32.

START TINE • 54633.3133 STOP TIHE • 5471*.*383

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

t> PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCL X CG

14 ACCL Y CG

15 ALPHA CTR

Ib'BETA CTR

17 TEMP I

18 TEMP P

14 ACCL Z INS

20 ALPH A RT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 OC LT

27 OC CTR

2a OC PT

21 PS

30 TEMP IRT

31 0 TO G

32 B TO 0

33 LONG

3<. I AT

3? TRK ANG

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEMPC

41 EU WNO SPO

4? NS UNO SPO

*3 WJN D SPEED

<.<, WIN D DICE:

o AIRSPEE D R

*.*. AI»;PEt O C

47 AIRSPEED L

49 DELTA ALT

49 INRTL DISP

50 yG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 WG RIGHT

57 WG CENTER

58 WG LEF T

UNITS

RAD/SEC

G UNITS

RAD/SEC

R AO

RAO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS

G UNITS

R AD

R AO

DEG f

DEC F

G UNITS

RAD

RAD

RAO

RAD

RAD/SEC

DEG C

PSID

PSIO

PSIO

PSIA

DEC C

METERS "

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

CEGPEES

>/SEC

P/SEC

M/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC __.

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

NIGH

.08?

-.968

.048

.083

.064

331.292

3.81$

330.126

3.726

1.934

1.861

.106

.153

.034

.046

98.444

92.343

1.3BO

.056

.060

.046

.036

.039

31.391

low

-.097

-.988

-.027

.023

-.167

.325.304

-2.239

324.142

-2.360

.260

.142

-.005

-.117

-.054

-.072

98.064

92.163

.545

-.055

-.030

".Tl. -.054

-.074

-.035

29.916

MEAN

-.00291

-.98774

.00636

.05687

-.01381

. 328.63927

1.23549

327.71542

1.11600

_ 1.01585

1.02666

.05723

.00976

-.00748

-.01644

98.29691

92.16807

1.00594

.00239

.01801

- ,00301

-.02198

.00462

30.60689

RMS PC

.02995

.98774

.01256

.06018

.04153

328*64157

1.72975

327.71759

1.64891

1.03350

1.04399

1 06107.

.03901

.01393

.02687

96.29699

92.16808

1.01111

.01352

.02675

.01297

.02911

.01562

. 30.60830

.759 .603 .66774 .66841

.791 .587 .65563 .65626

.777 .614 .66010 .68074

11.609 11.553 11.58528 11.56529

22.684 19.717 21.04391 21.05456

8783838.5668782229.222******+*********+***+*

80.605

-104.526

39.883

336.322

5.777

-26.463

75.167

1.984

26.430

46.022

-15.391

55.412

325.573

105.987

104.195

104.803

1.507

0.000

.4.206

4.629

4.603

7.648

6.663

6.683

4.247

3.985

3.976

80.575

-104.557

39.831

332.093

5.669

-36,768

67.450

1.945

25.469

22.610

-35.013

34,409

290.018

94.515

92.422

93.665

-37.350

-35.345

-6.358

-6.243

-5.931

-6.626

-7.185

.._ -5.784

-6.096

-4.673

.... -5.067

80.59005

-104.54106

39.85753

335.61794

5.73140

. -31.97486

70.58813

1.96131

25.66711

34.62664

-25.83890

"43,48318

307.00007

99.33437

97.56558

96.44388

-20.93445

-20.06137

- -..-.00000

-.00000

-.00000

.00602

.00661

.00499

-<rOO}35

.00078

i..r.00197

80.59005

104.54106

39.85754

335.62396

5.73145

_. 32.06712._

70.62811

1.96133

25.6676P

35.00290

26.06852

43.64368

307.06615

99.35705

9i. 58651

98.46795

22,63288

21.76206

.1.52472 ....

1.55784

1.63915

2.77538

2.79466

_.._. 2.76955.

1.41402

1.30600

1.37563

II MIS.

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

J253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

3253

A. 289
OF QUALITY

0)

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a.

c

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•»->£* -

<0 ••- 3

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<T> 00

o

o

o

r^

o

o

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C\J

^1-

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A. 290
oo<u>CD -acCO

(/>01

••- CO

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(U

•I— * S- U1 o a> -M oa; ai i— "O CMeCcu

o o o o o (M -H .-, (\J i i (s/ui

)

A.291
TABLE A.60. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 33.

I. Mean Airspeed (m/s)

97.3 96.4 98.2

H. Standard Deviation of

Gust Velocities (m/s)

a

WXL

1.69

w

xc

4.52

a

WXR

4.39

a

WYL

2.29

a

WYC

2.46

a

WYR

2.42

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL HRC XRL

a

WZL

2.92

a

w

zc

2.81

CT

WZR

2.91

1.09 1.12 1.37

IV. Integral Length Scale (m).

XCL HRC XRL

1.07

1.28

1.09

«

ZRC

1.22

1.19

1.39

SL

741

Sr

YC

813

1914 1929 1912

V

878

ZR

1237 1323 1079

A. 292
1.0

0 5.-5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.245. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 33.

A.293
fl

0)

o

u

ao

£"a!

fco

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.246. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 33.

A.294
.aCJ

0)

cS

c

o

£o

o

I

o

-u

O

(X,

I

O

1.

0.

-1.

r

_ L

-1.

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

NXRL

WYRC

WYCL

WZCL

WZRL

4000.

Figure A.247. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 33.

A. 295
102

10°

10

-J

10*

10°

io-

\

I

102

10°

10"

von Karman

N= 512

SEG.=10

nil) i inmJ , ,,l

von Karman

N= 512

SEG.=10

WYL

i t i mm ill min i i i iinil i i i mn

von Karman

N= 512

SEG.-10

•von Karman

N= 512

SEG.=10

Wy

—von Karman

N= 512

SEG.=10

von Karman

N= 512

SEG.^10

,,,,,,1

-von Karman

N= 512

—von Karman

N= 512

SEG.=10

—von Karman

N= 512

SEG.^10

ID' 10° 10~8

 10°

K = u/V (m

10,-2 10°

Figure A.248. Normalized auto-spectra of gust velocities, Flight 6, Run 33

A.296
108

164

102

10"

108

" 10°

N= 512

i SEG.=10

f * * wxcu

r +

— fe ^i

'*5t*

i i i mill i i i n nil iii mill i i i n ui

1. N= 512

f + SEC. =10

r X HTCL

r \

r

i i i HUB i i i min i t i mill i i i inn

1. N= 512

f + SEG.^10

r +V WZCL

^ \

r \

r

i i i nun i i i mill I I I mill i I I mi

f

;_ N= 512

1 SEG.=10

r

 ++t

T

- fr

F

i i innil i i 1 1 urn i I i mill i i i inn

:.

 N=

 5i2

T + SEG.=10

r

 *+i+ ^YRC

" Htj*-

f- ^3ff

r

' , Minnl i I...,..! , MMIM! , mm

:

 N= 512

F + SEG.-10

r +V+ WZRC

?~ ^TI>

\ \

3-

r

i i n mil i i itinn i i i mill i i i mi

r

' N= 512

f SEG.=10

r

 +

 +

 WXRL

4-

^ \

r

r

 ^

1 1 1 HUM 1 1 Illllll III! Illll 1 1 1 Illlll

j. N= 512

\ + SEG.=10

r "V

 WYRL

r \

\

'

 V \

r

1 1 1 Illl^l 1 1 1 Illlll i 1 1 1 Mill 1 I I nun

N= 512

f + SEG.=10

r ++A WZRL

\ ^

r

i i i HIM) i t mull i i 1 1 mil i i i nun

10-2 10° 10~2

K =

10° 10,-2 10°

Figure A.249. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 33.

A.297
&

108

:s-

 10°

io-a

IO2

10°

io-2

IO8

•7?

 10°

io-8

r

3-

r

~

f-

=

r

1.

r

—

B~

:

1-

1

r

r

r

r

-

r

r

r

:

r

r

r

r

:

-

-

'

•

'

"•

'

•

i-

:

r

-

r

T

r

r

r

r

r

•

•

r

r

W

x

w

z

LL

— -LC

r X —

 LR

— v \/\

r '^ V

- \ \* \

r

 vv*t.\

r

 ^Hv

i: ^'

r

m3

i imin i iiiniJ i iiiinn i iiiitm

— CL

— -CC

r \ — CR

- V \1

r \A*

B~ \.

 V

-v \1

f

r

 ^

f

-iiiniJ i,i,mJ ,,,,„»! ,,,„„,!

— RL

— -RC

r V. — RR

-

 x *A

f '*••» V

r ^x^A

r \\

r \

r

r

i IIIIIH i ninii i muni i niiita

g"

r

sr

~

3~

^

r

P

r

'—

r

~r

=

r

r

r

r

-

r

r

_-

i

r

r

r

r

-

3-

3"

—

r

Z

r

r

r

r

r

;

r

-

r

r

r

r

^

r

r

5

r

r

r

r

r

W XW Y

— LL

— -LC

r \ LR

— \ \^

r \X

- \ >^, \.

r \ \\

r >v (hi

r \

r

r

i i initj i i Mini i i iittii i i iinif

— CL

— -CC

r \ —

 CR

; ^^

r \ \

r V\\

r "\

r

r

i i iiinJ i i nriiJ i i mitJ i i itniJ

— RL

— -RC

r \ — RR

" \ >TM

r

 x

t

 *\

r

x

\?xV

r \;<*

r \

r

r

:

 1 Illlli IIIHnJ IIIMIlJ , ,,,»J

r

i-

:.

~

s-

:

r

'.-

r

'—

B-

^_

»

r

r

r

r

r

-

5-

r

r

~

r

r

r

r

-

r*

r

—

r

~

m3

~r

W

r

g-

-

r

-

r

r

r

r

i

r

r

:

r

f

B~

f

r

W

r

W

z

— LL

— -LC

r \ — LR

- \ \

i" *'-x \

~ \ X|> *v

r

 v

- A \

r A '\.

r~ IA

r

r

1

 ,,,! ,,,! , ,„„„! 1

CL

— -cc

r V — CR * . ^^*^

i" ''-x \

!

 Vv\\\

\, i

f

r

 ^ P

" i i in ml i i mml i i ntml i i umf

— RL

— -RC

r V — RR

- i ^^**\

r Vv V

r

 w\\\

r *i *^-

r \

r

r

•, M.J iniinl i mini inmJ

io-z

10° icr8 10°

K = u/v (m-i)

10,-8 10°

Figure A.250. Two-point cross-spectra of gust velocities, Flight 6, Run 33,

A.298
TABLE A.61.

OEliggNAL PAGE 5S

OF POOR QUALITY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 33.

START TIME • 54766.7186

CHANNEL UNITS HIGH

2 PHI DOT

3 ACCl N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2 .

11 ACC L N IT

12 ACC L N RT

13 ACCl X CG .

14 ACC L Y CG

15 ALPH A CTR

16 BET A CTP

17 TEMP I

18 TEM P P

19 ACC L I INS

20 ALPH A RT

21 BETA RT

22 ALPH A IT

23 BETA LT

24 PSI DOT

25 TEM P TOT

26 QC IT

27 OC CTR

2? QC PT

23 PS

30 TEM P IPT

31 0 TO G

32 B TO 0

33 LONG

34 L AT

35 TRK A4G

3t HDG

37 y?

3 5 V N

29 ALTITUDE

V3 TEMP C

<.! E tf WHD SPD

<.? NS WHO SPO

O W INO SPEE D

^ WIND OIPEC

45 A IPSPEE D R

4ft AIRSPEE D C

<i7 AIRSPEED L

48 DELT A ALT

49 INRTL OISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

5 4 VG CENTER

55 VG LEFT

56 VG RIGHT

5 7 W G CENTER

58 WG LEFT

RAO/SEC

G UNITS

RAD/SEC

RAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R A O

PAD

DEC F

OEG F

G UNITS

R AD

RAD

R AD

RAD

RAO/SEC

DEG C

PSID

PSID

PS 10

PSIA

DEG C

TETERS

DEGREES

DEGREES

DEGREE S

DEGREE S

PADIAN S

M/SFC

f/SE C

KM

DEGREES C

KNOTS

KNOTS

KNOT S

DEGREE S

H/SEC

M/SEC

H/SEC

METERS

METERS

H/SEC

K/SEC

H/SEC

H/SEC

H/SEC

M/SEC

H/SEC

H/SEC

H/SEC

.170

-.988

• 079

.145

.071

305.931

4.256

307.947

4.197

2.453

2.490

.201

.139

.090

.079

98,444

92.519

1.680

.110

.118

.105

.062

.076

31.194

.776

.753

.774

11.660

16.632

8776542.3621

80.535

-104.607

39.974

306.121

5.364

-62.091

49.810

2.287

26.621

40.373

3.699

52.190

340.250

105.809

104.154

109.685

333.488

2.468

11.939

11.774

13.557

7.937

7.808

7.458

9.141

6.406

7.715

STW Tl«t

LOW

-.148

-.988

-.070

.032

-.084

i98.535

-2.828

300.907

-2.831

-.707

-.776

.019

-.136

-.079

-.132

97.724

92.163

.332

-.078

_.. -.138

-.068

-.106

-.058

28.536

.544

.531

.530

11.124

4.556

37J0261.263'

80.449

-104.718

39.914

303.064

5.237

-75.696

42.331

1.909

24.160

6.112

-39.691

9.450

257.002

67.807

87.948

88.911

-44.630

-24.247

-10.582

-10.481

-11.724

-10.063

-6.950

-7.393

-11.378

-10.714

-12.648

• 54931.31*6

MEAN RHS

-.00328

-.98774

.00610

.08220

-.01177

_3£e. 66804

1.12369

304.68018

1.07682

... 1.01025

1.02369

.09164

.01008

-.00648

._ -.01663

98.17143

_. 92.33100

1*00493

._ .00712

_ .01747

' .00840

_-.02273

.00318

30.06563

.65473

.64226

.66639

11.60676

12.59466

***********'

80.49318

-104.66145

39.94334

304.69599

5.30829

-65,95620

45.65887

1.94636

25.43627

25.03413

-18.96161

..""31,81763

306. 19002

98.160<>6

96.39958

97.30766

-7.49217

...-••13939

-.00000

-.00000

._.. -.00000

-.03200

-.03587

-.03442

.02001

.02269

.02964

. .03691

.98774

•01748

.08618

.02937

302^,67090

1.72800

304.68290

1.69010

1.05279

1.06677

.09814

.03693

. .02125

.03125

98.17152

92.33102

1.01745

.02424

.03013

_. ,02279

.03254

.01930

30.06855.

.65617

.64354

.66767

11.60677

12.93295

***********

80.49319

104.66145

39.94335

304.69684

5.30834

66,03677

45,70057

1.94638

25.4422 0

25.91668

20.42665

33.00006

30fc.3tfl33

98,. 20513

96.44495

97.39826

10,40430

10.16541

4.45218

4.58399

4.72180

2.40780

2.44730

2.27749

2.90225

2.79609

2.91104

POINJS

5784

5784

5784

5784

5784

5784

5784

5784

_ 5784

5784

5784

5784

5784

5784

.... 5764

5784

5784

5784

5784

. 5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

9784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

5784

A. 299
0)

(C

"oJ

to

c

o ••->

4-> en

o ••-

s_ u_

o o

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5

00

CTl (/)

i— •• ro

10 en

ai <u to

+j E Jra -r- 3

Q H-Q

a.

4J

en

I

1 1

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(6ap)

I

o o o

o o o

o o o

en co r^

o

o

o

10

o

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en

a>

• <D

^J- TJ

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t -rcn

o

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S

O

00

0)

CM

o

o

o

ro

c:

3

o;

F.

o

ea

a.

LD

CM

O)

A. 300
ct:

M

dM

u

>-

2

<

O

CM

O

O

O

CO

o

to

o

O

•

CD

O

O

o O

CO d)

CO

o

ID 0)

I I t I I

ce

x

cj

x

S £

o

(\J

O

(M

O

O

O

CO

o

(O

o

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CM

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to

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a>

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o

r- C

O) =)

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a>

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ai

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S- CO

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4-> O

CO C

•r- 0)

£ SO)

a> itLO

CM

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en

oooo o

tsi *-< >-< rsj

(s/ui)

o o o o o

CM —i -J (SI

I I

A. 301
TABLE A.62. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 34.

I. Mean Airspeed (m/s)

R

101.1 103.1 105.3

II. Standard Deviation of

Gust Velocities (m/s)

or

W.XL

2.59

w.YL

2.02

(7

W,XC

2.18

w.YC

2.08

a

w.XR

2.53

w.YR

2.01

III. Standard Deviation

of Gust Velocity

Differences (m/s)

0.89 0.91

0.87 0.90

1.01 0.99

1.19

HCL XRC XRL

0.95

1.13

W.ZL

2.01

a

w,zc

I. 82

W,

ZR

1.99

[V. Integral Length Scale (m).

\L

671

596

718

592

XR

773

\C \B

638

1115 181

ZR

831

A. 302
1.0

0.8

1 n i R'='Flight

C = Center W

L = Left

i i i i i i i i

W

I1IT)IIi f

W

0 . 5.-5. 0 5.-5. 0

Normalized Gust Velocity (Standard Deviations)

i i i i I i i i i

1-RC

2-CL

3-RL

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.253. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 34.

A. 303
-

c

<u

o

u

c

o

t,

o

u

1.

0.

-1.

 L

-1.

0.

.— - —r

WXR

Wxc

• *

WXL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

WYR

Wzc

WZL

4000.

Figure A.254. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 34.

A. 304
1.

0.

-1.

WXRC

WXCL

WXRL

a

'ju

V

oo

c

o

a

1

o

i

o

I

a,

i

-1.

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

WYRC

WYCL

WYRL

WZCL

WZRL

4000.

Figure A.255. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 34.

A. 305
b

I

102

10°

10-i

N

b

10*

10o

10-

von Karman

N= 512

SEG.= 7

—von Karman

N= 512

SEG.= 7

WYL

...I.J I .M.IlJ I

von Karman

N= 512

SEG.= 7

von Karman :

N= 512

SEG.= 7

Wv

—von Karman

N= 512

SEG.= 7

—von Karman

N= 512

SEG.= 7

iiinil I I mini i iimiil

von Karman

N= 512

SEG.= 7

n i l il l mill

von Karman

N= 512

SEG.= 7

—von Karman

N= 512

SEG.= 7

10

-8 10° 10~8

 10°

/c = <y/V (m

10

,-a 10°

Figure A.256. Normalized auto-spectra of gust velocities, Flight 6, Run 34,

A. 306
10a

10*

10°

io-2

10s

10°

1 0

r

L N= 512

f SEG.= 7

— *

: *

- **

r \

<• \.

r1

 « ^^

r

N= 512

f + SEG.= 7

f +**«. WYCL

• *•?

r ^^fci.

r

r

f i ii inn i i i nun i i i mill i i i ii|ii

'• N= 512

f + SEG.= 7

f

 +*V WZCL

^ \

!

r \^m,

i '

r

r

j_ N= 512

f SEG.= 7

r ++ WXRC

-. ++

r *+

3" +2nk

= -titt

rN= 512

1 + SEG.= 7

f +\

 WYRC

:

r-

:

' , ,,,„„! ,1 , ,,,,„,!

s

:

1

 N= 512

f 5EG.= 7

F %

r

" . Illlml , ,, ,„„! , ,,,,>„! „

N= 512

f SEG.= 7

F ++

+

 WXRL

f tt

\ "V

r

[ , i,,,,,,l i nm.,1 > ,,,„„! , ,,,,„,!

1

 N= 512

f + SEG.= 7

; V'RL

r

r

:

:

 N= 512

| SEG.- 7

r

 +*v WZRL

: +

5-

r

" , ,,1 , ,,,,,„! , I N,|,,| I .,., ,,,|

10'8 10° 10~8 10°

/c = w/V (m

io-810°

Figure A.257. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 34.

A. 307
W

Y

W

Z

10'* 10~e

 10°

K = <u/V (m"1)

10

,-B 10°

Figure A.258. Two-point cross-spectra of gust velocities, Flight 6, Run 34,

A. 308
TABLE A.63. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 34.

START TlHt • 59009*7169 STOP TINE • 55103.3189

CHANNEL

? PHI DOT

3 ACCL N CG

4 THfcTA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCL ...X CG

14 ACCL T CG

15 ALPHA CTR

16 BET* CTR

17 TEMP I

19 TEMP P

19 ACCL Z INS

20 ALPHA RT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 OC LT

27 OC CTR

?8 OC RT

2<> PS

30 TEMP IRT

31 0 TO G

32 B TO 0

33 LONG

34 LAT

35 T*K ANG

36 HOG

37 VB

3? VN

39 ALTITUDE

40 TEHPC

41 Eb UNO SPO

4? MS UNO SPO

43 WIND SPEED

44 yiNP 01PEC

*.

 r, i I P < •> ? f r P

<•-- t if S'CEC C

47 4IRS»EEO L

44 DELTA ALT

49 INRTl DISP

^0 JJ(J PIGHT

51 US CENTER

*? UC LEFT

53 VG RIGHT

54 V<5 CENTER

55 VG LEFT

-S&-JUL8I.OHT

57 VG CENTER

5* WG LEFT

UNITS

RAD/SEC

6 UNITS

RAD/SEC

RAO

RAO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

DEC F

DEC F

G UNITS

RAO

RAO

FAD

RAD

RAD/SEC

DEC C

PSID

PSID

PSIO

PSIA

DEC C

METERS __

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

H/SEC

M/SEC

KH

DEGREES C

KNOTS

KNOTS

KNOTS

CEGPEES

M/SFC

»/SK

H/SEC

METERS

METERS

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.128

-.988

• 072

.079

.057

146.020

3.579

505.086

3.520

2.309

2.420

.108

.167

.045

.052

97.904

92.523

1.526

.057

.081

.055

.044

.047

_ ._ 32,080

_LOW .

-.133

-.988

-.049

.019

-.111

138.975

-3.150

498.059

-3.330

.127

-.236

.005

. .. -.143

-.069

-.083

97.365

92.343

.415

-.053

-.039

-.055

-.093

-.041

29.619

.916 .670

.689 .657

.917 .682

11.667 11.325

15.152 8.063

8781697. 6518775113. 971

80.569 80.490

-104.564 -104.659

39.965 39.887

137.883 136.115

2.535 2.417

88.940 85.651

-91.296

2.144

26.340

61.234

-4.983

62.619

306.443

115.007

113.043

114.693

207.001

20.985

4.650

4.536

5.419

5.524

5.352

5.030

5.848

7.044

6.653

-94.667

1.905

24.425

34.797

-31.366

36.036

276.251

99.407

97.624

98.464

-31.P31

0.000

-8.538

-8.651

-9.335

-6.757

-8.365

-7.574

-6.444

-6.161

-7.641

MEAN

-.00342

-.98774

.00605

.04662

-.01297

142.20724

.01757

501.38409

-.09680

1.01106

1.02421

.05088

.01420

-.01631

-.01406

97.65938

92.39095

1.00267

.00342

.02200

:... .00432

-.01754

.00334

30.76657

.75544

.74155

.76943

11.60633

13.65616

*****•*****!

"80.53013

-104.61128

39.92564

136.82359

2.47286

87.06648

-92.71491

1.94667

25.43653

46.82274

-20.75382

-51.45601

293.73613

105.32870

103.44S26

104.38598

9.87299

13.15567

.00000

.00000

.00000

-.00546

-.00439

-.00730

.00261

-.00020

• .00724

RMS POINTS

.03617 3744

.98774 3744

_. .01475 3744

.05038 3744

.03306 3744

142.21209 3744

1.14997 3744

501.38536 3744

1.15295 3744

1.04447 3744

1.05858 3744

.05379 3744

,04965 3744

...... .02167 .3744

.02655 3744

97.65949 3744

92.39099 3744

1.01106 3744

.01501 3744

.03013 3744

.01526 3744

.02755 3744

.01732 3744

30.77297 3744

.75678 3744

.74282 3744

.77075 3744

11.60633 3744

13.71274 3744

*********** 3744

80.53013 "3744

104.61128 3744

39.92565 3744

136.82423 3744

2.47294 3744

87.07146 3744

92.71873 3744

1.94668 3744

25.44042 3744

46.94765 3744

21.41187 3744

51.59990 3744

293.79008 3744

105.37107 3744

103.46t66 3744

104.42937 3744

12.34200 3744

14.02453 3744

2.52999 3744

2.47754 3744

2.58126 3744

1,99429 3744

2.06950 3744

2.00985 3744

1.96394 3744

1.79981 3744

2.01710 3744

A. 309
ORIGINAL PAGE 5S

OF POOR QUAirTY

(O

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A.310
0)

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t/i

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A.311
TABLE A.64. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 35.

1. Mean Airspeed (m/s)

107.6

R

106.6 108.4

III. Standard Deviation

of Gust Velocity

Differences (m/s)

XCL XRC HRL

0.91

°AW

*ycL

0.88

0.95

0.99

0.92

1.07

1.26

0.91

1.15

n. Standard Deviation of

Gust Velocities (m/s)

a

W

XL

2. 09

a

3.28

a

W

ZL

2.20

a

wxc

1.91

a

W

YC

3.35

a

wzc

2.09

CT

W

XR

2.01

a

W

YR

3.32

a

WZR

2.28

IV. Integral Length Scale (m).

\

*lf f ^*W

L XC X.R

184

791

184

XL Xc

753

187

788

363 397 361

A.312
1.0 1 i r

W

i r IIT T

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 .5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 35.

A.313
G

D

O

U

fl

O

t*

u

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.246. Single-point auto-correlation coefficient of qust velocities,

Flight 6, Run 35.

A.314
WXRC

d

.2

u

0)

oO

c

.2*3

<sJ

I

O

o

(X

I

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

Figure A.261. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 35.

A.315
102

•e- 10o

10

-i

N

b

io8

10°

io10*

10°

10

,-a

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

—von Karman

N= 512

SEG.= 6

YC

•von Karman

N= 512

SEG.= 6

— von Karman

N- 512

SEG.r 6

von Karman

N- 512

SEG.= 6

von Karman

N= 512

SEG.= 6

imi l . inmi l . ,,iiiii l i i ' I . mi,il i i.nm l , .n.,.1 I I , mill

10,-e 10° 10~8 10°

K = w/V (m

10,-2 10°

Figure A.262. Normalized autojspectra of gust velocities, Flight 6, Run 35

A.316
108

•6- 10-« ~r

108

r 10°

10-a

N= 512

SEG.= 6

WXCL

N= 512

SEG.= 6

N= 512

SEG.= 6

WZCL

N= 512

SEG.= 6

W

•m-

*^

^

XRC

N= 512

SEG.= 6

WYRC

N= 512

5EG.- 6

'••*+

N= 512

SEG.= 6

N= 512

SEG.= 6

WYRL

N= 512

SEG.= 6

WZRL

1Q-2 10° 10° 10°

Figure A.263. Nonnalized two-point auto-spectra of gust velocities,

Flight 6, Run 35.

A.317
w x z w

IO8

10°

•eio3

sT X

rr

rr

—LL

—-LC

—LR

iiiniJ i i iiniJ i n nuil i I Him

102

io8

rt

|T

rr

-—CC

—CR

~ i iiiinj i iiimj i itnui! i iiiinil

•e*

io8

10°

io-8

—RL

—-RC

—RR

i.iimJ , ,,,,,J I ,..|J

10~8 10° i(T8

 10°

K = w/V (nr1)

10" 10°

Figure A.264. Two-point cross-spectra of gust velocities, Flight 6, Run 35,

A.318
TABLE A.65. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 35.

START TIKE • 55285.3543 STOP TIHE • 55353.304)

CHANNEL

?>HI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

* PHI

7 PSI 1

d DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N PT

13 ACCL X CG

14 ACCL V CG

15 ALPHA CTR

16 BETA CTR

17 TErP I

ie TEMP P

19 ACCL Z INS

20 ALPHA fl

21 BETA RT

2? ALPHA LT

23 BETA LT

24 PSI DOT

25 TEfP TOT

26 OC LT

27 OC CTR

?e oc RT

2<» PS

3C TEHP IRT

31 0 TO G

3? B TC 0

33 LONG

34 LAT

3* TPK AKG

3t HOG

37 VE

33 VN

3) ALTITUDE

v; TE*K

41 EM WSO SPO

«.? NS WNO SPO

43 ulNP SPEED

*i «I*r OIVE C

-: AIRSPEED •

«.- AlFSPEEO C

47 AIRSPEED I

48 DELTA ALT

49 INRTL OISP

50 UG RIGHT

"5 TUG CENTER

5? UG LEFT

53 VG RIGHT

54 VG CENTER

5^ VG LEFT

56 WG PIGHT

57 WG CENTER

59 WG LEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

PAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

PAD

RAD

DEC F

C£G F

G UNITS

RAD

RAD

PAD

RAD

RAO/SEC

DEC C

PSIO

PSIO

PSID

PSIA

DEC C

PETERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

H/SFC

P/SEC

*H

PtCREES C

KNOTS

KNOTS

M«OTS

CEGPEES

H/SEC

H/SEC

H/SEC

METERS

METERS

H/SEC

H/SEC

H/SEC

H/SEC

H/SEC

H/SEC

H/SEC

H/SEC

H/SEC

HIGH

.093

••988

.070

.09?

.099

13.582

8.694

371.316

8.371

2.298

2.288

.120

.173

.045

.073

97.724

92.703

1.716

.062

.103

.059

.054

.062

33.065

.899

.888

.936

11.655

21.708

8799137.0881

80.714

-104.353

39.866

21.881

.?51

35.668

91.921

2.100

27.372

48.924

-17.423

57.673

345.040

116.223

113.220

113.989

177.115

33.615

6.371

5.436

5.861

12.026

12.321

10.401

7.471

6.582

7.672

LOW

-.099

-.988

-.047

.020

-.119

4.776

.347

362.867

-.067

-.438

-.338

.011

-.195

-.061

-.115

97.365

92.523

.427

-.068

-.060

-.072

-.115

-.054

31.765

.717

.705

.715

11.387

19.312

B795967.168<

80.707

-104.378

39.811

18.634

.100

30.916

88.390

1.913

26.225

6.029

-38.796

24.643

296. ?38

101.773

101.076

101.921

-10.421

0.000

-6.567

-5.729

-5.778

-10.131

-9.742

-9.609

-9.913

-9.447

-10.679

HEAN

-.00338

-.98774

.00566

.04795

-.01006

9.02313

4.33168

366.86255

3.96418

1.00968

1.02202

.04955

.01067

-.02319

-.01748

97.47397

92.54734

.99980

-.01223

.01693

-.01249

-.02211

.00465

32.42029

,80012

.78437

.81260

11.61012

20.56946

***********

60.71034

-104.36563

39.83869

19.9C451

.17238

32.75363

90.49852

1.94403

26.7t605

24.63383

-27.41379

~37. 30196

318.62575

108.42732

106.57343

107.61115

20.99786

21.19528

-.00000

-.00000

-.00000

-.00057

-.00384

-.01005

-.01703

-.01888

-.01758

RHS

.03385

•96774

.01629

.05007

.03914

9.22877

4.73575

366.86734

4.42246

1. 05372

1.06064

.05131

.05095

.02756

.02996

97.47402

92.54736

1.01037

.02005

.02769

.02042

.03107

.02079

32.42126

.80063

.78481

.81310

11.61013

20.59765

***********

80.71034

104.36563

39.83869

19.92664

.17589

32.78213

90.50571

1.94406

26.76681

25.59948

27.62350

37.66154

318.95269

108,. 44349

106.58758

107.62759

22.91983

22.69835

1.97873

1.87465

2.06551

3.52266

3.52605

3.47414

2.27660

2.08804

2.20457

POINTS

2718

2718

2718

2718

2718

2718

2718

2718

2718

2716

2718

2718

2718

2718

2716

2718

2718

2718

2718

2718

2718

2716

2718

2718

2718

2718

2718

2718

2718

2716

2718

2718

2718

2718

2718

2718

2718

2716

2718

271*

2718

2718

2718

2718

2718

2718

2718

2718

2718

2718

2718

2718

2716

2718

2718

2718

2718

A.319
Q

C (0Q.

•U CD

O ••-

«U r-

i- LL.

O O

J L

(6ap)

CM --^-O

00 I- C

T> Q O

'-SO— 'dj

•• in f>

^" LO 1 — . . rv

.

>»CM

3 lf» ••

T> ^- eo d) <U U *J = !_ <O •"- 3 Q H-Q OOO

OCO

oo

ooo

f-.

ooovO

cn

i -8

LO

C7> O

°

Oi

ro

CO

LO

Ooo

LT>

'"" \

\

^

CO

C£. VQ

+->cn

•r—U.o

•r—<OO

l<-cfOa. unCMO)

S--

O)

A.320
o

CO

o

o

o

CO

K

CJ

tvl

Qi

M

O

o

<u

85

3

o:

X

o

ee. o

3

<

O

O

o

o

o O

CO 0>

CD O

S

.

dX

o

_, d

o

o

o

CD

CD

o

M

1 1 1 1

0000 0

O O O O O

3

CD

01

O

o n

o

O)

I/) ID

o ••-

o

o>

<D

-0

to

CD

A.321
TABLE A.66. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 36.

I. Mean Airspeed (m/s)

107.9 106.8 108.7

III. Standard Deviation

of Gust Velocity

Differences (m/s)

a' a•

XRC \RL

II. Standard Deviation of

Gust Velocities (m/s)

(7

W

XL

2.48

a

W

YL

4.18

cr

W

ZL

1.92

cr

wxc

2.44

a

W

YC

4.21

a

wzc

1.70

a

W

XR

2.49

a

W

YR

4.26

a

W

ZR

1.85

0.90

0.86

0.88

0.85

1.12

HCL XRC HRL

0.90

IV. Integral Length Scale (m).

w

L

415

xc

L

w

439 460

0.97

XRC XRL

1.02 1.22

1637

Sir

^

1588 1632

339 357 297

A. 322
1.0 c-r-T-r- 1 I I I | I I I T

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.267. Probability density function for gust velocities and gu.

velocity differences, Flight 6, Run 36.

A.323
c

••^

CJ

<u

o

u

a

o

3

o

u

I

o

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.268. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 36.

A. 324
ORIGINAL PAGE IS

OF POOR QUALrTY

WXRC

V

o

u

B

.22

—"o>

t_

o

cj

O

;ooa. 2000. :

Spatial Lag ,S=VT(m)

Figure A.269. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 36.

A. 325
I

\

I

10a

10°

10-

von Karman

N= 512

SEG.= 4

J , I.MlJ I I I Mil

von Karman

N= 512

SEG.= 4

von Karman

N= 512

SEG.r 4

von Karman

N= 512

SEG.= 4

XC

ml

von Karman

N= 512

SEG.= 4

von Karman

N= 512

SEG.= 4

i illltll nil , , I ,

von Karman

N= 512

SEG.= 4

von Karman

N= 512

SEG.= 4

w,

—von Karman

N= 512

5EG.: 4

10- 10° 10° 10°

K = u/V

Figure A.270. Nonnalized auto-spectra of gust velocities, Flight 6, Run 36.

A. 326
10a

-T 10°

_£

•^

•eio8

tr

bT 10°

3

:;?

>e« 10-2

ioa

tr 10°

10

-2

N= 512

SEG.= 4

WXCL

N= 512

SEG.= 4

WYCL

N= 512

5EG.= 4

10

-8

3- +

N= 512

SEG.= 4

WXRC

N= 512

SEG.= 4

N= 512

5EG.= 4

N= 512

SEG.= 4

XRL

N= 512

SEG.= 4

WYRL

N= 512

5EG.= 4

K = u/V

10,-2 10°

Figure A.271. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 36.

A.327
102

 r

•eio

102

10° r r r

ioz

W

X

W

Y

nr

rf

rf

-LL

-LC

-LR

w y w z

!T

 x<

—LL

—-LC

—LR

rr

s-f \

uui

-CL

-CC

-CR

^r

- nl , , i mill i i,nnil i M

108

io8

—RL

—-RC

— RR

—RL

—-RC

-- RR

srr \

rf

id

•RL

•RC

•RR

IDI

10' 10° 10~z 10°

/c = w/V (

10,-z 10°

Figure A.272. Two-point cross-spectra of gust velocities, Flight 6, Run 36.

A. 328
ORIGINAL PAGE OS

OF POOR QUAUTY

TABLE A.67. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 36.

START TINE • 9509.4796 STOP TIME 95492.6296

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA COT

5 THETA

6 PHI

7 PSI 1

0 DEL PSI 1

<» PSI 2

10 DEL PSI 2

11 ACCt N LT

12 ACCL N RT

13 ACCl X CG

14 ACCl V CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

16 TEHP P

19 ACCL Z INS

20 ALPHA RT

21 BETA RT

2? ALPHA LT

23 BETA LT

2* PSI DOT

25 TEPP TOT

26 QC LT

27 OC CTR

28 QC RT

29 PS

30 TEHP IfT.

31 fl TO G

32 B TO 0

33 LONG

3* LAT

35 TRK ANG

30 HOG

37 VE

38 VN

39 ALTITUDE

«.0 TEfPC

<>! EM UNO SPO

<.? NS WNO SPO

*3 MISC. SPtEO

«.<. klNL OI»EC

• - » 1 1 1 ? E F C «

<••;. i i»: »f ft c

47 AIRSPEED I

<••» DELTA ALT

<•« INRTL DISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

5<. VG CFNTEft

5'j VG LEFT

56 WG RIGHT

57 WG CFNTER

59 UG LEFT

UNITS

RAD/SEC

G UNITS

RAO/SEC

PAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

DEG f

DEC F

G UNITS

RAD

RAD

RAO

RAD

RAD/SEC

DEG C

PSIO

PSID

PSIO

PSIA

DFG C

MFTERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SFC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KhOTS

CEGBCES

H/SF.C

f/SK

H/SEC

METERS

METERS

M/SEC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

P/SEC

HIGH

.150

-.986

.056

.080

.069

145.315

4.609

904.389

4.491

1.966

2.342

.108

.205

.027

.042

97.724

92.8R3

1.483

.035

.069

.049

.033

.056

34,049

.881

.869

.902

11.605

24.974

LOW

-.150

-.988

-.058

.010

-.101

135.453

-4.678

495.236

-4.801

-.248

-.130

.005

-.155

-.065

-.079

97.369

92.703

.509

-.064

-.041

-.083

-.074

-.052

31.194

.665

.669

.702

11.561

19.1C9

.MEAN

-.00318

-.98774

.00528

.04882

-.02130

140.89133

.46417

900.12913

.31513

1.01241

1.02570

.05256

.00695

-.02379

-.01972

97.47489

92.76033

1.00380

-.01647

.01374

. -.01626

-.02480

.00235

33,54743

.60116

.78564

.81406

11.57935

21.73162

RMS

.03 to 4

.96774

.01419

.05151

.03655

140.90043

1.65305

900.13153

1.61443

1.04670

1.05720

. ,05573

.05558

.02720

... .03028

97.47494

92.76037

1.01150

.02207

.02507

.02198

.03246

.02009

32,55178

.80214

.78656

.81503

11.57935

21.77920

8803745. 664 87 99810. 08A«**********M*******»«

60.770

-104.269

39.855

139.783

2.525

88.349

-92.401

1.978

28.160

51.213

-7.867

58.149

326.282

114. 2<)«J

11?.?24

112.998

14.250

17.244

7.272

7.789

9.185

9.979

9.514

9.596

5.696

5.662

5.896

80.723

-104.342

39.806

136.347

2.358

82.361

-97.315

1.948

25.861

20.739

-37.966

30.530

280.825

101. IS?

•J8.773

96.481

-16.446

-15.440

-5.506

-5.426

-4.908

-6.759

-6.877

-6.334

-7.362

-5.744

-5.668

80.74615

-104.31420

39.83044

137.97297

2.45009

65.47921

-94.73209

1.96544

26.86774

36.9S518

-21.75357

-43.63255

300.743«i9

108.66604

106. 79631

107.62069

1.31820

2.54706

.00000

.00000

.00000

.01414

.01394

.01041

-.00415

-.00512

. -.01152

80.74615

104.31421

39.83045

137.97860

2.45025

85.50950

94.74661

1.96545

26.87016

37.52780

22.77954

43.90038

300.93686

108.697>0

10t). 82716

107.85297

6.71156

6.45292

2.54329

2.49424

2.53571

4.15286

4.11184

4.07982

2.03344

1.93508

2.09458

POIMIS

2286

2286

2286.

2286

2286

2286

2286

2286

2286

2286

2286

2266

2286

2266

2286

2286

2286

2286

2286

2266

2286

2286

2286

2286

2286

2286

2286

2286

2286

2266

2286

2286

2286

2286

2286

2286

2286

2286

2286

2286

2286

2286

2286

2?8fr

2?et

2286

2286

2266

2286

2286

2286

2286

2286

2286

2286

2286

2286

A. 329
OF POOR QUALfiY

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A. 330
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A.331
TABLE A.68. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 37.

I. Mean Airspeed (m/s)

104.5 103.4 105.2

III. Standard Deviation

of Gust Velocity

Differences (m/s)

A

\CL

0.72

0.73

A

\RC

0.73

0.69

0.91

XCL XRC XRL

0.75

Q. Standard Deviation of

Gust Velocities (m/s)

CT

WXL

2.27

a

WYL

4.45

a

WZL

1.62

V. Integral

o a

\C \R

2.22 2.28

a a

V

 WYR

4.48 4.41

a a

WZC WZR

1.52 1.63

Length Scale (m)

\L \C \R

349 353 354

ZCL

0.81

ZRC

0.87

ZRL

0.97

2070 2036 207

212 223 224

A.332
I I I I I I I I I

w

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

5.

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.275. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 37.

A.333
<u

o

CJ

d

o

.3

o

u

1.

0.

-1.

TM" 1 •

0.

Wzc

WZL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.276. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 37.

A.334
0F POOR

WXRC

4)

8

a

o

£

I

o

Cu

I

i

6-

1

I

F^..^ WXRL

^~~7~~--v__ j_ « i < — — — I- i — — i

-—

WYRC

3000. 2000, 3000.

Spatial Lag ,S=V7(m)

Figure A.277. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 37.

A.335
"b

I

102

10°

10*

10-

•von Kantian

N= 512

SEG.= 6

i.,J , J I

•von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

ml I i 11 mill

•von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

i.nJ i it.ii.il i ii I . mini . I . I ,il i " i i i | . . i I ,1 i ,,ii,i,l

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.: 6

W,

10- 10° 10~8 10°

ic = <y/V (m~J)

10,-e 10°

Figure A.278. Normalized auto-spectra of gust velocities, Flight 6, Run 37

A. 336
IO2

 r

r 10°

10-

10*

6" 10°

\

J^

«•• io-8

10a

6"

tT 10°

10-

2

N= 512

SEG.= 6

N= 512

SEG.= 6

N= 512

SEG.= 6

WZCL

N= 512

SEG.= 6

N= 512

SEG.= 6

WYRC

N= 512

SEG.= 6

WZRC

N= 512

SEG.= 6

,11,1 I I I I 11 1 ,1,1

N= 512

SEG.= 6

WYRL

v

N= 512

S£G.- 6

WZRL

10' 10° 10~8

 10°

ic = cj/V (m

10,-B 10°

Figure A.279. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 37.

A.337
— LL

10

,-z 10° io-B

 10°

K = u/V (m-1)

10-e 10°

Figure A.280. Two-point cross-spectra of gust velocities, Flight 6, Run 37,

A. 338
TABLE A.69.

ORIGINAL PAGE IS

OF POOR QUAITTY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 37.

STAR T TIHE • 55949.4097

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THFTA DOT

5 THETA

6 PHI

7 PSI 1

e DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACC L M LT

12 ACCL N RT

13 ACC L X CG

14 ACC L Y CG

15 ALPH A CTR

16 BET A CTR

17 TEUP I

18 TEMP P

1" ACC L Z IN$

20 ALPH A RT

21 BET A RT

2? ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 OC LT

27 OC CTR

28 OC RT

2<5 PS

30 TFMP IRT

31 D TO G

32 8 TO 0

33 LONG

3* L AT

~t TRK ANG

3-5 HOG

17 VF

39 VH

39 ALTITUDE

40 TfhP C

41 CW UNO SPD

4? SS *ND SPD

O 4 IKP SPEE D

* 4 WIN D OlSE C

.-. USSPEF O «

'••; AIPSPEC O C

47 AIRSPEE D L

43 DELTA ALT

4<i INPTL DISP

0 UG RIGHT

1 UG CENTER

2 UG LEFT

3 WG PIGHT

<> VG CENTE R

<> VG LEFT

r; *G BIGHT

? KG CENTER

6

 WG LEFT

UNITS

RAO/SEC

G UNITS

RAD/SEC

R AO

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS

G UNITS

RAD

RAD

DEC f

OEG F

G UN{T$

RAD

R AO

RAD

RAD

RAD/SEC

DEC C

PSID

PSID

PSID

PSIA

DEC C

HETERS

DEGREES"

DEGREES

DEGREES

DEGREES

RADIANS

K/SF C

f/SE C

KM

CFCPEES C

KNOTS

KNOTS

KNOTS

DEGREE S

*/Sf C

H/SEC

M/SEC

fETERS

HETFRS

M/SEC

I»/SEC

H/SEC

H/SEC

fl/SEC r/stc

M/SEC

N/SEC

M/SE C

HIGH

.13*

-.988

.054

• 079

.059

304.866

2.110

306.539

1.933

2.238

2.558

.094

.161

.035

.029

96.444

93.062

1.395

.032

.057

.040

.019

.052

32.868

.860

.839

.876

11.616

23.456

STOP TINE

LOW

-.091

-.988

-.045

.019

-.087

297.465

-4.913

299.850

-4.976

-.488

.105

.007

-.152

-.074

-.100

97.724

92.703

.542

-.062

-.059

-.065

-.100

-.043

30.899

.665

.656

• 678

11.417

20.320

• 59631.6347

HE AN

-.00292

-.98774

.00641

.04907

-.01464

RMS

.02969

.98774

,01296

.05071

.03435

30.1*03588 301.04029

-1.48293

303.14423

-1.60693

1.01460

1.02708

,04301

.00823

-.01876

-.02116

98.01436

92.68271

1.00455

-.01344

.01273

-.01152

-.02696

.00349

31.96564

.75267

.73724

.76376

11.59552

22.26972

2.20261

303.14844

2.27413

1.04147

1.05097

.04447

.04573

.02219

.03008

98.01450

92.68271

1.01046

.01900

.02303

.01724

.03336

.01602

31.97022

.75407

.73836

.76494

11.59553

22.27804

8804740. 5 318799049. 306******* »********»*»***

60.776

-104.275

39.845

302.601

5.344

-75.633

48.604

2.079

28.001

30.469

-9.724

45.368

348.604

112.530

110.238

111.541

105.858

1.106

6.958

6.598

7.080

9.261

9.166

9.028

6.121

6.473

7.026

80.720

-104.349

39.813

294.685

5.219

-79.375

35.126

1.940

25.996

6.342

-43.559

17.025

294.798

99.161

97.S94

98.236

-33.336

-31.042

-5.420

-4.854

-4.927

-7.592

-7.947

-7.604

-4.734

-5.081

-4.635

80.74798

-104.31161

39.82955

299.01940

5.27990

-77.36219

43.01279

1.95418

26.63962

16.66617

-27.94163

33.44439

327.64846

105.21123

103.40906

104.47403

-16.68896

-17.22765

-.00000

-.00000

-.00000

-.02226

-.02495

-.03043

-.02240

-.02100

-.02116

60.74798

104.31161

39.82955

299.02883

5.27998

77.36751

43.20625

1.95421

26.64276

17.43130

29.11404

33.93343

327.94229

10!».250P7

103.44771

104.51463

21.15987

19.52640

2.22459

2.16637

2.21435

4.38797

4.45959

4.43147

1.59069

1.48903

1.58769

3289

3289

3289

3289

3289

.3269

3289

3289

3269

3289

3289

3289

3289

3269

3289

3289

3289

3269

3289

3289

3289

3289

3289

3289

3?89

3?69

3289

3289

3289

3289

3269

3289

3289

3289

3289

3289

3289

3289

3289

3289

3269

3289

3289

3?89

3269

3289

3289

3269

3289

3289

3289

3289

3289

3289

3289

3289

3289

A.339
0)

•is !-

-MO) I

O •f- L

<U r- T

o o

-3

CO

CM

oo c

o

oo

co

>,CVJ

15 LO '•

.. .. <->

Ol O) (T3

+J E Sgr-3

I

oo o 2

§ §

I I

(6ap)

o

o

o

r^.

o

o

o

o

i

0)

Lf)

o

in

CO

co

CO

<u

LO

o

o

o

•iii"

30

00

CO

c

3

eg

<£>

en

o

4->

ITJ

-C

CT>

00

CVJ

(D

3

O1

A. 340
o

o

O)

>

OJ

•r- CO

O CO

o

i— C

(D 3

> cc

CD-M

-C

M~ cn

i/> LL.

QJ

• r~— r»

s- i/>

O O)

+ J O

i/i e:

••- o>

CM

oo

CM

et

OJ

en

u_

o o o o o CM ^-i r-i (\J

I I (s/ui)

o o a a o

CM ~* —4 (M

I I

A.341
TABLE A.70. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 38.

I. Mean Airspeed (m/s)

94.9 94.0 95.7

Standard Deviation of

Gust Velocities (m/s)

a

WXL

5.75

a

3.41

a

w

xc

5.51

<7

WYC

3.48

CT

WXR

5.49

3.29

III. Standard Deviation

of Gust Velocity

Differences (m/s)

_^CRC

1.35 1.35

CL RC

1.39

1.47

1.35

1.48

1.70

1.43

1.61

a

ZZL.

3.26

a

w

zc

3.09

cr

WZR

3.24

FV. Integral Length Scale (m).

xc

\L

680

YC

719

1140 1123 1128

813

wW 77 7f* ZR

249 267 246

A. 342
R^'Righ't

C = Center W

= Left

\ \ r

N

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.283. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 38.

A. 343
c

'u

<u

o

u

fl

o

01

s-l

!-,

O

U

0. 1000. 2000. 3000.

Spatial Lag ,S=VT(m)

3000.

Figure A.284. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 38.

A. 344
ORIGINAL PAGE IS

OF POOR QUALrTY

WXRC

a

o

_CO ~s

o

o

o

a,

i

o

1000. 2000.

Spatial Lag ,S=VT(m)

Figure A.285. Two-point auto-correlation coefficient of gust ve'

Flight 6, Run 38.

A.345
102

 r

10°

10

-i

b

S"

10*

10o

10"

10°

10-

von Karman

N= 512

SEG.= 5

Wy

—von Karman

N= 512

SEG.= 5

•von Karman

N= 512

5EG.= 5

I mini i i jiniit I i mini I I nun

von Karman

N: 512

SEG.= 5

Wy

von Karman

N- 512

SEG.= 5

von Karman

N= 512

SEG.= 5

von Karman

N= 512

EG.= 5

— von Karman

N= 512

V SEG.= 5

' YR

von Karman

N- 512

SEG.= 5

W,

10-2 10° 0~2

 10°

K = u/V (m"1)

10~

8 10°

Figure A.286. Normalized auto-spectra of gust velocities, Flight 6, Run 33,

A. 346
102

liT

KT1 10°

io-z

102

6"^

bT 10°

10-

10*

6"*

b~ 10°

io-a

N= 512

SEG.= 5

WXCL

N= 512

SEG.= 5

wYCL

-V

N= 512

SEG.= 5

N= 512

SEG.= 5

WXRC

N= 512

SEG.= 5

N= 512

SEG.= 5

WZRC

N= 512

SEG.= 5

WXRL

,,,,,1,1

N= 512

SEG.= 5

NYRL

N= 512

SEG.= 5

WZRL

ID"

2

10° 10~

2

10° 10

1-2 10°

Figure A.287. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 38.

A.347
w x w z W

X

W

Y

108

10°

"

io

If

rf"

rr

—LL

—-LC

—LR S-F

~ i i utirj | i irntJ i i limit i i until

LL

—- LC

LR

J i i Mini i i mill i i imtJ

rr

•• r

M,,I| i i ..... ,\ i mmil i.M.J

108

._ 10°

•e10-8

 rrr

10*

io8

io-2

10° 10'8 10°

K = co/V (

10,-8 10°

Figure A.288. Two-point cross-spectra of gust velocities, Flight 6, Run 38.

A. 348
TABLE A.71.

ORIGINAL PAGE IS

OF POOR QUALTTY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 38.

START TIM E • 55778.4101 STOP TINE - 55«5<..5601

CHANNFl

? PHI'OOT

3 ACC l N CG

<• THITA DOT

5 TH£T 4

f> PHI

7 PSI 1

* PEL PSI 1

o PSI 2

10 DEL PSI 2

11 ACC L N LT

12 ACC L N RT

13 ACC l X CG

!<• ACCl Y CG

15 ALPH A CTR

16 HET A CTR

17 TEM P I

Id TEMP P

I? ACC l Z INS

20 ALPH A PT

21 BET A RT

22 ALPH A LT

23 BET A LT

24 PSI DOT

25 TEM P TOT

26 QC LT

?7 OC CTR

2:* OC PT

29 PS

30 TEMP IRT

31 0 TO G

3' 8 TC 0

33 LONG

3=. L AT

35 TRK ANG

3s HOG

3 7 VE

3

K

 VN

3* ALTITUD E

O TEMP C

41 EM WSO SPD

<.? NS WNO SPO

••3 W I-ir SFE£ D

<•- *IND OIPE C

i--- * ISSPEI ? R

*', AlfrSPH O C

47 AIRSPEE D L

4 3 DELT A AL T

49 ISPTL PISP

50 UG PIGHT

51 UG CENTE R ""

52 UG IEFT

53 VG PIGHT

5 4 VG CENTE R

5 - J VG IEF T

V WG «K,HT

5 7 W G CENTER "

5 ? KG LEF T

UNITS HIGH

RAD/SE C .185

G UNITS -.988

RAD/SE C .099

R AO

FAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R A D

R AD

DEC F

DEG F

G UNITS

R AO

RAD

RAD

RAD

RAD/SEC

DEG C

PSID

PSID

PSID

PSIA

OEG C

PETER S

DEGREES

DEGREES

ttGPEES

DEGREE S

RADIANS

f/SF C

r/SEC

KM

DEGREES

KNOTS

fHQTS

C'lOTS

TFGMES

f/Se C

M/Si C

N/SF.C

METERS

KETERS

M/SE C

C/SE C

h/SEC

K/SE C

M/SE C

K/SE C

M/SE C

K/SE C

M/SE C

.142

.093

197.797

13.102

560.012

7.666

2.728

2.653

.225

.165

.107

.085

84.772

93.242

1.997

.119

.111

.111

.078

.097

31.194

.772

LOU

-.203

-.988

-.089

.017

-.172

188.267

-1.357

545.930

-1.566

-1.017

-1.234

-.001

-.181

-.111

-.116

84.412

92.883

.059

-.119

-.077

-.095

-.127

-.062

28.733

.449

HE AN

-.00422

-.98774

.00526

.06705

-.007.69

192.60910

3.87888

550.99383

2.62123

1.00524

1.01784

.09954

.01078

-.0023?

-.01296

84.56360

93.06622

.99955

.OC594

.02074

.00727

-.02040

.00385

30.04202

.62099

RMS POINTS

" .05195 3046

.9B774 3046

.02003 3046

=09250 3046

.04553 3046

192.61851 3046

5.26117

551.00461

3.39272

1.06651

1.08046

.10879

.04264

.02641

.04036

84.58366

93.06622

1.01761

.02989

.04011

.02836

.04077

.02798

30.04632

.62492

.751 .457 .61003 .61371

.816 .477 .63242 .63615

11.600 11.549 11.57711 11.57712

19.515 8.063 17.18616 17.30297

8787613.2108785335.744**********************

80.653

-104.474

39.798

188.176

3.466

-8.060

-106.080

1.986

C 26.281

38.766

-12.406

64.639

359.190

108.577

104.174

105.624

29.967

24.435

12.796

13.172

13.386

9.312

10.147

11.679

13.243

11.653

11.716

80.646

-104.486

39.724

184.097

3.298

... -15.5P.3

-118.157

1.951

24.919

-2.099

-59.971

13.712

.37 6

83.45 2

81.775

80.992

-4.967

-1.819

-13.866

-11.294

-12.019

-7.958

-6.189

-8.140

-12.711

-10.150

-10.399

80.64962

-104.47962

39.76100

186.53306

3.37798

-12.5107B

-108.52544

1.96700

25.62738

20.76440

-33.SCB49

41.2P316

326.2?605

95.7237 5

94.0*197

94.85890

10.68019

9.29277

.00000

.OOOOC

.00000

-.01110

-.00670

-.00758

.04382

.04700

.04061

80.64962

104.47962

39.76100

186.53501

3.37815

12.63522

108.55997

1.96701

25.6P817

22.18553

35.83173

42.1439 3

326.80205

95.86241

94.18176

95.00807

13.64230

12.11193

6.40211

6.36536

6.57386

3.12067

3.29584

3.23397

3.26752

3.11261

3.27416

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

30*6

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

3046

A. 349
r

i

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ce (0

Q.

c

O 4->

• o» ! '•- L

-3

Ul

CM •—*o

20 £- = Ti O O

QJ

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>*, >•)

Q t^Q

O O

o o

o o

en co

ORIGINAL PAGE IS

OF POOR QUALITY

(63p)

O

O

o

r*-

o

o

o

VD

o

—1 "3-

- O

O

ir>T

CO

cr>

CO

cu

O

O

O

LO

\ I VCTv

CO

en

c

o

ro

o

V''

CTi

CO

CM

eC

CLI

A.350
ooo13

CT) (Oto<H

•i- O1

o ro

o

i— C CD 3 > oren to u_ cuil to O O)

4-* O

tO C

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<D

QJ M-

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o o o o o

(\J ^H •—I (\J

I I

A.351
Figure A.291. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 39.

I. Mean Airspeed (m/s)

R

107.1 106.0 107.9

II. Standard Deviation of

Gust Velocities (m/s)

a

WXL

5.93

a

w.xc

5.75

a

WXR

5.82

a

WYL

3.06

a

WYC

3.08

a

WYR

3.04

III. Standard Deviation

of Gust Velocity

Differences (m/s)

XRC XRL

1.13 1.17

AMYCL A\RC

1.10 1.10

°AW °AW r«i '7D/-'

UVU LlK\s

1.31 1.29

1.43

iRL

1.15

°A¥ZRL

1.47

CT

WZL

2.84

a

w

zc

2.69

WZR

2.84

IV. Integral Length Scale (m).

Sr

1337

Sr

806

L

V¥

776

Sv

1335 1349

\c V

811

ZL

265 287 258

A.352
1.0 i \ i i i r

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1-RC

2-CL

3-RL

A N

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.292. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 39.

A.353
a

•i—*

o

d

o

3

d»—4

0?

1.

0.

-i.

_L

-I.

0.

WYL

j i i

1000. 2000; 3000.

Spatial Lag ,S=VT(m)

WZR

Wzc

WZL

4000.

Figure A.293. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 39.

A. 354
V

'o

<Tt

t*j

0)

o

o

c

.21Z3

—

"l>

O

o

_c

o

o

£

EORIGINAL PAGE IS

POOR QUAUTY

WXRC

WZRC

T\ -

r

r

 :

WZRL

10CG. 2000. 30:;G. ^CCG.

Spatial Lag ,S-VT(m)

Figure A.294. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 39.

A.355
108

10°

10'!r

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

WHL

von Karman

N= 512

SEG.= 6

mil i ..mill i i....ill i 1,11.

von Karman

N= 512

SEG.= 6

von Karman

N= 512

SEG.= 6

•—von Karman

N= 512

SEG.= 6

—von Karman

H- 512

SEG.= 6

W\

—von Karman

N= 512

SEG.= 6

10~8 10° 10~8 10°

K = <y/V (nT

10°

Figure A.295. Normalized auto-spectra of gust velocities, Flight 6, Run 39,

A. 356
ORIGINAL PAGE IS

OF POOR QUALTTY

"

 10°

10-a r

102

~ 10° r

10-

2

10s

10°

10-

N= 512

SEG.= 6

WXCL

N= 512

SEG.= 6

V

YCL

N= 512

5EG.= 6

V,. "ZCL

r

I i i mini

N= 512

SEG.= 6

N= 512

WYRC

N= 512

SEG.= 6

WXRL

N= 512

3EG.= 6

W YRL

ZRC

i iiiKirl i MIIIII i IIIKII!

1Q-* 10° 10"z 10°

K = u/V (m

10" 10°

Figure A.296. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 39.

A.35 7
ORIGINAL PAGE IS

OF POOR

w

x

w

z

•e-

•6-

i t mill i i nnJ i i imiJ i 11 mil tJiiinii i 11 mm. _i_iiiiBil tiiinii

10- 10~z

 10°

K = 04/V (

10

,-8 10°

Figure A.297. Two-point cross-spectra of gust velocities, Flight 6, Run 39,

A. 358
ORIGINAL PAGE IS

OF POOR QUALITY

TABLE A.72. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 39.

START TIME • 55905.2702 STOP TINE • 95987,6202

CHANNEL

? PHI DOT

3 ACC L N CG

4 THET A DOT

5 THETA

6 PHI

7 PS1 1

ft DEL PSI 1

9 PSI 2

1C DEL PSI 2

11 ACC L N LT

1? ACC L N RT

13 ACC L X CG

!<. ACC L r CG

15 ALPH A CTR

It BET A CTR

17 TEM P I

11' TEK P P

1<V ACC L Z INS

2 0 ALPH A RT

21 BET A PT

? ? ALPH A L T

2 3 BET A LT

2 <• PSI DOT

25 TEflP TOT

?!S OC LT

?7 OC CTP

2 8 OC R T

29 PS

30 TEHP IRT

31 D TO G

32 B TO 0

33 LONG

34 L AT

}•> TRK ANG

3i> HOG

37 VE

33 VN

39 ALTITUD E

40 TFMP C

<>! EU UNO SPO

42 NS WNO SPO

<O *IND S^EF O

<•<• » U-D DIPE C

- ' A I V ': ? E 1 (. «

-- » it!»:it c

4? AIRSPEE D L

< • » DELT A ALT

49 INPTL DISP

50 UG RIGHT

51 UG CENTE R

5? UG LEF T

5 3 V G RIGHT

5 4 VG CENTE R

5t VG IFFT

5 6 WG RIGHT

5? UG CENTE R

5 - W G LEF T

UNITS

RAD/SE C

G UNITS

RAD/SE C

PAD

PAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

R AO

P A D

DEG F

OFG F

G UMTS

P AD

P AD

PAD

P AD

PAD/SE C

DEG C

PSID

PSID

PSIO

PSIA

DEG C

METER S

DEGREES

DEGREES

DEGPEES

DEGREES

PADIANS

r«/SFC

P/SE C

KN

DEGREES C

KNOTS

KNOTS

KNOT S

DfGPEE S

f/i f C

*/SF C

H/SEC

METERS

HETCR S

M/SEC

M/SE C

M/SFC

M/SEC

M/SEC

M/Sf C

M/SEC

M/SE C

M/SE C

HIGH

.172

-.<)8e

.072

.lie

.106

338.329

3.<)61

337.160

3.726

2.330

2.A76

.130

.175

.045

.086

84.409

93.242

1.641

.048

.101

.049

.085

.062

32.277

LOW

-.154

-.986

-.064

.003

-.106

330.940

-3.327

329.774

-3.536

-.556

-.402

-.012

-.187

-.107

-.115

83.693

93.062

.225

-.109

-.079

-.107

-.105

-.054

29.816

MEAN

-.00237

-.98774

.00582

.05137

-.01141

335.03794

.83103

333.89185

.61627

1.01041

1.02234

.05864

.01240

-.02544

-.01404

84.01969

93.13788

1.00125

-.0214(

.01899

-.02031

-.02040

.00387

31.04272

RMS

.04220

.98774

.01914

.05789

.03592

335.04171

1.78121

333.89542

1.68869

1.07086

1.08120

.06468

.04468

.03164

.03103

84.01976

93.13793

1.01663

.03053

.03191

.02841

.03242

.02234

31.04845

.965 .646 .79508 .79859

.936 .640 .77999 .78322

.982 .653 .60809 .81140

11.626 11.502 11.59280 11.59264

20.918 14.295 17.42756 17.54250

8786506. 17687 83867. 62 7****»*» ***************

60.661

-104.472

39.789

332.736

5.903

-44.833

08.191

2.019

26.301

16.791

l.ORft

42.38 8

359. <37?

119.079

116.443

117.697

12.271

9.396

11.647

11.720

11.380

8.776

9.409

9.237

8.078

7.080

7.472

80.619

-104.517

39.726

329.602

5.772

-48.747

83.063

1.932

24.697

-22.972

-41.946

1.127

.010

97.22 2

9S-.273

96.760

-75.207

-74.293

-13.346

-12.156

-11.957

-8.283

-7.626

-8.620

-8.164

-9.264

-10.473

80.64035

-104.49450

39.75742

331.38115

5.84631

-46.83638

85.68067

1.95609

25.43610

-6.53624

-20.94099

-23.30554

72.3f97 5

107.87S3 8

1C6.CZES8

107.01836

-51.00719

-50.95554

-,00000

-.00000

-.00000

-.02960

-.02785

-.02914

.01888

.02525

.0.71B1

80.64035

104.49450

39.75743

331.38225

5.84636

46.85199

85.89522

1.95622

25.4373 9

9.05188

23.5?89 8

25.21010

134.?040f

107.<?P7f,9

1 Of!. 1377 3

107.13515

55.55011

56.20205

5,70668

5.63662

5.82163

2.97476

3.01477

2.99643

2.82416

2.67412

2.B3194

POINTJ

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

329 4

3'94

3? I*.

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

3294

32«54

A.359
ORIGINAL PAGE IS

OF POOR QUALfTY

10

 I

HI +->

o: ro

CL.

O -t->

•r- J=

•*-• cr, i

u •'- ttl) i—

Q O

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0-5 .

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(Bap)

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A. 360
o

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a;

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cu

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A. 361
TABLE A.71 . Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 40.

I. Mean Airspeed (m/s)

R

105.8 104.6 106.4

II. Standard Deviation of

Gust Velocities (rn/s)

a

WXL

2.15

a

w.xc

2.06

WXR

2.14

a

WYL

2.85

a

w.

2.86

a

WYR

2.80

III. Standard Deviation

of Gust Velocity

Differences (m/s)

HCL XRC XRL

CT

WZL

3.05

<7

W,zc

2.92

a

WZR

2.99

0.88

1.01

ZCL

1 . 09

0.97

0.96

ZRC

1 . 05

1.11

HCL HRC XRL

1.04

ZRL

1.27

IV. Integral Length Scale (m).

368

658

Sr

424

613

c

437

*YC V

645

523 556 562

A.362
1. 0 ~~ "i i" I "i

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1-RC

2-CL

3-RL

A W

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.299. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 40.

A.363
G

0)

<u

o

e

o

O

u

I

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.300. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 40.

A. 364
£

'3

0)

o

0

G

O

u

o

1.

0.

-1.

_j L

WXRC

4_ —i.

WXCL

WXRL

j .

i ^-~- I

WYR L

R-

'o

CL,

I

o

6-

Spatial Lag ,.^=\

Figure A.301. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 40.

A. 365
102

10°

10

-t

b

\

1?

%

5?

10o

lO'V

von Karman

N= 512

SEG.= 3

Wy

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

XC

von Karman

N= 512

SEG.= 3

von Karman

N= 512

SEG.= 3

iinj I I i unit I I I mm I I I mil i I itlilll I I 11 unl I I I mill I I I inn i i i 11 ml I I I mill tin lull I i i mill

von Karman

N= 512

SEG.= 3

WXR

— von Karman

N= 512

v- SEG.= 3

von Karman

N= 512

.= 3

1Q-8 10° 10~8 10°

K = u/V (m

10" 10°

Figure A.302. Normalized auto-spectra of gust velocities, Flight 6, Run 40.

A. 366
ioa

 ;

6"1

6" 10°

1<

2

10s

6""

b~ 10°

10s

•e- 10-z

N= 512

SEG.= 3

WXCL

N= 512

SEG.= 3

N= 512

SEG.= 3

WZCL r

I I innj i i mull i I < mill i i iin

N= 512

SEG.= 3

WXRC

N= 512

SEG.= 3

WYRC

N= 512

5EG.= 3

WZRC

N= 512

SEG.= 3

WXRL

N- 512

SEG.= 3

N= 512

SEG.- 3

WZRL

iini j pirnt t i ^HUI t_i_iiitn i i min ....... ' - I.I Illlll — '

10~8 10° 10~8 10°

K = u/V (m

10°

Figure A.303. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 40.

A. 367
W X

N Z

102

^

•6«'

10

-2

—LL

—• LC

—LR

W

x

W Y

i

rt" - v

l

IT

r r

rf

'iiinitj imntj iininft ..... m

• Tf

rf

-LL

-LC

-LR

10

"_ 10°

10

rr

ml , ,,i,,,,l i. ,,11.1 II I

' CL

I in! i i mini i i in ml i i ninJ

FIT

RL

—-RC

ioz10°

,,,J ,,,„„! i ,,J

ID'8 10°

K = cj/V (n

ic

8

10°

Figure A.304. Two-point cross-spectra of gust velocities, Flight 6, Run 40.

A. 368
ORIGINAL

POOR

TABLE A.72. List of All Parameters Measured and Their Range of Values,

Fli.ght 6, Run 40.

STAR T TIME • 96010.3354 STOP TINt

CHANNE L

. ; HI DOT

3 ACCL N CG

<• THETA DOT

S THETA

h ''HI

7 PSI 1

1 DEL PSI 1

9 PSI 2

10 OEl PSI 2

11 ACCL N LT

1? ACCl N PT

13 ACC L X CG

14 ACC L Y CG

1 '" ALPH A CTR

It BETA CTR

17 TEMP I

lr TEMP P

13 4CCL Z INS

?c ALPH A PT

21 BETA RT

?? ALPH A LT

23 BET A LT

?<• PSI 03T

?v TEMP TCT

-V. OC IT

?7 OC CTR

? 3C RT

23 PS

30 TEMP IPT

31 D TO G

3? 8 TO 0

•>3 LONG

34 L AT

-"> TPK AMG

JK HOG

- .7 VE

3 rt VN

? <V ALTITUDE

-: TEr.PC

41 Ek kNO SPD

<•:• NS kNO SPO

<.3 WI'P SPrF D

-<• WI.'-C OI»£C

• A I K S P £ t C P

- ; A I P 5 P 1 1 0 C

<•? AIRSPEED L

<•" DELTA ALT

45 INRT L DISP

b: UG BIGHT

5l"L!G CENTE R

'..? UG I EFT

53 VG RIGHT

5 <. VG CENTE R

5v VG LEFT

*~. WG PI GUT

57 kG CENTE R

','. W G 1 E F T

UNITS

RAO/SEC

G UNITS

PAD/SEC

K AO

R AO

DEGREES

DEGPEES

DEGREES

DEGREES

C- UNITS

G UNITS

GUN ITS

G UNITS

R A D

PAP

DEC F

CEG F

G UNITS

R AD

R AD

R AO

R AD

PAD/SEC

PEG C

PSIO

PSID

PMO

PSIA

TEG C

METERS

CEGFEES

PEGPEES

P'GREtS

PECRfE S

RADIAN S

M/SEC

M/SEC

KM

fiCPEES C

KN3TS

KNOTS

>SflTl

CfGFEE S

-/SEC

M/SEC

M/SEC

METERS

METERS

H/SEC

M/SEC

f/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.179

-.988

.058

.128

.066

6.135

2.493

364.275

2.315

2.230

2.140

.200

.153

.053

.058

84.053

93.242

1.558

.067

.079

.058

.047

.066

31.096

.679

.86?

.835

11.634

17.050

LOW

-.146

-.988

-.051

.013

-.058

.197

-3.356

358.290

-3.595

-.527

-.122

.007

-.145

-.080

-.100

83.693

93.062

.525

-.071

-.056

-.065

-.100

-.047

29.520

.645

.614

.646

11.576

13.212

MEAN

-.00267

-.98774

.00505

.04891

.00414

3.26515

-.48054

361.27731

-.71680

1.01654

1.02990

.07273

.01367

-.02279

-.01318

83.68773

93.17067

1.00885

-.01971

.01963

-.01607

-.01774

.00393

30.37338

.77702

.75952

.78587

11.59347

15.65904

R MS

.03714

.98774

.01624

.05807

.02405

3.57634

1.51600

361.28005

1.60520

1.05549

1.06547

.08177

.04644

.02794

.03069

83.88783

93.17071

1.01933

.02614

.03161

.02290

.03064

.02554

30.37563

.77858

.7610P

.78748

11.59348

15.69241

P 78 5262. 59287 8384 3. 44 3*»***»* ****+*•****»***

80.612

-104.515

39.857

7.872

.12?

14.054

108.191

1.966

25.564

18.739

8.277

19.237

359.950

112.823

111.370

112.439

32.074

28.663

5.046

4.838

5.488

6.225

6.761

6.417

5.824

5.714

6.267

80.6C8

-104.522

39.8C9

3.470

.017

5.936

97.900

1.9?8

24.006

-16.000

-12.067

.379

.049

96 . t \ 0

94.278

96.532

-8.112

-7.178

-6.615

-5.778

-5.P40

-10.546

-10.882

-10.571

-10.724

-10.528

-11.191

80.60972

-104.51675

39.83249

6.06472

.06642

11.133d3

103.61092

1.95561

24.92045

5.0<5ie9

-1.24068

~ 8.16661

249.1S360

106.37677

104.61910

105.79126

19.73527

18.49654

-.00000

".OOOGO

.OCOOO

-.00650

-.00893

-.007513

.06696

.06524

,0t250

80.60972

104.51875

39.83249

6.20982

.0731P

11.42302

103.6<:'89fr

1.95564

24.9214P

7.81928

4.29801

8.9??67

262.91773

1G6..4M53

104.t)728P

105.84438

22.47333

21.15555

2.23875

2.17632

2.22041

2.9675P

3.02734

3.01135

2.84189

2.74410

2.86020

POIN1

£. '-• 2 1

2051

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2051

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A.369
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A.371
TABLE A.74. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 41.

I. Mean Airspeed (m/s)

105.1 104.1

R

106.0

III. Standard Deviation

of Gust Velocity

Differences (m/s)

XCL XRC

1.01

0.95

1.02

CL

 A\RC

0.97

1.11 1.17

1.24

1.04

1.31

Standard Deviation of

Gust Velocities (m/s)

<7

W

XL

2.43

a

W

YL

2.08

a

W

ZL

2.44

(7

wxc

2.40

a

W

YC

2. 10

cr

wzc

2.31

a

W

XR

2.47

a

W

YR

2.06

CT

W

ZR

2.49

IV. Integral Length Scale (m).

\L \

905

V

706

876

715

911

802

ZL ZC

237 260

ZR

235

A.372
1.0

0.8

i r R'=' riigh't

C = Center W

L = Left

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.307. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 41.

A.373
<u •*^

o

<U

O

o

33

a

fc

o

u

I

o

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

WOO.

Figure A.308. Single-point auto-correlation coefficient of gust velocities:

Flight 6, Run 41.

A.374
WXRC

V

cS

c

o

Eo

u

I

•

0,

i

o. 1000. 2000, 3000.

Spatial Lag ,S=VT(m)

4000.

Figure A.309. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 41.

A.375
von Karman

N= 512

SEG.= 8

10*

10°

10~s

—von Karman

N= 512

SEG.= 8

•von Karman

N= 512

SEG.= 8

,1 .11,,,,.

von Karman

N= 512

SEG.= 8

Wxc

—von Karman

N= 512

SEG.= 8

von Karman

N= 512

SEG.= 8

, .1 1 , , ,,,,,J , ..mill

—von Karman

N= 512

SEG.= 8

—von Karman

N= 512

SEG.= 8

Wv

—von Karman

N= 512

5EG.= 8

W,

10~8 10° 10~8 10°

K = u/V (m

10°

Figure A.310. Normalized auto-spectra of gust velocities, Flight 6, .Run 41

A. 376
102

10*

- 10°

108

b~*

b" 10°

\

S

N= 512

SEG.= 8

WXCL

N= 512

SEG.= 8

v+•"•*.

N= 512

5EG.= 8

i uiiiJ i i i uiiJ i ii mill

N= 512

SEG.= 8

WXRC

ill i in uj i i i mill

N= 512

SEG.= 8

YRC

\

, ....... 1 , ...... ,1 , ,,,,,,,1

N= 512

SEG.= 8

WZRC

N= 512

SEG.= 8

WXRL

N= 512

S^G•— 8

*

*v,

N= 512

SEG.= 8

. WZRL

10° io~8 10°

/c = u/V (m

10,-B 10°

Figure A.311. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 41.

A.377
w

x

w

z

•e-

:=•

102

10°

10

,-a

IF

r r

if

rr

—LL

—-LC

—LR

w x w y

v^fc

»m%

— LL

^.

••

•er r

r

 i i iiiml t i M mil i i uiutl i i iniiJ

CL

-—CC

—CR

"-p

i imnJ i niniJ i iiiuj i iiimil

rr

rf

rr

' i iintiii i i mini i i iiiml I I uiiij

RL

—-RC

—RR

rr \

rr

" i ninJ i tinJ iiinij i i mm i mini i until t i HUH i lima ' i niiittt i iiuim i numl i mini

10

1-8 10° 10~z

 10°

K = u/V (

101-8 10°

Figure A.312. Two-point cross-spectra of gust velocities, Flight 6, Run 41

A. 378
TABLE A.75.

ORIGINAL PAGE IS

OF POOR QUALITY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 41.

STAPT TIfE 56114*5905 STOP TINE • 56223.5155

CHANNEL

2 PHI DOT

3 ACCl N CC

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

6 OFL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACC L N IT

12 ACCL N RT

J3 ACCl X...C5

14 ACCL Y CG

15 ALPHA CTR _

16 BETA CTR

17 TEMP I

IB TEMP P

19_ACCL,1 INS__

20 ALPH A PT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

26 OC IT

27 OC CTR

26 OC RT

29 PS

30 TEMP IRT

31 D TO 6

32 B TO 0

33 LONG

34 LAT

39 TRK ANG

36 HOG

37 VE

3d VN

39 ALTITUDE

40 TEKPC

41 EU UNO SPD

42 NS UNO SPD

43 WIND SPEEO

44 tflKC DIBEC

-' ilPSFEIG 9

-i UtSPEf 0 C

47 AIRSPEED L

48 DELTA ALT

49 INPTL OISP

50 UG RIGHT

"5fUG CENTER

52 UG lEFf

53 VG RIGHT

54 VG CENTER "

55 VG LEFT

56 UG PIGHT

57 WG CENTER

58 UG IEFT

UNITS

RAD/SEC

G UNITS

RAD/SEC

RAD

R AO

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

CUNITS

G UNITS

PAD

RAD

OEG F

DEC F

G UNITS

RAD

PAD

PAD

RAO

RAO/SEC

DEG C

PSIO

PSID

PSIO

PSIA

DEG C

PETERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

H/SEC

M/5EC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

CEGPEE S

*/SE C

C/5C C

P/SEC

METERS

PETERS

M/SIC

M/SEC

H/SEC

M/SEC

M/SEC "

M/SEC

M/SEC

M/SE C

M/SEC

HIGH

.195

-.986

.076

.087

.135

164.336

1.081

522.695

.766

2.610

2.607

.168

.171

.077

.069

64.053

93.242

1.670

.093

.083

.086

.038

.045

33.163

.923

.906

.929

11.644

20.119

low

-.264

-.986

-.068

.009

-.167

156.346

-4.654

517.063

-5.154

-.487

-.597

-.005

-.166

-.090

-.078

83.693

93.062

,343

-.089

-.035

-.084

-.078

-.035

28i930

.636

.622

.648

11.476

13.212

NEAN

-.00222

-.98774

.00607

.04613

-.01356

161.19206

-1.9596C

519.77113

-2.25919

1.01637

1.02977

.05129

.01116

._._ -.02254

-.01485

83.89523

93.23297

1.00706

-.01504

.01671

-.01518

-,02066

.00300

..31., 19861.

.76579

.75010

.77810

U. 60552

17.63910

RMS

.04297

.98774

.01724

.05054

.03833

161.19659

2.29254

519.77245

2.55204

1.06592

1.07588

...05566

.04804

.02671

.02585

63.89529

93.23298

1,0208?

.02499

.02674

.02465

.02820

.01679

—111, 2078 5

.76743

.75178

.77986

11.60553

17.92344

8790627.0728787803.405**********************

80.689

-104.426

39.843

159.919

2.667

46.972

-101.787

2.036

27.232

38.152

-.365

40.733

334.831

115.^65

114.320

115.371

65.825

0.000

5.270

5.847

5.190

7.816

7.644

6.407

9.586

8.524

8.609

60.632 60.66049 80.66049

-104.482 -104.45448 104.45448

39.739 39.79119 39.79120

156.300 157.58712 157.58868

2.761 2.81306 2.61315

36.004 43.76572 43.64302

-109.307

1.921

24.043

6.096

-24.866

10.891

271.113

97. CIO

95.086

96.260

-49.786

-51.255

-6.931

-7.793

-7.325

-6.556

-7.428

-6.326

-10.109

-8.568

-9.651

-105.94567

1.94723

25.60170

22.65012

-13.56281

-26.67774

SCO. 90150

105.95941

104.07812

105.14001

-23.42937

-25.80172

.00000

.00000

.00000

.00916

.01171

.00985

-.01669

-.01234

-.01640

105.97256

1.94726

25.80765

23.14678

14.19364

27.15214

301.0?f87

106.0U03

10«i. 133P*

105.19363

25.57826

27.70937

2.43528

2.37548

2.41426

2.15967

"2.2094 9

2.20379

2.46667

2.28615

2.42076

POIHTS

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

.435 7

4357

4357

4357

4357

4357

4357

4357

4357

._..4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

435 7

435 7

435 7

*35 7

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

4357

A.379
ORIGINAL PAGE IS

OF POOR QUAUTY

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A. 381
TABLE A.76. Average Turbulence Parameters and Integral Length Scales

Flight 6, Run 42.

I. Mean Airspeed (m/s)

110.3 109.2 111.1

HI. Standard Deviation

of Gust Velocity

Differences (m/s)

1.00 1.03 1.24

XCL XRC

0.97 0.98 1.06

n. Standard Deviation of

Gust Velocities (m/s)

o~

WXL

3.49

a

WYL

2.63

a

WZL

2.72

V. Integral

a

w

xc

3.43

a

WYC

2.69

a

w

zc

2.71

Length

cr

WXR

3.46

cr

2.67

cr

WZR

2.83

Scale (m)

\L \C \R

814 790 824

YC S»

2088 2118 2172

1.16 1.32

461 511 451

A. 382
1.0 i i i | i i i r

W

o.o

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0 iiii|r\\ r

1-RC

2-CL

3-RL "

A W

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.315. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 42.

A. 383
ID

O

U

a

o

o

o

I

o

I

0. 1000. 2000.' 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.316. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 42.

A. 384
ORIGINAL PAGE IS

Of. POOR QUAi/TY

u

"u

£3

«*-(

0)

o

o

c

o

"aj

1

O

U

I

I

&,

i

i.

0.

-1.

0.

-1.

0.

-J I i I _J L

1000. 2GOO. 3000.

Spatial Lag ,S=VT(m)

WXRC

WXRL

WYCL

WZCL

WZRL

Figure A.317, Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 42.

A. 385
102

10°

10-'r

102

10°

10-'r

von Karman

N= 512

SEG.=10

—von Karman

N= 512

SEG.=10

—von Karman

N= 512

SEC.=10

IB lit itiin i i i iiiitl i i i mi

von Karman

N= 512

SEG.=10

i i mill i i mull i I I mill i

—von Karman

N= 512

SEG.=10

Wv

von Karman

N= 512

5EG.=10

i i imil i tn mil i i i iiiij i i i

von Karman

N= 512

SEG.=10

—von Karman

N= 512

SEG.=10

—von Karman

N= 512

SEG.=10

I nml i i I mill i iiiinil

10

-8 10° \Q~Z

 10° icr8

K = <y/V (m-1)

10°

Figure A.318. Normalized auto-spectra of gust velocities, Flight 6, Run 42.

A. 386
10a

6

6"

102

r 10°

10s

-

 10°

N= 512

SEG.=10

WXCL'

1 Illlllll 1 umlll 1 ..... Ill

N= 512

SEG.=10

N= 512

SEG.=10

WZCL

+

+

N= 512

SEG.=10

WXRC

N= 512

SEG.=10

N= 512

SEG.=10

N= 512

SEG.=10

WXRL

. .uinil i , miiil I . I i,mil

N= 512

SEG.=10

,,, mil

N= 512

5EG.=10

WZRL

10

-8

10° io~8

 10°

K = u/V (m

ic

2

10°

Figure A.319. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 42.

A. 387
*e<

io

10

,-a 10° 10° 10" 10°

K = u/V

Figure A.320. Two-point cross-spectra of gust velocities, Flight 6, Run 42

A. 388
TABLE A.77. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 42.

START TIME • 56283.4507

CHANNEL . UNITS HIGH

2 PHI OOT

3 ACCL N CG ....

4 THETA DOT

3 THETA

6 PHI

7 PSI 1

8 DEL PSI" 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCL X CG

14 ACCL r CG

15 ALPHA CTR

16 BETA CTR

17 TEMP I

18 TEMP P

19 ACCL Z INS; ...

20 ALPHA RT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT

?6 OC LT

27 OC CTR

?8 OC RT

29 PS

30 TEMP IRT

31 0 TO G

32 B TO D

33 LONG

34 L*T

35 TRK ANG

36 HDG

37 VE

38 VN

39 ALTITUDE

40 TE*PC

41 EM MNO SP0

43 •I-«0 SPEED

44 tolND UJOt C

«6 AlSSPEfO C

47 AIRSPEED I

48 DELTA ALT

49 INRTL OISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 KG MGHI

57 WG CENTER

58 KG LEFT

RAD/SEC

G UNITS

RAD/SEC

KAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS

G UNITS

RAD

RAD

DEC F

DEG F

G UNITS

RAO

RAD

RAD

R AO

RAD/SEC

DEG C

PSID

PSID

PSID

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RACIAKS

M/SEC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREE S

M/SEC

M/SEC

M/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

.138

-.988

.097

.105

.066

330.587

4.667

329.422

4.578

2.682

2.875

.184

.206

.033

.047

83.693

93.422

1.734

.046

.083

.053

.041

.074

33.360

STOP TIME

LOW

-.162

-.988

-.072

.004

-.102

322.838

-2.972

322.029

-3.095

-1.189

-.740

-.016

-.159

-.129

-.104

83.153

93.242

-.C29

-.133

-.061

-.124

-.107

-.047

29.520

• 56423.6007

MEAN RMS POINTS

•.00265

-.98774

.00613

.04763

-.01209

326.98084

1.15246

326.08771

1.01141

1.01321

1.02660

.05184

.01174

-.03043

-.01628

83.36934

93.25097

1.00453

-.02804

.01666

-.02711

-.02246

.00343

31.59253

.03744

.98774

.01818

.05252

.03206

326.98348

1.73963

326.09023

1.65204

1.07128

1.08265

.06614

.04861

.03583

.02841

83.36942

93.25096

1.02099

.03527

.02695

.03390

.03089

.02006

31.60951

1.096 .621 .84609 .05206

1.071 .623 .82872 .63446

1.118 .664 .85894 .86478

11.628 11.566 11.59495 11.59496

20.119 6.907 16.19509' 16.46314

8787725, 3768760405. 299*«******»* *«*»***«****

80.666

-104.461

39.852

324.209

5.765

-61.562

94.564

1.974

27.805

-1.285

10.401

34.969

133.063

126.395

123.772

125.129

.162

0.000

9.835

9.232

10.304

7.669

8.288

8.061

9.348

9.432

8.829

80.571

-104.572

39.741

320.742

5.629

-71.762

80.655

1.931

23.602

-28.6C6

-28.671

5.427

3.7/3

98.444

95.446

95.282

-43.030

-41.333

-9.772

-9.407

-9.043

-8.354

-8.C53

-8.403

-8.789

-8.853

-10.260

80.61816

-104.51618

39.79765

322.43791

5.70170

-66.74599

86.86699

1.95458

25.64363

-16.14936

—10.30237

20.44743

6C.22U36

111.08026

109.15326

110.26046

-19.74658

-18.71720

-.00000

-.00000

-.00000

-.03780

-.03310

-.02826

.02436

.03277

.01775

80.61817

104.51618

39.79766

322.43935

5.70175

66.63435

86.98377

1.95460

25.66275

16.64620

12.73165

20.95668

64.02796

Ul. 25600

109.32959

110.44126

21.87875

21.30954

3.50538

3.47702

3.53921

2.61337

2.62578

2.57109

2.93621

2.88509

2.85266

5686

5686

5686

5686

5686

3666

5686

5686

5686

5686

5686

5686

5686

5666

5686

5686

5686

5686

56t36

5686

5686

5686

5686

5686

"5686

5686

3686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5666

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

5686

A. 389
ORIGINAL PAGE IS

OF POOR QUAUTY

V

•2.C

<U 4J

01 as

D.

C

O -»-»

••- -C

*J D>

O "-

O) rQ O

•M

-o

1 1

C\J

•^

o

I I

(U

O 3

C\J

tr>

O

CO

(Bap)

2Q" 0 "<

C^ W

CO

?§

»5r~

in "

(U 4) <O

4J E 5-

03 •- £

Q j— Q

o>

i.

3

o

c

o

<o

ttt)

o

o

o

o

o

o

00

O

O

o

rv.

o

o

o

*C-> O

CTV

00

o»

IE

CO

C\J

o

o

o

m

ro

o

Mc

03

Q.

CM

ro

O)

s.

3

CD

A. 390
oCDVI

<L>

OOCD>3cn -oc. to0)

•r- CO

o •*

o

CT)

CU

•i— **

i.. i/> o cu

-!-> 0

t/1 C

•r- CU

.E S-01 cu *•-

C\J

OvJ cu

A.391
Figure A.323. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 43.

I. Mean Airspeed (m/s)

102.7 101.7 103.5

II. Standard Deviation of

Gust Velocities (m/s)

WXL

4.82

a

WYL

3.50

a

4.74

a

WYC

3.48

cr

WXR

4.85

CT

WYR

3.35

III. Standard Deviation

of Gust Velocity

Differences (m/s)

1.16 1.24 1.49

1.24 1.25 1.39

ZRC

1.48 1.52 1.59

3.00

w

zc

2.88

(7

WZR

3.09

IV. Integral Length Scale (m).

S

Sr

1107 1082 1080

2322 2226 2336

505 581 479

A. 392
1.0

0.8

0.6 •PH

.0

0.2

R = Righ't

C = Center

 w

L = Left

o.o

-5.

I I I I | I I I I

W

i _ij_rffl i I i 9^' '

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.324. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 43.

A.393
a

0)

<u

o

u

d

o

<uSi

t*

o

u

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.325. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 43.

A. 394
a

o>

o

o

c

o

I

o

R

'S

Pu,

I

O

E0. 1000. 2000, 3000.

Spatial Lag ,S=VT(m)

30CG.

Figure A.326. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 43.

A. 395
108

10°

10-

von Karman

N= 512

SEG.= 8

von Karman

N= 512

SEG.= 8

i i i mm i i i

von Karman

N= 512

SEG.= 8

Illlllj ' llllllJ 1 I I mill i i I inn

von Karman

N= 512

SEG.= 8

Ny

—von Karman

N= 512

SEG.= 8

Wy

von Karman

N= 512

SEG.= 8

i 11innl

von Karman

N= 512

SEG.= 8

WXR

—von Karman

N= 512

SEG.= 8

von Karman

N= 512

5EG.= 8

i mini i I 'I I i """I i I mull

ic

8

10° Q-8

 10°

* = <y/V (m-1)

io810°

Figure A.327. Normalized auto-spectra of gust velocities, Flight 6, Run 43,

A. 396
108

 r

* 10-2

102

•e- 10-s

108

^•e<

N= 512

SEG.= Q

WXCL

N= 512

SEG.= 8

WYCL

N= 512

5EG.= 8

N= 512

5EG.= B

WXRC

N= 512

SEG.= B

N= 512

SEG.= 8

N= 512

SEG.= B

WXRL

N= 512

SEG.= B

WYRL

N= 512

5EG.= 8

10° io~8 10°

K = u/V (m

10' 10°

Figure A.328. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 43.

A.397
w

x

w

z

•e<

•e10

10*

io8

10-* 10°

'lllllJ lllllllJ . lll.llj Illlllj

10~B 10°

ic = Q/V (r

10~

8

10°

Figure A.329. Two-point cross-spectra of gust velocities, Flight 6, Run 43.

A. 398
ORIGINAL PAGE IS

OF POOR QUALTIY

TABLE A.78. List of All Parameters Measured and Their Range of Values,

Flight 6, Run 43.

START TINE • 96470.4260 STOP TIME • 56585.6010

CHANNEL

2 PHI DOT

3 ACCL N CO

4 THETA DOT

5 THET4

6 PHI

7 PSI 1

8 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCL X CG

14 ACCL Y CG

19~ALPHA CTR

16 BETA CTR

17 TEMP I

18 TEMP P

19 ACCL Z INS

20 ALPHA RT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEPP TOT

26 QC LT

27 OC CTR

?8 OC RT

29 PS

30 T IMP IRT

31 D TO G

32 B TO 0

33 LONG

34 LAT

35 TRK ANG

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEMPO

41 EM UNO SPO

42 NS MNO SPO

43 UNO SPEED

«•<• Wlr«0 OI»EC ""

45 »l-SfeE D B

46 MSS^tO C

47 AIRSPEED L

48 DELTA ALT

49 INRTL OISP

50 UG RIGHT

51 UG CENTER

52 UG LEFT

53 VG RIGHT "

54 VG CENTER

55 VG LEFT

56 WG RIGHT

57 WG CENTER

58 HG LEFT

UNITS

RAD/SEC

G UNITS

RAO/SEC

RAO

RAD

DEGREES

DEGREES

DEGREES

DEGREES "

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

OEG F

DEG F

G UNITS

RAD

RAD

RAD

RAO

RAO/SEC

DEG C

PSID

PSIO

PSIO

PSIA

DEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SEC

H/SEC

KM

DEGREES C

KNOTS

KNOTS

KfiCTS

DEGREES""""

H/SfcC

K/SIC

H/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC'

M/SEC •

H/SEC "

M/SEC

M/SEC

HIGH

.165

-.988

.144

,131

.112

277.753

2.611

275.207

2.344

4.264

3.873

.194

.214

.085

.091

63.513

93.422

2.543

.082

.108

.102

.069

.085

33.656

1.063

LOW

-.223

-.988

-.105

.OC6

-.127

268. V47

-6.C89

266.758

-6.329

-1.949

-1.213

-.026

-.136

-.101

-.164

82.973

93.242

.007

-.120

-.086

-.098

-.151

-.072

28.634

.541

MEAN

-.00211

-.98774

.00569

.06641

-.00446

272.97135

-2.03655

. 270.72327

-2.30509

1.01291

1.02445

.07407

.01026

-.01883

-.01776

83.27363

93.34636

1.10390

-.01173

.01651

. -.01102

-.02360

.00357

30.58369

.73396

RMS

.05105

.98774

.02057

.07204

.03860

272.97574

2.55J42

270.72745

2.76279

1.09187

1.09776

.06655

.04311

.03039

.03627

83.27389

93.39638

1.02453

.02967

.03253

.02909

.03746

.02446

30.61276

.74242

1.024 .525 .71699 .72723

1.055 .541 .74459 .75316

11.634 11.420 11.59036 11.59036

18.497 7.371 14.90966 15.01359

8776211. 2518763565. 709**»**»*********»»*****

80.530 80.429 80.48134 80.48134

-104.626 -104.777 -104.69931 104.69932

39.877 39.874 39.87461 39.87481

273.969 269.759 271.34337 271.34574

4.U60 4.702 4.77539 4.77943

-112.109 -129.658 -120.20902 120.37454

8.447

2.077

27.311

-1.586

14.280

58.6*1

173.662

122.975

121.142

123.909

113.721

19.632

10.697

10.519

9.432

12.859

"14.425

9.372

10.188

10.455

12.177

-.483

1.928

23.604

-57.239

-24.705

6.666

31.506

68.6t3

87.353

88.657

" -35.422

-17.614

-17.261

-17.429

-18.897

-7.612

-7.787

-8.146

-9.725

-9.034

-9.581

2.90264

1.95777

25.40764

-36.67363

-10.11370

~ 38.49696

74.95791

103.45700

1C1. 70340

102.73223

-5.41792

-2.44869

.00000

.00000

.00000

.06192

.06730

.06633

.01266

.02866

• ~" .00414

3.80837

1.95780

25.42082

37.64368

11.92790

39.67tJ95

75.57034

103.74037

ibl .940761

103.01391

10.78235

9.07060

4.84265

4.73009

4.81697

3.34388

3.47412

3.4B612

""" 3.09410

2.86406

2.99761

POINTS

4287

4287

4287

~ 4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4287

4267

4287

4287

4287

4287

4287

4267

4287

4267

4267

4287

4287

4287

4287

4287

4287

4287

4287

""4267

4287

42B7

4287

4287

4287

" 4287

4287

4287

4287

4287

4287

4287

4287

4267

A. 399
<

uO) -

M

Q£ fOa.

cO •!-> O ••- s_ IZ o o -a

CVJ

«a- 2o

/

OT cu

O 3 i •<-o> CMin

5

(6ap)

CM —"O

X) I— C

5> Q O

r- S O, , Q

J

- (£) ««

_ o

3 in ^

^ "~ o

.. . .-*J

cy (if ro

*J E 3-

Q I— O

i-O4JCo2

CU

CM

ca;CD0H-C(OQ. oCOCOOl

CT) . Oooen ooooo Ooor^ ooo oooin A. 400
o

o

o

QJ

>

en

-a

in

0>

0

o

CU

l/l <^5

3

O>4->

(/I LJ_

<D

i- CO

O OJ

+-> O

CO C

.c s_

<D

CO

CO

•<

QJ

CD

O O O O O (X( ,_, ^-i (\J

I I (S/UI)

a o o a o

CM —i —' CM

I I

A.401
Figure A.332. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 44.

I. Mean Airspeed (m/s)

R

106.9 105.8 107.7

III. Standard Deviation

of Gust Velocity

Differences (m/s)

CL

1.10 1.12 1.38

1.04 1.08 1.19

1.24 1.28 1.43

Et. SLandard Deviation of

Gust Velocities (m/s)

a

W

XL

3.27

cr

W

YL

3.59

a

W

ZL

2.70

a

wxc

3.12

CT

W

YC

3.55

a

wzc

2.57

a

W

XR

3.26

a

W

YR

3.53

a

2.72

IV. Integral Length Scale (m).

446

831

740

\c

464

XL \c

827

Ww

zc

771

503

877

647

A. 402
1.0 i i i i i i r

W

0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.333. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 44.

A. 403
C

4)

<U

O

ti

O

<u

IH

In

O

O

I

O

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

1000.

Figure A.334. Single-point auto-correlation coefficient of gust velocities,

Flight 6, Run 44.

A. 404
a

o

1*J

a

I

o

o

o

R

O

ft,

O

ORIGINAL PAGE IS

OF POOR QUALITY

1000. 2000. 3000. 1000.

Spatial Lag ;S=VT(m)

Figure A.335. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 44.

A. 405
•von Karman

N= 512

SEG.= 5

ll.ll .1,1

von Karman

N= 512

SEG.= 5

•von Karman

N= 512

SEG.= 5

nit) i i i imj I I I mill i I I mil i i i iniii

von Karman

N= 512

SEG.= 5

Wv

„„!

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

von Karman

N= 512

SEG.= 5

Wy

von Karman

N= 512

SEG-.= 5

von Karman

N= 512

SEG.= 5

W7

10

-2 1Q0 1Q-2 1Q0

K = u/V (m-1)

10

,-2 10°

Figure A.336. Normalized auto-spectra of gust velocities, Flight 6, Run 44.

A. 406
103

•6- 1Q-z r

102

r 10°

io8

108

N= 512

SEG.= 5

,,,J ....... J ....... ,1 ,

N= 512

SEG.= 5

WYCL

V

N= 512

3EG.= 5

i i iiinn i i mud i i itiuil i i iii

N= 512

SEG.= 5

WXRC

N= 512

SEG.= 5

N= 512

SEG.= 5

ut i i mud i i i mill i t i inn

N= 512

SEG.= 5

N= 512

SEG.= 5

N= 512

5EG.= 5

*

mill i t in nil t i .1.1 mil i iiiiini

10-

8

 10° io~8 10°

ic = ej/V (m

ic

8 10°

Figure A.337. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 44.

A. 407
•e-

•6*

::?

IO8

10°

io-2

102

10°

io-8

10*

10°

io-»

r

—

_

r

-

r

r

—

r

•

•

-

.

-

•

-

r

r

r

r

<r

•

•

•

\

r

r

r

r

r

:

r

r

r

I

\-

F

I

frI

{

W

x

w

z

LL

-— LC

r \ — LR

— v \

I 0\

r

 Vv

 V\

r \\

r >^L

r

r

~ i iimtJ i nmiJ i iniml i i iiiml

CL

— -cc

r \ ~~

CR

_ \ TA

r ^VV

A *iL

r 'w

r

r

-,,,„„! imnJ . miml ...M...I

— RL

— -RC

r \ — RR

r \\\

r Vv"v"-\

!" V\

[ ^

f

io-8 10°

gr

r

—

f

r

r

r

—

r

r

r

5-

s

r

=

r

r

-

r

r

r

r

r

r

r

r

r

r

r

r

r

r

r

•

*•

T

r

r

r

I

r

r

r

r

r

r

r

r

w x w Y

— LL

— -LC

r X — LR

^ u

"" \^.\

- \s\

r

 \S

T^

r

r

— CL

— -cc

r X ~ CR

•

 x ""H*

r V'A : \ i\ 1J

r \ ^

r iVt

ii

r

r

• I mini I llllllJ 1 lllllJ I tllJIll

RL

-— RC

r X —

 RR

r \^-X.

r V*^

r" i ift

r \

r

r

'jutiffj i ulna inin^ i inaa

10-* 10°

A; = o>A (nT1)

r

r

^_

~

f

r

sr

—

=-

1-

r

r

r

;

r

r

-

r

r

r

r

r

r

r

u_

Br

^

r

r

r

5-

•••

=

r

|

f

r

:

r

r

r

r

r

i^

i

r

r

f

w y w z

— LL

— -LC

r \ — LR \ \

r x

s

\\

r V'vv,,\

r

*

*ij n* ( ji

r T*

r

r

~ t niiiiii i iitiml i ii ii ml i niiiiJ

— CL

— -cc

r \ — CR

: \ 'S. \ ?~ ^^ ^^ in

• v\ \<

r y| '

=- ^ii

r

r

" i iiiinil i ii iiml i ii mill i iiiml

— RL

— -RC

T \ — RR

r S>^ \

r

 x->TiJS\

r \ t.

- ¥«| ^

- *»L (i

r \

r

r

ID'8 10°

Figure A.338. Two-point cross-spectra of gust velocities, Flight 6, Run 44

A. 408
TABLE A.79. List of All Parameters Measured and Their Range of Values,

Flight 5, Run 44.

START TIME • 56626.3912 STOP TINE • 56700.6162

CHANNEL

2~PHI DOT"

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

8 DEL PSl 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCL X CG '•"

14 ACCL Y CG

15 ALPHA CTR~ "

16 BETA CTR

17 TEKP I

18 FENP P

19 ACCL Z INS

20 ALPHA RT

21 BETA RT

22 ALPHA LT

23 BETA LT

24 PSI DOT

25 TEMP TOT """"

26 OC LT

27 OC CTR

?8 OC *T

29 PS

30 TEMP IRT

31 0 TO G

32 B TO D

33 LONG

34 LAT

35 TB* ANG

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TE1PC

41 Erf WNO SPO

42 *S h*0 SPO

43 UND SPeEO

44 nIsD DIfitC

45 4I8SPEED R

46 AIRSPEED C

47 AIRSPEED L

48 DELTA ALT

<r9 ISBTL DliP

50 UG RIGHT

51 UG CENTER'

52 UG LEFT

53 VG RIGHT

54 VG CENTER

55 VG LEFT

56 «G BIGHT

57 «/G CENTER

58 hG LEFT

UNITS

RAD/SEC ~

G UNITS

RAD/SEC

RAO

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUNITS

G UNITS

RAD

RAD

DEG F

DEC f

G UNITS

RAD

RAD

RAD

RAD

RAD/SEC

DEG C

PSID

PSID

PS 10

PS1A

DEG C

HETERS

DEGREES

DEGREES

DEGREES

OtCifttES

RADIANS

P/SEC

f/SEC

KH

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREES

H/SEC

M/SEC

H/SEC

METERS

HETERS

M/SEC

M/SEC

H/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.172

-.988

.087

.113

.063

103.400

2.875

461.037

2.432

2.736

2.591

.120

.186

.043

.045

83.693

93.422

1.617

.063

.073

.058

.030

.047

32.671

LOU

-.142

-.988

-.072

.011

-.104

95.299

-5.001

453.342

-5.447

"-.332

-.488

-.044

-.139

"" -.097

-.095

82.613

93.242

.165

-.104

-.053

-.100

-.087

-.054

29.C28

MEAN

-.00284

-.98774

.00573

.05185

-.01745

99.41393

-1.10287

• 457.08981

-1.52037

1.00689

" 1.01763

.02933

.00793

-.02670

-.02077

83.21405

93.41608

.99584

-.02323

.01255

-.02288

-.02639

.00184

31.01379

RMS

.04280

.98774

.01874

.05854

.04126

99.43132

2.14398

457.09335

2.38423

1.06444

1.06730

~ .04181

.04089

.03328

.03340

"83.21458

93.41609

1.01176

.03187

.02667

.03142

.03558

.02154

31.02677

1.066 .623 .79363 .79976

1.043 .614 .77785 .78371

1.075 .614 .60569 .81195

11.652 11.384 11.58289 11.58290

18.497 14.295 16.71458 16.72667

8770378. 5988764277. 722******»* *********** t»*

80.481

-104.697

39.894

101.960

1.B2C

97.149

" -10.052

2.102

23.087

-18.335

25.855

52.056

119.353

124. 065

122.215

124.768

145.409

31.824

10.347

e.4ie~~

7.868

8.000

8.741

9.450

7.409

6.156

6.889

80.429

-104.772

39.883

97.137

1.676

80.124

-20.039

1.S1S

23.719

-46.753

-9.113

19.373

72.722

94.557

94. (31

95.298

-42.042

-17.133

-8.111

-7.864

-9.206

-8.631

-8.900

-8.710

-8.858

-7.664

-8.376

80.45594

-104.73364

39.88779

100.47697

1.74U34

86.53513

-16.03663

1.96293

25.42017

-33.31267

- *. 45*99

35.27327

K5.t3259

107.65803

105.83196

106.87040

6.12173

9.77187

-.OOCOO

-.00000

-.00000

-.09730

-.08698

-.07784

.02468

.03482

.02997

80.45594

104.73365

39.88779

100.46582

1.74866

86.66680

"16.25031

1.96301

25.44130

33.87255

11.66758

35.82572

106.22153

1P7. 84998

106.01463

107.09936

13.31611

16.22331

3.35474

3.22618

3.33703

3.41329

3.42994

3.45060

2.61717

2.478b7

2.61362

POINTS

"2969

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"2969

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• 2969

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A. 409
ORIGINAL PAGE IS

OF POOR QUALITY

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u

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(\) 1-1 1-1 (M

(s/ui)

o o o o o

CXI —1 —1 t\J

A.411
TABLE A.80. Average Turbulence Parameters and Integral Length Scales,

Flight 6, Run 46.

I. Mean Airspeed (m/s)

R

104.9 103.8 105.5

II. Standard Deviation of

Gust Velocities (m/s)

a

WXL

3.04

a

W.xc

2.98

u

WXR

3.19

a

WYL

3.22

a

3.37

CT

WYR

3.28

III. Standard Deviation

of Gust Velocity

Differences (m/s)

CL

1.39

1.37

1.43

1.39

1.56 1.53

"V.

1.80

XCL HRC XRL

1.43

HCL XRC XRL

1.79

a

WZL

2.68

w

zc

2.50

WZR

2.75

IV. Integral Length Scale (m).

370

506

370

454

420

V

468

161 178 155

A.412
1.0 r

0.8

2 0.4

P-,

0.2

o.o

Center

Left

-5. 0 5. -5. 0 5. -5. 0

Normalized Gust Velocity (Standard Deviations)

1.0 l i 1 r| i i I T

1-RC

2-CL

3-RL "

A N

0 5. -5. 0 5. -5. 0 5.

Normalized Velocity Differences (Standard Deviations)

Figure A.341. Probability density function for gust velocities and gust

velocity differences, Flight 6, Run 46.

A.413
G

<u

(U

o

u

a

o

o

u

l_= 1 ,—.1. 1

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

•5000.

Figure A.342. Single-point auto-correlation coefficient of gust velocities.

Flight 6, Run 46.

A.414
a

£

o

0)

o

o

c

o

o

u

I

o

O

0,

I

1.

0.

0.

1.

0.

WXRC

WXCL

WXRL

WYRC

WYCL

WYRL

WZRC

WZCL

WZRL

1000. 2000. 3000.

Spatial Lag ,S=VT(m)

^000.

Figure A.343. Two-point auto-correlation coefficient of gust velocities,

Flight 6, Run 46.

A.415
I

10Z

10°

10-r

•von Karman

N= 512

SEG.= 7

von Karman

N= 512

SEG.= 7

•von Karman

N= 512

SEG.= 7

•von Karman I

N= 512

SEG.= 7

ml i ,,,„„!

•von Karman

N= 512

SEG.= 7

,,,! I

von Karman

N= 512

SEG.= 7

I mull t t Html I i i mill

—von Karman

N= 512

SEG.= 7

—von Karman

N= 512

SEG.= 7

—von Karman

N= 512

5EG.= 7

10~s 10° ID'2 10°

K = <y/V (m"1)

icr8

10°

Figure A.344. Normalized auto-spectra of gust velocities, Flight 6, Run 46,

A.416
108

6"

IT

•6- 10-a

102

108

- 10°

ioa

N= 512

N= 512

SEG.= 7

N= 512

SEG.= 7

N= 512

SEG.= 7

WXRC

N- 512

SEG.= 7

N= 512

SEG.= 7

W

ZRC

N= 512

SEC.= 7

N= 512

SEG.= 7

N= 512

SEG.= 7

ZRL

\

10°

K = u/V

10°

Figure A.345. Normalized two-point auto-spectra of gust velocities,

Flight 6, Run 46.

A.417
1C2

 r

io3

102

10°

ioa

IO2

10-*

10~s 10° io-2 10°

K = u/V (m"1)

10i-Z 10°

Figure A.346. Two-point cross-spectra of gust velocities, Flight 6, Run 46.

A.418
TABLE A.81.

ORIGINAL PAGE fS

OF POOR QUALITY

List of All Parameters Measured and Their Range of Values,

Flight 6, Run 46.

START TINt 96894.4615 STOP TINE • 56990.6669

CHANNEL

2 PHI DOT

3 ACCL N CG

4 THETA DOT

5 THETA

6 PHI

7 PSI 1

6 DEL PSI 1

9 PSI 2

10 DEL PSI 2

11 ACCL N LT

12 ACCL N RT

13 ACCL X CG"

14 ACCL Y CG

15 ALPHA CTR"

16 BETA CTP

17 TEMP I

18 TEhP P ~

19 ACCL Z INS"

20 ALPHA RT

21 BETA f>T

22 ALPHA LT

23 BET A LT

24 PSI OQT

25 'TEMP "TOT

26 OC LT

27 OC CTR

26 OC RT

29 PS

30 TEMP IRT

31 0 TO G

32 8 TO 0

33 LONG

34 LAT

35 TfcK ANG

36 HOG

37 VE

38 VN

39 ALTITUDE

40 TEHPC

41 Ey UNO SPD

42 NS UNO SPD

43 HsD SPEED

44 WIND DIDcC

*5 il'-S?E£D »

<•<> APSPEE D c

47 AIRSPEED L

48 DELTA ALT

49 INRTL DISP

50 UG RIGHT

51 UG CENTER "

52 UG LEFT

53 VG RIGHT

14 VG CENTER

55 VG LEFT

56 *G RIGHT

17 MG CENTER

58 »G LEFT

UNITS

RAO/SEC

G UNITS

RAD/SEC

RAD

RAD

DEGREES

DEGREES

DEGREES

DEGREES

G UNITS

G UNITS

GUN ITS ~"

G UNITS

RAD

R AD

DEG F

DEG F

G UNITS

R AD

RAD

RAD

RAD

RAD/SEC

PEG C

PSIO

PSID

PSID

PSIA

OEG C

METERS

DEGREES

DEGREES

DEGREES

DEGREES

RADIANS

M/SfcC

M/SEC

KM

DEGREES C

KNOTS

KNOTS

KNOTS

DEGREES

M/SEC

H/SEC

N/SEC

METERS

METERS

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

M/SEC

HIGH

.256

-.988

.107

.084

.115

120.307

6.842

462.555

6.490

2.929

3.030

.139

.198

.062

.148

83.333

93.602

1.965

.085

.167

.048

.141

.122

32.868

.999

LOW

-.154

-.988

-.093

-.C02

-.126

106.922

-6.353

469.191

-6.594

-.976

-.638

-.014

-.198

-.119

-.199

82.973

93.422

.170

-.122

-.154

-.124

-.181

-.159

29.914

.603

MEAN

-.00288

-.98774

.00562

.04709

-.OC682

113.39553

.04088

^475.65688

-.25712

1.01435

1.02626

.05503

.01267

-.02436

-.01365

63.07717

93.50663

1.00498

-.02124

.01832

-.02072

-.01948

.00396

31.40905

.76166

RMS

.05378

.98774

.02221

.05071

.03697

113.41419

2.05479

475.66109

2.05621

1.09597

1.10270

.06207

.05424

~ " .03284

".04592

83.07723

93.50867

1.02776

.03256

.04371

.03111

.04401

.03455

31.41576

.76539

.974 .595 .74575 .74919

1.006 .611 .77096 .77477

11.628 11.556 11.60257 11.60257

19.312 15.790 17.68589 17.70696

6765989.5818758762.061**********************

60.445

-104.753

39.909

117.223

2.122

62.307

-32.00C

1.960

27.909

-14.279

35.653

53.949

146.061

120.130

in. 042

119.600

28.366

8.693

9.814

8.041

8.154

11.332

10.363

. e.i6i

12.060

9.112

8.371

90.380

-104.841

39.877

112.655

1.885

79.324

"-39.415

1.931

24.367

-47.641

-4.639

18.294

82.470

94.373

93.167

93.613

-20.576

-19.730

-10.437

-10.228

-10.710

-6.678

-9.188

-8.590

-8.653

-7.778

~ -8.846

60.41270

-104.79690

39.89324

115.24902

1.99948

76.14249

-36.83561

1.94926

26.03665

-30.32309

14.64767

34.31207

116.C3064

105.40249

1C3. 76903

104.85960

-2.62153

-2.48577

-.00000

-.00000

-.00000

.02548

.02318

.01855

.01224

.00632

.00349

80.41270

104.79691

39.89325

115.25749

1.99982

78.17488

36.90653

1.94929

26.05199

30.97777

15.92313

34.83357

116.57383

105.58074

lbi.b7774

104.96945

7.61601

7.31611

3.29538

3.10570

3.18449

3.27241

3.36527

3.20853

2.76657

2.4D678

2.65923

POINTS

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A.419