.

LMSC-HEC TR F042668

SSME STRUCTURAL DYNAMIC

MODEL DEVELOPMENT - PHASE II

FINAL REPORT

i

1 November 1985

C

°

B A L

N86-20496

CSCI

Contract NAS8-34y/o

Prepared for

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION

MARSHALL SPACE FLIGHT CENTER, AL 35812

by M. J. Foley and V. L. Wilson

Missiles & Space Company, Inc

Huntsville Engineering Center

4800 Bradford Drive, Huntsville, AL 35807
LMSC-HEC TR F042668

FOREWORD

This technical report summarizes the efforts to produce a set of test

correlated dynamic math models of the various components that comprise the

Space Shuttle Main Engine (SSME) powerhead. The work was performed by

personnel of the Dynamics & Loads Group, Mechanical Systems Section of the

Lockheed-Huntsville Engineering Center under Contract NASb-34973 for the

MSFC Systems Dynamics Laboratory, Systems Analysis Branch. All technical

activities were monitored by Mr. Larry A. Kiefling and Mr. M. Shane Swint,

ED22.

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CONTENTS

.Section

1

2

3

4

5

6

FOREWORD

INTRODUCTION

HPOTP ROTOR ASSEMBLY

HPOTP PUMP HOUSING

COMPONENT MODE ANALYSIS

CONCLUSIONS AND RECOMMENDATIONS

REFERENCES

ii

1

3

9

33

44

46

Appendixes

A

B

C

LOX Pump Rotor Assembly Data Listing

LOX Pump Housing Data Listing

Craig-Bampton Procedure Listing

LIST OF TABLES

Table

1

2

3

4

HPOTP Frequency Comparison 11

LOX Pump Computed Frequencies with the Flange Constrained 12

Natural Frequencies for Truss Sample Problem 38

Natural Frequencies for Plate Sample Problem 38

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LIST OF FIGURES

Figure Page

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Rotor Free-Free Bending Modes

HPOTP Test Article - Coordinate System

First Elastic Mode

Second Elastic Mode

Third Elastic Mode

Fourth Elastic Mode

Fifth Elastic Mode

Sixth Elastic Mode

Seventh Elastic Mode

Eigth Elastic Mode

Ninth Elastic Mode

Tenth Elastic Mode

Constrained Nodes on the Flange at the Bolt Circle

Joints 643 Through 649

Vibrational Mode, Freq. (Hz)

Vibrational Mode, Freq. (Hz)

Vibrational Mode, Freq. (Hz)

Vibrational Mode, Freq. (Hz)

Vibrational Mode, Freq. (Hz)

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LOCKHEED-HUNTSVILLE ENGINEERING CENTER

4

4

5

5

6

6

7

7

8

8

13

14

15 ,

16

17

18

19

20

21

22

23

24

25

26

27

28

29

•
LMSC-HEC TR F042668

LIST OF FIGURES (Concluded)

Figure Page

28 Vibrational Mode, Freq. (Hz) 30

29 Vibrational Mode, Freq. (Hz) 31

30 Vibrational Mode, Freq. (Hz) 32

31 Truss Undeformed Structure 39

32 Truss Substructure (ME1) 40

33 Truss Residual Structure . 41

34 Annular Plate Macro-Element 42

35 Annular Plate System Joints 43

0653R

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1. INTRODUCTION

Considerable interest has been focused by the engineering staff at

^~

NASA-MSFC Systems Dynamics Laboratory on the performance of the SSME powerhead. In particular, a new design (two-duct) Hot Gas Manifold, single crystal blades for the rotating equipment, and detailed knowledge of the dynamic

behavior of the turbopumps have all received attention for the development

engine program. The objective of the work described in this report was to

produce a set of test correlated mathematical models of the SSME High Pressure Oxygen Turbopump (HPOTP) housing and rotor assembly. Because this

effort was in support of a dynamic test program, there were several delays

while awaiting tooling and other hardware from the pump manufacturer. This

time was used to investigate new analysis methods within the EISI/EAL (Ref.

1) and SPAR (Ref. 2) systems and develop runstreams for future use.

The LOX pump models have undergone extensive modification since the

first phase of this effort was completed in December 1983 (Ref. 3). The

rotor assembly from the original model was abandoned and a new, more

detailed model constructed. A description of the new rotor math model is

presented in Section 2 of this report. Also, the pump housing model has

been continually modified as additional test data have become available.

This model is documented in Section 3 along with measured test results.

During the contract period many of the more advanced features of the

EAL/SPAR finite element analysis system were exercised. These included the

cyclic symmetry option, the macro-element procedures, and the fluid analysis

capability. In addition, a new tool was developed that allows an automated

analysis of a disjoint structure in terms of its component modes. A complete description of the implementation of the Craig-Bampton method (Ref. 4)

is given in Section 4 along with two worked examples.

1 -

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LMSC-HEC TR F042668

Finally, Conclusions and Recommendations are presented in Section 5

along with a brief description of some ideas for future analysis efforts.

The tasks suggested are consistent with previous work in that their ultimate

goal is to provide a more thorough understanding of the SSME powerhead via

detailed finite element analysis and test correlation.

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2. HPOTP ROTOR ASSEMBLY

The first component to undergo vibration testing during this analysis

effort was the HPOTP rotor assembly. After extracting the rotor assembly

from the existing LOX pump model developed during the first phase of this

contract, it became apparent that sufficient detail was not present with the

simple beam representation. A new rotor model was then constructed with the

necessary fidelity to provide correlation with the shaft twist measurements. In addition, an improved load path into the turbine hub was obtained

along with a needed reduction of the impeller inertia. Symmetric and antisymmetric constraints were applied to a 180-deg model to compute the free

vibration frequencies and mode shapes. The results of this model agreed

with the measured test data to within 20 Hz for the first and second elastic

modes. The first five bending modes are shown in Figs. 1 through 5 with an

expanded view of the turbine hub plotted in Figs. 6 through 10. These frequencies cover the zero to 1500 Hz range.

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UIBRATIONAL MODE, FREQ (HZ) .449953X10 ID-3/2/3

Fig. 1 HPOTP Rotor Free-Free Bending Modes

I'lBRftTIONftt MODE. FREQ (HZ) .831339X18

+03

ID-3/3/4

Fig. 2 HPOTP Rotor Free-Free Bending Modes

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LMSC-HEC TR F042668

VIBRrtTIONAl NODE, FREO (HZ) .938738X10

+ 03

ID-3/3/9

Fig. 3 HPOTP Rotor Free-Free Bending Modes

YIBRATIONAL MODE, FREQ (HZ) . 119896X10'1'

04

ID-3/3/6

Fig. 4 HPOTP Rotor Free-Free Bending Modes

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I'IBRaTIONAL MODE, FREO (HZ) .163391X10 ID-3/3/7

Fig. 5 HPOTP Rotor Free-Free Bending Modes

OIBRflTIONAL MODE, FREQ (HZ) . 4499SEX10'1'

03

 .' ID-3/2./3

Fig. 6 HPOTP Rotor Free-Free Bending Modes

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UIBRATIONAL NODE. FREO (HZ) .831339X10

+93 ID-3/3/4

Fig. 7 HPOTP Rotor Free-Free Bending Modes

MIBRATIONAL MODE, FREQ (HZ) .938738X10

+03

ID-3/8/S

Fig. 8 HPOTP Rotor Free-Free Bending Modes

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.UIBRATIONAL MODE, FREQ (HZ) .119896X10

+04

Fig. 9 HPOTP Rotor Free-Free Bending Modes

'I BRAT I ON AL MODE, FREQ (HZ) . !P3291Xie ID-3/2/7

Fig. 10 HPOTP Rotor Free-Free Bending Modes

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LMSC-HEC TR F042668

3. HPOTP PUMP HOUSING

The High Pressure Oxygen Turbopump (HPOTP) is an extremely complex and

important component of the SSME powerhead. Dynamic analysis of this pump

has required a considerable amount of modifications to the model developed

during the first phase of this contract. The existing LOX pump SPAR model

appears to be providing a reasonable prediction of the vibration behavior

for both free and fixed boundary conditions. This section describes the

development of the existing finite element model and the tuning of the model

to correlate with measured test data.

Since the test article was the pump housing alone, the first modification to the HPOTP model was the removal of the rotor assembly, oxidizer preburner, and turbine housing. The turbine housing flange was modified to

match more closely the local stiffness and provide constraint points at the

bolt locations. Unfortunately, the high connnectivity of this model was

causing excessively long computer run times which soom became a problem.

This long run time became significant while flight data reduction was being

done on the NASA-MSFC Sperry computer. An effort was then made to run the

model on Lockheed's in-house VAX 11/780 computer using EISI/EAL. Although

this conversion was successful, no real gains were realized since the CPU

time for the VAX was much higher and disk space requirements for this model

quickly began to tax the local system resources. The decision was then made

to abandon any further efforts on the in-house computer and resume the

analysis on the GFE computer.

Measured test results from the "free-free" vibration tests correlated

poorly with the initial pretest analysis. Reevaluation of the shell section

properties used in some areas of the model revealed unrealistic stiffness

and inertia inputs. The model was again modified in several local areas

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until the weight and balance calculations agreed closely with the measured

data. Also, the total number of system joints was reduced from over 800 to

665 during the process and the joint elimination sequence rewritten by

hand. Overnight computer turnaround was then possible for a complete eigenvalue analysis of the math model. The results of the "free-free" test along

with the analytical calculations are shown in Table 1. Figure 11 shows the

global axes of the model superimposed on the undeformed geometry. The mode

shapes for the first 10 elastic modes are shown in Figs. 12 through 21.

Current effort in the NASA Test Lab includes vibration testing of the

LOX pump housing with the flange bolted to a rigid fixture. Pretest analysis was provided for this configuration by constraining the joints that

represent the flange bolt locations as shown in Fig. 22. Computed frequencies for the "fixed" case are shown in Table 2; the corresponding vibration

mode shapes are shown in Figs. 23 through 30.

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IflSC-HEC TR F042668

Table 1 HPOTP FREQUENCY COMPARISON

Mode

Number

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

Computed

Freq. (Hz)

510

699

805

1106

1133

1172

1277

1367

1487

1619

1654

1795

1843

1881

1976

2009

2140

Measured

Freq. (Hz)

490

689

764

964

986

1086

1216

1361

1426

1611

No Data

No Data

No Data

No Data

No Data

No Data

No Data

Percent

Difference

+4

+1

+5

+14

+14

+8

+5

+0.4

+4.2

+0.5

Description

Discharge Volute Bending

in the X-Z Plane

Discharge Volute to LPOTP

Bending in the Y-Z Plane

Discharge Volute to LPOTP

Bending in the X-Y Plane

First Case Bending Mode

(Y-Z Plane)

First Case Bending Mode

(X-Z Plane)

First Case Axial Mode

in the Global X-Direction

Second Case Bending Mode

(Y-Z Plane)

Torsion about the Global

X-Axis

Second Case Bending Mode

(X-Z Plane)

Discharge Volute Breathing

Mode

Match

(Y/N)

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

SPAR Model Computed Weight = 255 Ib

HPOTP Test Article Measured Weight = 251 Ib

Percent Difference = +1.6

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Table 2 LOX PUMP COMPUTED FREQUENCIES WITH THE

FLANGE CONSTRAINED

MODE EIGENVALUE

1 .46396451*07

2 .67877898*07

3 .11258535*08

4 . 13957347*08

5 . 18679277+O8

6 .36078368*08

7 .48622751*08

8 .60418840*08

9 .72960656*08

10 .90613981*08

1 1 . 1046O5O7+O9

12 . 11431 131*O9

13 .13639630*09

14 . 14205290*09

15 . 155162O6*O9

16 . 16053853*09

17 .18O82719+O9

18 . 18840222*09

19 .21348396*09

2O .21868624*09

FREO (HZ)

342.817146

414.652554

534.024399

594.595459

687.860207

955.968529

1109.787720

1237. 104385

1359.454010

1515.017868

1627.783081

1701 .62851O

1858.751968

1896.903336

1982.498718

2016.553711

2140.188477

2184.555878

2325.427338

2353.590393

18 " NO. OF EIGENVALUES BELOW LAST SHIFT POINT.

12

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Fig. 11 HPOTP Test Article - Coordinate System

13

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t.'IFRATIOHA l NODE , FRE O (HZ ) .510390X10

+03

ID-2/1/1

Fig. 12 First Elastic Mode

14

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UlBRATIONAt MODE, FREQ (HZ) .638794X10*03

Fig. 13 Second Elastic Mode

ID-2/1/2

15

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LMSC-HEC TR F042668

UIFRrtTIONAL NODE, FREQ (HZ) .804819X10

+03

1D-2/1/3

Fig. 14 Third Elastic Mode

16

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UIERATIOHAL NODE, FREQ (HZ) .110597X10

+04

iD-e/i/4

Fig. 15 Fourth Elastic Mode

17

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VIBRATIONAL F10DE, FREQ (HZ) . .113259X10

+04

ID-2/1/5

Fig. 16 Fifth Elastic Mode

18

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... LMSC-HEC TR F042668

UIBRttTIONA l NODE, FREQ (HZ ) .117E81X10404

ID'S/1/6

Fig. 17 Sixth Elastic Mode

19

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LMSC-HEC TR F'042668

UIERATIOKAL MODE, FREQ (HZ) . 1E7668X10

+04

iD-a/i/7

Fig. 18 Seventh Elastic Mode

20

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LMSC-HEC TR F042668

UIBRATIONAt HODE, FREQ (HZ) .136683X10

+04

1D-2/1/8

Fig. 19 Eighth Elastic Mode

21

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LMSC-HEC TR F042668

UIBRATIONAL MODE/ FREQ (HZ) \1487E7X10*04

ID-3/1/9

Fig. 20 Ninth Elastic Mode

22

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LMSC-HEC TR F042668

IE-RATIONA L NODE, FREQ (HZ ) .161883X10

+04

ID-2/1/10

Fig. 21 Tenth Elastic Mode

23

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LMSC-HEC TR F042668

OF

636

637

63S

659 \634

HPOTP PLinP HOUSING

CLAfiPLl' BGUNDRV CONDITIONS ON THE. fLANGE"

Fig. 22 Constrained Nodes on the Flange at the Bolt Circle

Joints 634 Through 649

24

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LMSC-HEC TR F042668

"IFRATIONPL HODE. FREQ (HZ) .343817X10

+ 03

Fig. 23 Vibrational Mode, Freq. (Hz)

25

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LMSC-HEC TR F042668

NODE , FREO (HZ ) .414653X10

+ 03

Fig. 24 Vibrational Mode, Freq. (Hz)

26

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LMSC-HEC TR F042668

ORIGINAL PAGE IS

OF POOR QUALITY

'JI BRAT TONAL riODF., FREQ (HZ ) .534624X10

+ 03

Fig. 25 Vibrational Mode, Freq. (Hz)

27

T F PMnTMPVPTMr' r'P^^^I^o
LMSC-HEC TR F042668

i.'IPRPTIONAL NODE, FREO (HZ) .594595X10*03

Fig. 26 Vibrational Mode, Freq. (Hz)

28

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LMSC-HEC TR F042668

UIBRATIONA L MODE, FREQ (HZ ) .68786eXie*e3

Fig. 27 Vibrational Mode, Freq. (Hz)

29

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LMSC-HEC TR F042668

VIBRATIONAL MODE, FREQ (HZ) .955968X10+03

Fig. 28 Vibrationai Mode, Freq. (Hz)

30

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UIBRATIONA L MODE, FREQ (HZ) .110979X10

Fig. 29 Vibrational Mode, Freq. (Hz)

31

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UIBRATIONA L MODE. FREO (HZ) .1237iexie*04

Fig. 30 Vibrational Mode, Freq. (Hz)

32

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LMSC-HEC TR F042668

4. COMPONENT MODE ANALYSIS

This section describes the implementation of the Craig-Bampton method

for the automated analysis of a disjoint structure in terms of its component

modes. Derivation of the governing equations are given in Ref. 4, while a

complete listing of the EAL runstreams are provided in Appendix C. An

examination of the runstreams will show that they were modeled after the

existing macro-element procedures with extensive use made of the older substructure routines. Two example problems are worked which demonstrate the

procedures.

The seven procedures for exercising the Craig-Hampton analysis method

are summarized below:

I

(CB JCL 0) - Sets up CB and utility procedure indirect libraries.

(CB SYS 0) - Inputs system geometry to TAB processor and executes

calls to remaining CB procedures for an automated

runstream analysis.

(CB SUBS 1) - Builds substructure finite element models and constructs

substructure mass and stiffness matrices using boundary

attachment and normal modes.

(CB ASSE 0) - Assembles substructure mass and stiffness into system

mass and stiffness matrices using the SYN processor.

(CB STRP 0) - Executes the substructure system eigensolver, STRP

processor.

(CB SSBT 0) - Executes the substructure back transformation, SSBT

processor.

(CB VPRT 0) - Prints system eigenvectors for selected substructures in

LIB 10.

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LMSC-HEC TR F042668

These procedures were written using the EAL macro-element (ME)

procedures as templates and should be compatible with existing ME data sets

identified by *(29 cbi DATA 1) where cbi is the macro-element or

substructure identifier (SSI1)). The additional data cards in a CB data set

which control the (CB SUBS 1) procedure are all optional and only the NMCB

register itinitialization is actually required to generate a set or normal

modes for a substructure. The NMCB register, which specifies the number of

eigenvectors extracted by either the EIG or E4 processor, must immediately

follow the *(29 cbi DATA 1) card with other register initializations. The

default value, NMCB=U, results in substructure data sets equivalent to those

generated by the macro-element procedure, (ME MACR 1). The selection of the

eigensolver is dependent upon the SPDP register initialization of single

(SPDP=1) or double (SPDP=2) precision. For single precision, EIG is used

for the eigensolver, while E4 is used for double precision. The default

fixed end functions, FEF "SS1D" nset neon, are the AUS processor NORM of the

NMCB eigenvectors extracted by EIG or E4. However, the user can select

subsets of these eigenvectors via the *(AUS OPTIONS) in data set *(29 cbi

DATA 1), e.g.,

*(AUS OPTIONS)

DEFINE X1=V1BR MODE "NEWS" "CONR" 1,1

DEFINE X2=V1BR MODE "NEWS" "CONR" 4,4

X=UNION(X1,X2)

FEF "SSID" "NEWS" "CONR"=NORM(X)

selects the first and fourth modes for fixed end functions. Both FEF "SSID"

nset neon and the substructure boundary, mass and stiffness data sets

constructed by the AUS processor are stored on LIB 9. This library avoids

conflict with libraries assigned by the SYN and SSBT processors without the

need for DCU library retrievals. Similar to the ME procedure, (ME MACR 1),

the substructure's SPAR finite element data base on LIB 1 is packed into a

single data set on LIB 3.

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LMSC-HEC TR F042668

The (CB SYS 0) procedure provides four options to control the remaining

CB procedures In an automated runstream mode. These options are selected by

the following register initialization within (CB SYS 0) and are called in

the following sequence:

ASSM = 1, assembles system mass and stiffness matrices or • '

= 0, skip remainder of procedure.

STRP °.l, perform system eigenvalue analysis or

= 0, skip remainder of procedure.

SSBT = 1, perform substructure back substitution or

=0, skip remainder of procedure.

VPRT =1, print substructure eigenvectors or

=0, skip remainder of procedure.

The initializations must immediately follow the *(29 SYS DATA 0) card.

System geometry including joint locations, alternate reference frames and

constraints is input via *(TAB) similar to the ME procedure. However, no

residual structure is allowed within this Craig-Bampton implementation and

any *(ELD) data set will not be processed. Thus, the current method

requires that the structural system is described by combining only

substructures defined in the (CB SUBS 1) procedure. This limitation is

invoked since the SYN processor is used to form the system mass and

stiffness matrices.

The assembly of the structural system is performed by the (CB ASSE 0)

procedure. Each substructure identified by a *(10 SJC cbi nref) data set is

assembled within the SYN processor using the substructure data stored by (CB

SUBS 1) on LIB 9. Relative constraint vectors may be optionally input to

the SYN processor via a *(29 RELC OPTIONS) data set in the form of an AUS

processor TABLE. In addition, resets for the SYN processor may be input via

*(29 SYN RESETS) to control the mass, stiffness and relative constraint

tolerances. However, there is no provision to input mass and stiffness

submatrices as residual structure within this Implementation.

35

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• LMSC-HEC TR F042668

The (CB STRP 0) procedure is a straightforward implementation of SPAR's

STRP processor, a substructure system eigensolver. Lower and upper

frequency bounds are controlled respectively, by the FRQ1 and FRQ2 resets

input via *(29 STRP RESETS). The procedure uses the U3 processor RP2 to

document system modes, eigenvalues, and frequencies.

The (CB SSBT 0) procedure is a straightforward implementation of SPAR's

SSBT processor, a substructure back transformation. Lower and upper mode

number bounds are controlled respectively by the NM1 and NM2 register

initialization input via *(29 SSBT OPTIONS). The procedure stores the

system eigenvalues, frequencies, and substructure eigenvectors (USB cbi 0

nref) on LIB 10.

System eigenvectors for selected substructures are printed using the

(CB VPRT 0) procedure. To avoid excessive printout for a large number of

substructrues, only substructures which have a *(10 VPRT cbi nref) data set

will have eigenvector printouts. For example,

*(10 VPRT ME1 1)

#

*(10 VPRT ME2 2)

//

will print the system eigenvectors for substructure ME1 at reference frame 1

and ME2 at reference frame 2. The comment card (# is EAL's comment symbol

on the VAX) is required to avoid a null entry in the data set.

Two sample problems were selected for analysis using the Craig-Bampton

procedures described above, the first problem is a simple truss structure

with 10 identical bays as shown in Fig. 31. A typical substructure for this

truss is shown in Fig. 32 with the system joints for the residual structure

shown in Fig. 33. Results for this problem-are presented in Table 3 along

with similar analysis using macro-elements and a continuous structure. The

natural frequencies predicted using the Craig-Bampton method use a single

mode (first torsion) for a fixed end function, and the results show improvement over the existing macro-element method for this problem.

36

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The second example problem is a simply supported annular plate vibrating with a normal displacement and two rotations at each node. This problem

was chosen so that the EAL cyclic symmetry option could also be verified for

a 60-deg segment. The one-sixth segment model is shown in Fig. 34 with the

joint numbers and element numbers for the E42 quads. Figure 35 shows the

system joint numbers for the corresponding macro-element model. The CraigBampton results are shown in Table 4 along with the results from the macroelement and cyclic symmetry models. For this problem substantial improvement in accuracy was attained over the macro-element methods. The frequencies are within 1.06 percent for the 15th and 16th mode pair when six modes

were carried in the summation, and within 0.03 percent when 12 modes were

used.

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Table 3 NATURAL FREQUENCIES FOR TRUSS SAMPLE PROBLEM

Mode

Number

1

2

3

4

5

6

7

8

9

10

11

12

13

SPAR

Frequency (Hz)

3.38

3.38

5.99

8.57

8.57

11.84

15.23

15.23

17.39

22.52

22.54

22.54

23.11

C13 (1 mode)

Frequency (Hz)

3.39

3.39

5.99

8.68

8.68

11.84

15.78

15.78

17.40

22.52

23.36

23.36

23.63

ME

Frequency (Hz)

3.39

3.39

6.06

8.8b

8.86

12.38

15.78

15.78

18.89

23.36

23.63

23.63

24.61

Table 4 NATURAL FREQUENCIES FOR PLATE SAMPLE PROBLEM

Mode

Number

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

CS (60 deg)

Frequency (Hz)

563.0

725.3

725.3

1028.8

1028.8

1561.7

1561.7

2017.5

2224.6

2224.6

2458.4

2458.4

2931.7

2931.7

2986.3

2986.3

CB (12 modes)

Frequency (Hz)

563.0

725.3

725.3

1028.8

1028.8

1561.7

1562.0

2017.8

2225.0

2225.0

2459.0

2459.0

2933.3

2933.3

2986.9

2986.9

CB (6 modes)

Frequency (Hz)

563.0

725.3

725.3

1029.0

1029.0

1561.8

1563.1

2018.7

2226.9

2226.9

2460.6

2460.6

2939.8

2936.8

2991.0

2991.0

ME

Frequency (Hz)

571.0

744.7

744.7

1081.6

1081.6

1597.5

1984.6

2186.9

2700.8

2700.8

2747.6

2747.6

3561.7

3561.7

4533.1

4533.1

38

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

Fig. 31 Truss Undeformed Structure

39

LOCKHEEI>-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR P042668

Fig. 32 Truss Substructure (ME1)

40

LOCKHEEIHHUNTSVILLE ENGINEERING CENTER
16

17

13

14

ie

LMSC-HEC TR F042668

8

4

5

1

Fig. 33 Truss Residual Structure

41

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

33

32

31

Fig. 34 Annular Plate Macro-Element

42

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

27

Fig. 35 Annular Plate System Joints

43

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

5. CONCLUSIONS AND RECOMMENDATIONS

This effort has provided engineering analysis data in support of the

SSME powerhead component testing currently being performed at NASA-MSFC. In

addition, the cyclic symmetry, fluid analysis capability, and the macroelement methods were all exercised and a new component mode analysis method

was implemented while working under this contract. During the year, several

ideas were discussed that might be of interest to engineers involved with

finite element methods in general and in particular those responsible for

the component test effort.

The test correlation via finite element analysis described in this

report is ideally suited for the Structural Modification (SM) processor

which currently exists within the SPAR system. Considerable engineering

manhours were spent attempting to manually adjust the structural parameters

to correlate with measured test data. This hit-or-miss approach was not

only time consuming, but required that the work be done by the person who

actually constructed the model since he was the only one with the detailed

knowledge of its assembly. By using the SM processor, future model correlation efforts can be done faster and, perhaps, be done by someone other

than the one who actually constructed the model, thus allowing more flexibility in task assignments for the engineering group. Lockheed suggests

that the test correlation for the High Pressure Fuel Turbopump (HPFTP) be

used as a benchmark to determine the effectiveness of the SM processor to

fine tune the model to obtain agreement with dynamic test results.

During the contract period, a detailed finite element structural model

was built of the recently proposed two-duct hot gas manifold (HGM). A

COSMIC/NASTRAN and a SPAR version of this same model currently exist on

44

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

magnetic tape; both are completely checked out and debugged and have been

run for a static load case. CFD calculations published recently in the

literature suggest that this new two-duct design exhibits an improved, more

uniform flow into the main injector by eliminating the ineffective center

transfer tube. Thus, Lockheed feels that some time should be spent comparing the vibration characteristics of these two designs for the engine

upgrade effort.

Another recommendation for future work which was discussed during an

informal meeting last summer at NASA concerns the development of a common

finite element data base. Lockheed has successfully used the Lockheed

Dynamic Analysis Language Processor (DALPRO) system to transfer structural

and aerodynamic matrices and tables between NASTRAN (via OUTPUT2), SPAR, and

FORMA to complete an aeroelastic stability and response analysis funded by a

Lockheed Internal Research program. Lockheed feels that extensive use could

be made of a set of application tools allowing the analyst to transfer

results to and from the large scale, general purpose finite element codes

and the many smaller, user written routines designed to perform some

specific function.

Finally, the test correlated component math models must eventually be

reassembled to obtain the dynamic response behavior of the complete SSME

powerhead. Haying constructed the models ourselves and having worked with

NASA personnel on the model test correlations, Lockheed is confident that

our personnel can perform this analysis in the most efficient, cost

effective manner.

45

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

REFERENCES

1. Whetstone, W.D., "EISI-EAL Engineering Analysis Language Reference

Manual," Engineering Information Systems, Inc., San Jose, Calif., July

1983.

2. Whetstone, W.U., and C. E. Jones, "SPAR Reference Manual - Level 13,"

Engineering Information Systems, Inc., San Jose, Calif., June 1978.

3. Foley, M.J., D.M. Tilley, and C.T. Welch, "SSME Structural Dynamic

Model Development - Final Report," LMSC-HREC TR D867307, Lockheed

Missiles and Space Company, Huntsville, Ala., December 1983.

4. Craig, R.R., and M.C.C. Bamptdn, " Coupling of Substructures for

Dynamic Analysis," AIAA Journal, Vol. 6, No. 7, July 1968, pp.

1313-1319.

46

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

Appendix A

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LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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Appendix B

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DATA LISTING

LOCKHEED-HUNTSVI'LLE ENGINEERING CENTER
LMSC-HEC TR F042668

MFOLEYBIN202»HPOTP( 1 ) .NEW

1" S>RUN,/R LOXPMP.6EP553450032.MFQLEYBIN202, 240,900/9000

2 @FREE TPF$.

3 0ASG.A KIFLINBIN196*EAL211/

4 @USE TPF$. ,KIFLINBIN196*EAL21 1 .

5 @DELETE,C HPOTPDB.

6 @ASG.UP HPOTPDB. .F/10/POS/3OO

7 ®>FREE HPOTPDB.

8 ©EXTEND HPOTPDB. 8

9 @ASG.A HPOTPDB.

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1 1 ©ASG.A HPOTP.

12 @PRT,S HPOTP. NEW

13 ®XQT TAB

14 START 665 $ HPOTP

15 TITLE' HPOTP TEST ARTICLE

16 ALTREF

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B-l

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

6O

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81

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95

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B-2

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

120

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96

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101

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128

129

130

131

132

133

134

135

136

137

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139

140

141

142

143

144

145

146

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NREF =

148

149

150

151

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153

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B-3

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
"LMSC-HEC TR F042668

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200

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B-4

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

240

241

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271

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222

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224

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238

239

240

NREF =

241

242

NREF =

243

244

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246

247

248

249

250

251

252

253

254

255

256

257

258

259

260

261

262

263

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265

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267

268

269

270

271

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LMSC-HEC TR F042668

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B-9

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

540

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548

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.337000+01$

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B-10

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

6OO

601

602

6O3

604

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606

607

608

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610

611

612

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614

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645

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647

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651

652

653

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655

656

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571

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614

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FORMAT= 2

NREF= 6

618 3.5

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6

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. 16 100O+O1$

8 16 1

65 16 1

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5$

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B-ll

LOCKHEEIHHUNTSVILLE ENGINEERING.CENTER
LMSC-HEC TR F042668

660

661

662

663

664

665

666

667

668

669

670

671

672

673

674

675

676

677

678

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703

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189$

194$

199$

204$

2O9$

214$

219$

224$

229$

234$

248$

B-12

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

720

721

722 .

723

724

725

726

727

728

729

73O

731

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733

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736

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757

758

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76O

761

762

763

764

765

766

767

768

769

770

771

772

773

774

775

776

777

778

779

NREF= -5

255:

260:

NREF= -4

262:

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264:

269:

NREF = -4

273:

NREF= -5

275:

280:

NREF = -4

284:

NREF= -5

286:

291:

NREF= -4

295:

NREF= -5

297:

302 :

NREF = -4

306:

NREF= -5

308:

313:

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317:

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319:

324:

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328:

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330:

335:

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339:

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341 :

346:

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350:

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352:

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36 1 :

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363:

368:

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372:

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374:

379:

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383:

256:

261$

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265:

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276:

281 :

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287:

292:

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298:

303:

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271:

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278:

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289:

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322:

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333:

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355:

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366:

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377:

382$

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279$

290$

301$

312$

323$

334$

345$

356$

367$

378$

B-13

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

780

781

782

783

784

785

786

787

788

789

790

791

792

793

794

795

796

797

798

799

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801

802

803

8O4

805

806

807

808

809

810

811

812

813

814

815

816

817

818

819

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821

822

823

824

825

826

827

828

829

83O

831

832

833

834

835

836

837

838

839

NREF= -5

385:

390:

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392:

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394:

399:

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403:

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405:

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409$

NREF = -5

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417:

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428:

433:

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437:

442:

NREF= -4

446:

NREF= -6

448:

453:

NREF = -4

455:

NREF= -6

457:

462:

NREF= -4

466:

NREF= -6

468:

473:

NREF = -4

477:

NREF= -6

479:

484:

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488:

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495:

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499:

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5O1 :

506:

386:

391$

393$

395:

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434

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504:

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432$

441$

452$

461$

472$

483$

494$

5O5$

B-14

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

84O

841

842

843

8,44

845

846

847

848

849

850

851

852

853

854

855

856

857

858

859

860

861

862

863

864

865

866

867

868

869

870

871

872

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875

876

877

878

879

880

881

882

883

884

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888

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512:

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534:

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543:

NREF= -6

545:

55O:

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554:

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556:

561:

NREF = -4

565:

NREF= -6

567:

572:

NREF= -4

576:

NREF = -6

578:

583:

NREF= -4

585:

NREF = -6

587:

592:

NREF= -4

596:

NREF= -6

598:

NREF= -4

602$

NREF= -6

603:

608:

613:

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617$

NREF= -6

618.665

MATC

1 3O.+6

2 30. +6

3 29.6+6

4 29.6+6

CON 1

511$

513:

518:

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.3 .325961

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B-15

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

90O

901

902

903

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905

906

907

908

909

910

911

912

913

914

915

916

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MREF

FORMAT=2 NREF= 3:

FORMAT=2 NREF= 2:

FORMAT=2 .NREF= 2:

. FORMAT=2 NREF= 3:

FORMAT=2 NREF= 5:

FORMAT=2 NREF= 5:

FORMAT=2 NREF= 5:

FORMAT= 1

NREF= 6

8 1 1 +1 1.0

BA

GIVN 1 .85100-01

.32200+OO .86000-01

GIVN 2 .92860-01

.10710+01 .19126+00

GIVN 3 .28089+00

.18495+01 .57O19+OO

GIVN 4 .8510O-O1

.32200+00 .86OOO-01

GIVN 5 .23720-01

.58100+00 .57070-01

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B-16

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-17

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR FOA2668

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B-18

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-19

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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LOCKHEED-HUNTSVILLE ENGINEERING CENTER
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LMSC-HEC TR F042668

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B-23

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-24

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-26

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

1560

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B-27

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

162O

1621

1622

1623

1624

1625

1626

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1628

1629

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B-28

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

1680

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1684

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B-29

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-30

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

1800

1801

1802

1803

18O4

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1806

1807

1808

1809

1810

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1812

1813

1814

1815

1816

1817

1818

1819

1820

1821

1822

1823

1824

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1826

1827

1828

1829

1830

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1834

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1843

1844

1845

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1850

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1857

1858

1859

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B-31

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

1860

1861

1862

1863

1864

1865

1866

1867

1860

1869

1870

1871

1872

1873

1874

1875

1876

1877

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B-32

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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1921

1922

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1924

1925

1926

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1932

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1960

1961

1962

1963

1964

1965

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1967

1968

1969

1970

1971

1972

1973

1974

1975

1976

1977

1978

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B-33

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-34

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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B-35

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

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0:

O:

0:

O:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

517

518

519

520

521

533

534

535

536

537

538

539

54O

541

.542

523

524

525

526

527

528

529

530

531

532

544

535

535

536

548

549

550

551

552

553

534

535

536

537

538

539

540

541

542

543

555

546

546

547

559

560

561

562

563

564

545

546

547

548

549

516

517

518

519

520

534

535

536

537

538

539

540

541

542

543

522

523

524

525

526

527

528

529

530

531

545

534

546

547

549

550

551

552

553

554

533

545

546

547

537

538

539

540

541

542

556

545

557

558

560

561

562

563

564

565

544

556

557

558

548

528

529

53O

531

532

522

523

524

525

526

527

528

529

530

531

534

535

536

537

538

539

540

541

542

543

533

545

536

537

537

538

539

540

541

542

545

546

547

548

549

55O

551

552

553

554

544

556

547

548

548

549

550

551

552

553

556

557

558

559

560

B-36

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

216O

2161

2162

2163

2164

2165

2166

2167

2168

2169

217O

2171

2172

2173

2174

2175

2176

2177

2178

2179

218O

2181

2182

2183

2184

2185

2186

2187

2188

2189

219O

2191

2192

2193

2194

2195

2196

2197

2198

2199

220O

22O1

2202

2203

2204

22O5

22O6

2207

2208

2209.

2210

2211

2212

2213

2214

2215

2216

2217

2218

2219

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT=- ..,.

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

2:

2:

2:

2:

1 :

2:

2:

2:

2:

2:

2:

2:

2:

2:

1 :

2:

2:

2:

2:

2:

2:

2:.

2:

2:

1 :

2:

2:

2:

2:

2:

2:

-» .

2:

2:

1 :

2:

2:

2:

2:

2:

2:

2:

2:

2:

1 :

2:

2:

2:

2:

2:

2:

2:

1 :

2:

2:

2:

2:

2:

2:

2:

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

N5ECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

N5ECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

52 :NNSW=

54:NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51:NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW=

51:NNSW=

51 :NNSW =

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW =

51:NNSW=

52:NNSW=

54:NN5W=

51 :NNSW=

51 :NNSW =

51:NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW =

51 :NNSW=

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW =

51:NNSW=

51:NNSW=

-5-1 :NN5W= -

51:NNSW= .

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

0:

0:

0:

0:

O:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0: .

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

550

551

552

553

554

566

557

558

559

570

571

572

573

574

575

556

557

558

559

560

561

562

563

564

565

577

568

569

57O

590

591

581

582

583

584

567

568

569

570

571

572

573

574

575

576

586

579

58O

589

592

593

594

595

578

579

580

581

582

583

584

549

550

551

552

553

567

556

557

558

571

572

573

574

575

576

555

567

568

569

559

560

561

562

563

564

578

567

568

569

591

581

582

583

584

585

566

578

579

580

570

571

572

573

574

575

587

578

579

590

593

594

595

596

577

587

588

591

581

582

583

561

562

563

564

565

555

567

568

569

559

560

561

562

563

564

567

568

569

570

571

572

573

574

575

576

566

578

579

580

570

571

572

573

574

575

578

579

580

590

591

581

582

583

584

585

577

587

588

580

r 581

582

583

584

587

588

589

592

593

594

595

B-37

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
TMSC-HEC TR F042668

2220

2221

2222

2223

2224

2225

2226

2227

2228

2229

2230

2231

2232

2233

2234

2235

2236

2237

2238

2239

2240

2241

2242

2243

2244

2245

2246

2247

2248

2249

2250

2251

2252

2253

2254

2255

2256

2257

2258

2259

2260

2261

2262

2263

2264

2265

2266

2267

2268

2269

2270

2271

2272

2273

2274

2275

2276

2277

2278

2279

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT= .

NMAT =

NMAT =

NMAT =

NMAT =

NMAT=

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

NMAT =

1 :

2:

2:

2:

1 :

' 2:

2:

2:

1 :

2:

2:

2:

1 :

2:

2:

2:

1 :

2:

2:

'2:

2:

2:

2:

2:

.2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

2:

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

N5ECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

52:NNSW=

54:NNSW=

51 :NNSW=

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW=

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW=

51 :NNSW=

52:NNSW=

54:NNSW=

51 :NNSW =

51 :NNSW =

52:NNSW=

51 :NNSW=

51 :NNSW =

51:NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NN5W =

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

51 :NNSW=

.51 :NNSW=

51 :NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

53:NNSW=

O:

0:

O:

O:

0:

O:

0:

0:

0:

O:

0:

0:

0:

0:

0:

0:

0:

0:

O:

0:

0:

0:

0:

0:

0:

O:

0:

O:

O:

0:

0:

0:

O:

0:

O:

O:

O:

0:

0:

0:

O:

0:

O:

0:

0:

0:

0:

O:

0:

O:

0:

0:

0:

0:

0:

0:

0:

0:

0:

0:

585

586

587

594

595

598

599

601

602

437

438

445

446

597

598

600

601

588

604

599

589

6O5

59O

419

591

420

592

421

593

416

600

603

599

438

44O

606

441

607

442

413

443

414

444

415

416

428

608

609

610

61 1

612

613

614

615

616

617

429

608

609

610

584

587

588

595

596

597

598

600

601

436.

437

444

445

598

599

6O1

6O2

589

599

604

590

604

591

6O5

592

419

593

420

594

421

416

606

606

606

439

607

440

413

441

4 14

442

415

443

416

60O

435

613

614

615

616

617

6O8

609

61O

611

612

422

605

604

603

596

597

598

60O

601

587

588

595

596

597

598

600

601

437

438

445

446

604

588

603

604

590

605

591

419

592

420

593

421

594

594

599

438

439

606

440

6O7

441

413

442

4'14

443

415

444

444

608

609

610

61 1

612

422

435

613

614

615

616

617

428

608

609

B-38

LOCKHEEIHHUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

228O

2281

2282

2283

2284

2285

2286

2287

2288

2289

2290

2291

2292

2293

2294

2295

2296

2297

2298

2299

2300

NMAT =

NMAT =

NMAT =

NMAT =

NMAJ =

NMAT =

.NMAT=

NMAT =

NMAT =

2: NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

NSECT=

RESET

Ts. 1-

0XOT

0XQT

0XQT

RESET

0XQT

RESET

9XQT

TOC 1

»PIN

1-4 1. 2OO.

G=386.

19 -.1-2

TAN

EKS

K

SPOP=2,CORE=30OOO

E4

NMODES=20,NREO=15

DCU

53:NNSW= O:

53:NNSW= 0:

53:NNSW= 0:

53:NNSW= O:

53:NNSW= O:

53:NNSW= 0:

53:NNSW= O:

53:NNSW= 0:

53:NNSW= O:

1-3 .1-3 .1-3

61 t

612

422

419

605

604

603

606

607

6O6

6O7

413

428

608

609

610

611

612

610

611

612

605

604

603

606

607

413

PXOT TAB

TAB 211 DATA SPACE= 2OOOO, DATE/TIME= 851OO8 180022

665 JOINTS.

ACTIVE JOINT MOTION COMPONENTS= 12345 6

B-39

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

ALTERNATE REFERENCE FRAME DEFINITIONS

REFERENCE FRAME

INPUT OPTION 1

ROTATE -.9OOOOOOO+02 DEGREES ABOUT AXIS 1

ROTATE .10920290+03 DEGREES ABOUT AXIS 2

ROTATE .18000000+03 DEGREES ABOUT AXIS 3

0=

X1 =

X2 =

X3 =

.32891447+00

.18952202-O7

.94435971+00

.1811045O+O1

• .47676100+01

.10O7OOOO+02

.94435971+00

- .25604210-07

-.32891447+00

.30413239-07

. 10OOOOOO+O1

.94761012-08

REFERENCE FRAME

INPUT OPTION 1

REFERENCE FRAME

INPUT OPTION 1

ROTATE

ROTATE

ROTATE

0 =

X1= .

X2= .

X3 =

. 1800000O+03

. 1800OOOO+03

.22019990+03

763797 12+OO

6454564O+00

57620458-07 -.

OOOOOOOO

OOOOOOOO

OOOOOOOO

DEGREES ABOUT

DEGREES ABOUT

DEGREES ABOUT

6454564O+OO

76379712+00

57620458-07

AXIS 1

AXIS 2

AXIS 3

.81201832-07

.68188468-08

. 10000000+01

ROTATE

ROTATE

ROTATE

0=

X1= .

X2= .

X3 =

. 180OOOOO+03

. 18OOOOOO+O3

.22019990+03

76379712+OO

6454564O+00

57620458-07 -.

OOOOOOOO

OOOOOOOO

1O0750OO+02

DEGREES ABOUT

DEGREES ABOUT

DEGREES ABOUT

6454564O+OO

763797 12+OO

57620458-07

AXIS 1

AXIS 2

AXIS 3

.81201832-07

.68188468-08

. 1OOOOOOO+01

REFERENCE FRAME

INPUT OPTION 1

ROTATE .OOOOOOOO DEGREES ABOUT AXIS 1

ROTATE .1800OOOO+O3 DEGREES ABOUT AXIS 2

ROTATE . 18OOOOOO+O3 DEGREES ABOUT AXIS 3

0= .10000000+01 -.57620458-07 -.57620458-07

B-40

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
mSC-HEC'TR F042668

-.57620458-07 -.1000OOOO+O1 .33201)71-14

-.57620458-07 .OOOOOOOO -.1OOOOOOO+01

X1= .OOOOOOOO

X2= .OOOOOOOO

X3= .100750OO+02

REFERENCE FRAME 6

INPUT OPTION 1

ROTATE .OOOOOOOO DEGREES ABOUT AXIS 1

ROTATE .OOOOOOOO DEGREES ABOUT AXIS 2

ROTATE .OOOOOOOO DEGREES ABOUT AXIS 3

0= .1000OOOO+01 .OOOOOOOO .OOOOOOOO

.OOOOOOOO .1OOOOOOO+01 .OOOOOOOO

.OOOOOOOO .OOOOOOOO .1OOOOOOO+01

X1= .OOOOOOOO

X2= .OOOOOOOO

X3= .1OO75OOO+02

B-41

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

JOINT LOCATIONS

LOCAL

JOINT NO.

1

2

3

4

5

6

7

8

9

10

1 1

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

45

46

47

48

49

50

51

52

53

54

55

56

GLOBAL

JOINT NO.

1

2

3

4

5

6

7

8

9

. 10

1 1

1.2

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

45

46

47

48

49

50

51

52

53

54

55

56

LOCAL RECTANGULAR COORDINATES

X1

.26500O+O1

.214390+01

.818895+00

-.818895+00

- .214390+01

-.26500O+O1

-.214390+01

-.818895+00

.818895+00

.214390+01

.228000+01

. 184456+01

. 704559+00

- . 704559+00

- . 184456+01

-.2280OO+O1

- . 184456+01

-.7O4559+OO

.7O4559+OO

. 184456+01

. 15000O+01

. 149668+O1

.686O18+OO

-.686018+OO

- . 173939+01

- .218OOO+O1

-. 173939+01

-.686018+00

.686018+00

. 149668+O1

.250OOO+O1

. 173939+01

.695288+00

- .6551 16+OO

- . 173939+O1

- .21 1000+O1

-. 173939+01

- .6551 16+00

.695288+00

. 173939+01

. 1 5600O+0 1

. 161803+01

.686018+00

-.664387+00

-. 173939+O1

-.215000+01

-. 173939+01

- .664387+00

.686O18+OO

. 161803+01

. 1 17820+01

. 12378O+01

.820388+00

-.652026+OO

-. 17O703+01

-.2150OO+O1

X2

.OOOOOO

. 155763+01

.252030+01

.252O3O+01

. 155763+O1

.842342-07

-. 155763+O1

-.252030+01

-.252030+01

-. 155763+01

. OOOOOO

.134015+01

.216841+01

.216841+01

. 134015+01

.724732-07

- . 134O15+01

-.216841+01

- .216841+01

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. 150000+O1

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B-51

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

597

508

599

600

601

602

603

601

605

606

607

608

609

61O

61 1

612

613

614

615

616

617

618

619

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621

622

623

624

625

626

627

628

629

630

631

632

633

650

651

652

653

654

655 •

656

657

658

659

660

661

662

663

664

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634

635

636

637

638

639

640

597

598

599

600

601

602

603

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605

606

607

608

609

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61 1

612

613

614

615

616

617

618

619

620

621

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623

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625

626

627

628

629

630

631

632

633

650

651

652

653

654

655

656

657

658

659

660

661

662

663

664

665

634

635

636

637

638

639

640

.450000+01

.450000+01

.813000+01

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.450000+01

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.885000+01

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.884632+01

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!944974+01

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-945OOO+O1

.945035+01

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. 106501+02

. 106486+02

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. 106486+O2

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.350000+01

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. 18OOOO+03

. 202500+03

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.270000+03

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.315000+03

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B-52

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSG-HEC TR F042668

64 1

642

643

644

645

646

647

648

649

64 I

642

643

644

645

646

647

648

649

.689445+01

.746250+01

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.64OOOO»O1

.640000+01

.640000+01

.640000+01

B-53

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

JOINT REFERENCE FRAME ASSIGNMENTS

NREF J1 02 INC

2

2

2

2

2

2

2

2

2

2

2

2

. 2

2

2

2

2

2

2

2

2

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2

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2

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2

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2

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2

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-2

-2

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2

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2

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1

2

3

4

5

6

7

8

9

1O

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

4O

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

1

2

3

4

5

6

7

8

9

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1 1

12

13

14

15

16

17

18

19

20

2 J

22

23

24

25

26

27

28

29

3O

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

1

i

1

1

1

1

1

1

1

1

1.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

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1

1

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1

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1

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1

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-2

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57

58

59

60

61

62

63

64

65

66

67

68

69

7O

71

72

73

74

75

76

77

78

79

8O

81

82

83

84

85

86

87

88

89

9O

91

92

93

94

95

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97

98

99

10O

101

102

103

104

1O5

1O6

107

108

109

11O

11 1

112

113

114

1 15

1 16

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

1O2

103

1O4

105

1O6

107

108

109

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1 1

12

13

14

15

1 16

1

1

1

1

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1

1

1

1

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1

1

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B-54

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

-2

-2

-2

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

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-4

-4

-4

-4

-4

-4

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-4

-4

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-4

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-4

-4

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-4

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-4

-4

-4

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-4

-4

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-4

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-4

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-4

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1 17

1 18

1 19

12O

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

137

138

139

140

141

142

143

144

145

146

147

148

149

150

151

152

153

154

155

156

157

158

159

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161

162

163

164

165

166

167

168

169

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171

172

173

174

175

176

1 17

1 18

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120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

137

138

139

140

141

142

143

144

145

146

147

148

149

150

151

152

153

154

155

156

157

158

159

160

161

162

163

164

165

166

167

168

169

170

171

172

173

174

175

176

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

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1

1

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1

1

1

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177

178

179

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181

182

183

184

185

186

187

188

189

190

191

192

193

194

195

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197

198

199

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202

203

204

205

206

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210

21 1

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

230

231

232

233

234

235

236

177

178

179

180

181

182

183

184

185

186

187

188

189

190

191

192

193

194

195

196

197

198

199

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201

202

203

204

205

206

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208

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210

211

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

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231

232

233

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235

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1

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1

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1

1

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B-55

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

-4

-3

-3

-3

-2

-2

-4

-5

-5

-5

-5

-5

-5

-5

-5

-5

-4

-4

-5

-5

-5

-5

-5

-5

-5

-4

-4

-5

-5

-5

-5

-5

-5

-5

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-5

-4

-4

-5

-5

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-5

-5.

-5

-5

-5

-5

-4

-4

-5

-5

-5

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-5

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-5

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-4

-4

237

238

239

24O

241

242

243

244

245

246

247

248

249

25O

251

252

253

254

255

256

257

258

259

26O

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

295

296

237

238

239

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241

242

243

244

245

246

247

248

249

250

251

252

253

254

255 .

256

257

258

259

260

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

' 295

296

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

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1

1

1

1

1

1

1

1

1

1

-5

-5

-5

-5

-5

-5

-5

-5

-5

-4

-4

-5

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-5

-5

-5

-5

-5

-5

-5

-4

-4

-5

-5

-5

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-5

-5

-4

-4

-5

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-5

-5

-5

-5

-5

-4

-4

-5

-5

-5

-5

-5

-5

-5

-5

-5

-4

-4

-5

-5

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-5

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297

298

299

30O

301

302

303

3O4

305

306

3O7

308

309

310

311

312

313

314

315

316

317

318

319

320

321

322

323

324

325

326

327

328

329

330

331

332

333

334

335

336

337

338

339

340

341

342

343

344

345

346

347

348

349

35O

351

352

353

354

355

356

297

298

299

3OO

3O1

302

3O3

304

305

306

307

308

309

310

311

312

313

314

315

316

317

318

319

320

321

322

323

324

325

326

327

328

329

330

331

332

333

334

335

336

337

338

339

340

341

342

343

344

345

346

347

348

349

350

351

352

353

354

355

356

1

1

1

1

1

1

1

1

1

1

1

1

B-56

LOCKHEEIHHUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

5

5

5

5

4

4

5

5

5

5

5

5

5

5

5

4

4

5

5

5

5

5

5

5

-5

5

4

4

5

5

5

-5

-5

-5

-5

•4

•4

-5

•5

-5

5

5

5

5

5

5

.4

4

5

5

5

5

4

5

5

5

4

4

4

4

357

358

359

360

361

362

.363

364

365

366

367

368.

369

37O

371

372

373

374

375

376

377

378

379

38O

381

382

383

384

385

386

387

388

389

390

391

392

393

394

395

396

397

398

399

400

401

402

403

404

405

406

4O7

4O8

4O9

410

41 1

412

413

414

415

416

357

358

359

36O .

361

362

363

364

365

366

367

368

369

37O

371

372

373

374

375

376

377

378

379

380

381

382

383

384

385

386

387

388

389

390

391

392

393

394

395

396

397

398

399

40O

401

4O2

4O3

404

405

406

4O7

408

4O9

410

411

412

413

414

415

416

1

1

1

1

1

'1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

5

5

4

4.

4

4

5

5

5

5

5

4

4

4

4

4

4

4

4

4

6

6

6

6

6

6

6

6

6

4

4

6

6

6

6

6

6

6

4

4

6

6

6

6

6

6

6

6

6

4

4

6

6

6

6

6

6

6

6

6

417

418

419

420

421

422

423

424

425

426

427

428

429

430

431

432

433

434

435

436

437

438

439

440

441

442

443

444

445

446

447

448

449

45O

451

452

453

454

455

456

457

458

459

46O

461

462

463

464

465

466

467

468

469

470

471

472

473

474

475

476

417

418

419

420

421

422

423

424

425

426

427

428

429

430

431

432

433

434

435

436

437

438

439

440

441

442

443

444

445

446

447

448

449

450

451

452

453

454

455

456

457

458

459

460

461

462

463

464

465

466

467

468

469

470

471

472

473

474

475

476

B-57

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

477

478

479

480

481

482

483

484

485

486

487

488

489

49O

491

492

493

494

495

496

497

498

499

5OO

501

5O2

503

5O4

505

506

507

5O8

509

510

51 1

512

513

514

515

516

517

518

519

52O

521

522

523

524

525

526

527

528

529

530

531

532

533

534

535

536

477

478

479

480

481

482

483

484

485

486

487

488

489

49O

491

492

493

494

495

496

497

498

499

5OO

501

502

503

5O4

5O5

506

5O7

508

509

510

511

512

513

514

515

516

517

518

519

52O

521

522

523

524

525

526

527

528

529

530

531

532

533

534

535

536

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

. 1

1

1

1

1

1

1

•1

1

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-4

537

538

539

540

541

542

543

544

545

546

547

548

549

550

551

552

553

554

555

556

557

558

559

560

561

562

563

564

565

566

567

568

569

570

571

572

573

574

575

576

577

578

579

58O

581

582

583

584

585

586

587

588

589

59O

591

592

593

594

595

596

537

538

539

540

541

542

543

544

545

546

547

548

549

550

551

552

553

554

555

556

557

558

559

560

561

562

563

564

565

566

567

568

569

570

571

572

573

574

575

576

577

578

579

580

581

582

583

584

585

586

587

588

589

59O

591

592

593

594

595

596

-4

-6

-6

-6

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

-6

597

598

599

600

601

602

603

604

605

606

6O7

608

609

610

611

612

613

614

615

616

617

618

597

598

599

6OO

6O1

602

603

604

605

606

607

6O8

609

610

611

612

613

614

615

616

617

665

1

1

1

1

1

1.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

B-58

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC^HEC TR F042668

ENTRY

1

2

3

4

.30000+O8

.300OO+08

.296OO+O8

.29600+08

NU

.30OOO+OO

.3OOOO+OO

.3OOOO+00

.30OOO+OO

G

11538+08

11538+08

11385+08

11385+08

SP Wl

.32596+00

.32596+00

.32596+00

.32596+00

ENTRY

1

2

3

4

ALPHA 1

.OOOOO

.OOOOO

.OOOOO

.OOOOO

ALPHA2

.00000

.00000 .

.OOOOO

.OOOOO

THETA

.OOOOO

.OOOOO

.00000

.OOOOO

B-59

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

SUMMARY OF CONSTRAINT CONDITIONS AND JOINT REFERENCE FRAME ASSIGNMENTS. (CONSTRAINT SET 1)

JOINT

1

6

1 1

16

21

26

31

36

41

46

. 51

56

61

66

71

76

81

86

91

96

1O1

1O6

1 1 1

t 16

121

126

131

136

141

146

151

156

161

166

1 71

176

181

186

191

196

201

206

2 11

216

221

226

231

236

241

246

251

256

261

266

271

276

281

JHEF

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-4

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-2

-5

-5

-5

-5

-5

-5

-5

-5

CONSTRAINT

000000

000000

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

. OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

JOINT

2

7

12

17

22

27

32

37

42

47

52

57

62

67

72

77

82

87

92

97

102

107

112

117

122

127

132

137

142

147

152

157

162

167

172

177

182

187

192

197

202

2O7

212

217

222

227

232

237

242

247

252

257

262

267

272

277

282

JREF

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-2

-5

-5

-5

-4

-5

-5

-5

-5

CONSTRAINT

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

JOINT v

3

8

13

18

23

28

33

38

43

48

S3

58

63

68

73

78

83

88

93

98

1O3

108

113

118

123

128

133

138

143

148

153

158

163

168

173

178

183

188

193

198

203

208

213

218

223

228

233

238

243

248

253

258

263

268

273

278

283

JBEF

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-3

-4

-5

-4

-5

-4

-5

-4

-5

-5

CONSTRAINT

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

JOINT JHE

4 -2

9 -2

14 -2

19 -2

24 -2

29 -2

34 -2

39 -2

44 -2

49 -2

54 -2

59 -2

64 -1

69 -4

74 -J

79 -2

84 -J

89 -5

94 -5

99 -1

1O4 -1

1O9 -4

114 -:

119 -:

124 -<

129 -'

134 -

139 -

144 -

149 -

154 -

159 -

164 -

169 -

174 -

179 -

184

189 -

194 -

199 -

204 -

209 -

214 -

219 -

224 -

229 -

234 -

239 -

244 -

249 -

254 -

259 -

264 -

269 -

274 -

279 -

284 -

F CONSTRAINT

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

4 OOOOOO

4 OOOOOO

4 OOOOOO

4 OOOOOO

3 OOOOOO

5 OOOOOO

5 OOOOOO

4 OOOOOO

5 OOOOOO

5 OOOOOO

5 OOOOOO

4 OOOOOO

5 OOOOOO

4 OOOOOO

JOINT >

5

10

15

20

25

30

35

40

45

so

55

6O

65

7O

75

8O

85

9O

95

1OO

1O5

11O

115

. 12O

125

13O

135

14O

145

15O

155

16O

165

170

175

18O

185

19O

195

200

205

2IO

215

220

225

230

235

24O

245

250

255

26O

265

27O

275

280

285

JREF

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

-3

-5

-5

-5

-5

-5

-5

-5

-5

-4

CONSTRAINT

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

B-60

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

2B6

291

296

301

306

31 1

316

321

326

331

336

341

346

351

356

361

366

371

376

381

386

391

396

401

4O6

411

416

421

426

431

436

441

446

451

456

461

466

471

476

481

486

491

496

501

506

511

516

521

526

531

536

541

546

551

556

561

566

571

576

581

-5

-5

-4

-5

-4

-5

-5

-5

-5

-5

-S

-S

-5

-4

-S

-4

-5

-5

-S

-5

-5

-5

-5

-S

-5

-5

-4

-4

-5

-4

-4

-6

-4

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

287

292

297

302

307

312

317

322

327

332

337

342

347

352

357

362

367

372

377

382

387

392

397

402

407

412

417

422

427

432

437

442

447

452

457

462

467

472

477

482

487

492

497

502

507

512

517

522

527

532

537

542

547

552

557

562

567

572

577

582

-5

.-5

-5

-5

-4

-5

-4

-5

-5

-5

-S

-5

-5

-5

-5

-4

-5

-4

-5

-5

-5

-4

-5

-5

-5

-5

-5

-4

-5

-4

-6

-6

-4

-6

-6

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

288

293

298

303

308

313

318

323

328

333

338

343

348

353

358

363

368

373

378

383

388

393

398

403

408

413

418

423

428

433

438

443

448

453

458

463

468

473

478

483

488

493

498

S03

508

513

S18

523

S28

S33

538

543

548

553

S58

563

568

573

578

583

-5

-5

-5

-5

-5

-5

-4

-5

-4

-5

-5

-5

-5

-5

-5

-5

-5

-4

-5

-4

-S

-4

-5

-4

-5

-4

-5

-5

-4

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

289 -5

294 -5

299 -5

304 -5

309 -5

314 -S

319 -5

324 -5

329 -4

334 -5

339 -4

344 -S

349 -5

354 -5

359 -5

364 -S

369 -5

374 -5

379 -5

384 -4

389 -5

394 -5

399 -S

404 -4

4O9 -4

414 -4

419 -4

424 -S

429 -4

434 -4

439 -6

444 -6

449 -6

454 -6

459 -6

464 -6

469 -6

474 -6

479 -6

484 -6

489 -4

494 -6

499 -4

504 -6

509 -6

514 -6

519 -6

524 -6

529 -6

534 -6

539 -6

544 -4

549 -6

554 -4

559 -6

564 -6

569 -6

574 -6

579 -6

584 -6

000000

OOOOOO

000000

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

290

295

3OO

3O5

310

315

320

325

330

335

340

345

350

355

360

365

370

375

38O

385

390

395

4OO

405

410

415

420

425

430

435

440

445

450

455

460

465

470

475

480

485

490

495

5OO

505

510

515

520

525

530

535

540

545

550

555

560

565

570

575

5BO

585

-5

-4

-5

-5

-5

-5

-5

-5

-5

-5

-4

-5

-4

-5

-5

-5

-5

-5

-5

-5

-5

-5

-5

-5

-5

-4

-4

-S

-4

-4

-6

-6

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

-6

-6

-6

-6

-6

-6

-6

-4

-6

-4

-6

-6

-6

-4

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

OOOOOO

B-61

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

LIBRARY OT MEMBER (BEAM) ELEMENT REFERENCE FRAME ORIENTATION SPECIFICATIONS

ENTRY

NO.

NO.

11- 1. THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 3'' -.44256OOO+O1 -.25346OOO+01

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.17442873+01 -.47924525*01

II- 1. THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 2'- .6700OOOO+O1 .OOOOOOOO

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.77760295+01 .44047102+01

It- 1, THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 2'- .OOOOOOOO .OOOOOOOO

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.10536929+02 -.17284402+01

11- 1, THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 3'- -.44256OOO+O1 -.25346000+01

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.17442873+O1 -.47924525+01

II- 1. THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 5'- .10652OOO+O2 -.32262OOO+01

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- .1O65200O+02 .32261994+01

I1» 1. THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 5'- .10652OOO+O2 .32262OOO+OI

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- .106S20OO+02 -.32262006+01

II- 1, THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 5'- .106520OO+02 -.32262OOO+O1

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- .1O652OOO+O2 .32261994+01

. 1OO75OOO+02

. 1OO75OOO»O2

-.B650OOOO+O1

. 1OO7OOOO+O2

-.924OOOOO<OI

. 10070000+02

.10O750OO+02

.10O75OOO+O2

.OOOOOOOO

.10074999+02

.OOOOOOOO

.1OO74999+O2

.OOOOOOOO

.10O74999»O2

.99999999 R21 IS POSITIVE

B-62

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

LIBRARV OF MEMBER (BEAM) ELEMENT REFERENCE FRAME ORIENTATION SPECIFICATIONS

ENTRY

NO. 1. II- 1. THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 3'- -.44256000*01

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.17442873*01

NO. 2. II- 1, THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 2'- .67OOOOOO*O1

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.77760295*01

NO. 3. II- 1, THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 2'- .OOOOOOOO

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.10536929*02

NO. 4. II- 1, THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 3'- -.44256000*01

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- -.17442873*01

NO. 5. 11-1 . THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 5'- ..106320OO*O2

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- .10652OOO+02

NO. 6. 11-1 . THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 5'- .1O652OOO+O2

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- .10652000*02

NO. 7. 11-1 . THIRD POINT COORDINATES RELATIVE TO ALTERNATE FRAME' 5'- .10652OOO*O2

THIRD POINT COORDINATES RELATIVE TO GLOBAL REFERENCE FRAME- .10652000*02

NO. 8 R11 - .99999999 R21 IS POSITIVE

-.253460OO+01

-.47924525*01

.OOOOOOOO

.44047102+01

.OOOOOOOO

-. 17284402*01

-.25346000+01

-.47924525+01

-.32262000*01

.32261994*01

.322620OO+O1

-.32262006+01

-.32262000+01

.32261994+01

. 10075000>02

.1OO75OOO+O2

-.865OOOOO1OI

. 1007OOOO+02

-.92400OOO<OI

.1OO7OOOO+O2

.10075000102

. 1O075OOO+O2

. OOOOOOOO

.1OO74999+O2

.OOOOOOOO

. 1O074999+O2

.OOOOOOOO

. IOO74999+O2

B-63

LOCKHEEI>-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

MBit DA: t21 BUM SECTION PHOPERIIES

DATA SET TYPE B1 T1 B2 T2 B3 T3 HI H2 IBAR13

6 TUBE .SOOO+OO .1080+01 .OOOO .OOOO .OOOO .OOOO .OOOO .OOOO -OOOO

B-64

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

TABLE BA: E21 BEAM SECTION PROPERTIES

SET II ALPHA 1 12 ALPHA2 AREA

1 .85100-01 .OOOOO .900OO-O3 .OOOOO .32200+00

2 .92860-01 .OOOOO .98420-01 .OOOOO .10710+01

3 .28089+00 .OOOOO .28930+00 .00000 .18495+01

4 .851OO-01 .OOOOO .90OOO-O3 .OOOOO .322OO+OO

5 .23720-01 .OOOOO .98550-01 .OOOOO .58100+OO

6 .10194+01 .1OOOO+01 .10194+01 .1OOOO+O1 .28790+01

B-65

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

TABLE BA: E21 BEAM SECTION PROPERTIES

SET F1 F2 Z1 Z2 THETA

1 .86OOO-O1 .OOOOO .OOOOO .OOOOO .OOOOO

2 .19126+00 .OOOOO .OOOOO .OOOOO .OOOOO

3 .57019+OO .OOOOO .OOOOO .OOOOO .OOOOO

4 .86OOO-O1 .OOOOO .OOOOO .OOOOO .OOOOO

5 .57070-01 .OOOOO .OOOOO .OOOOO .OOOOO

/. 6 .20389+01 .OOOOO .OOOOO .OOOOO .OOOOO

B-66

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

TABLE BA: E21 BEAM SECTION PROPERTIES

SET 01 02 03

1 .OOOOO .OOOOO .OOOOO

2 .OOOOO .OOOOO .OOOOO

3 .OOOOO .OOOOO .OOOOO

4 .OOOOO .OOOOO .OOOOO

5 .OOOOO .OOOOO .OOOOO

6 .OOOOO .00000 .00000

B-67

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

TABLE BA: E21 BEAM SECTION PROPERTIES

SET Y11 Y12 Y21 Y22

1 .OOOOO .OOOOO .OOOOO .OOOOO

2 .OOOOO .OOOOO .OOOOO .OOOOO

3 .OOOOO .OOOOO .OOOOO .OOOOO

4 .OOOOO .OOOOO .OOOOO .OOOOO

5 .OOOOO .OOOOO .OOOOO .OOOOO

6 .1O80O+O1 .OOOOO .OOOOO .10800+01

B-68

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
TABLE 8A: E21 BEAM SECTION PROPERTIES

LMSC-HEC TR F042668

SET

1

2

3

4

5

6

STOP TAB

Y31

00000

00000

OOOOO

ooooo

OOOOO

1O8OO+O1

Y32

. OOOOO

. OOOOO

.OOOOO

.OOOOO

.OOOOO

.OOOOO

Y41

.OOOOO

.OOOOO

.OOOOO

.OOOOO

.OOOOO

.OOOOO

3.6O3 24

Y42

.OOOOO

.OOOOO

.OOOOO

.OOOOO

.OOOOO

.1O8OO+01

8

OXOT ELD

ELO 211 DATA SPACE= 2OOOO. DATE/TIME= 851008 180O41

B-69

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E21 GROUP 1

CONNECTS

INDEX

1

2

3

4

5

6

7

8

9

1O

1 1

12

13

14

15

16

17

18

19

2O

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

4O

41

42

43

44

45

46

- 47

J1

120

122

130

139

148

157

166

175

184

193

210

219

228

237

83

74

•75

76

77

78

79

8O

81

82

1O

1

2

3

4

5

6

7

8

9

61

43O

431

432

433

434

435

613

614

615

616

617

429

J2 NMAT NSECT NNSW NOFF NREF

121

129

138

147

156

165

174

183

192

201

202

211

22O

229

74

75

76

77

78

79

80

81

82

83

1

2

3

4

5

6

7

8

9

1O

69

429

430

431

432

433

434

435

613

614

615

616

617

2

2

2

2

2

2

2 '

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

1

1

1

1

1

1

1

1

1

2

2

2

2

2

2

2

2

2

2

3

3

3

3

3

3

3

3

3

3

1

5

5

5

5

5

5

5

5

5

5

5

5

O

0

O

0

0

O

O

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

O

O

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

O

0

O

0

O

O

0

0

0

0

O

O

0

0

0

0

O

0

0

O

0

O

0

0

0

O

0

O

0

0

O

0

0

0

0

0

0

0

0

0

0

0

O

1

1

1

1

1

1

1

1

2

2

2

2

2

2

2

2

2

2

3

3

3

3

3

3

3

3

3

3

4

5

5

5

5

5

6

6

6

6

6

6

7

B-70

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042663

E43 GROUP 1

CONNECTED JOINTS

INDEX

1

2

3

4

5

6

7

8

9

10

1 1

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

J1

256

265

276

287

298

245

375

386

342

353

364

395

406

449

458

469

480

491

438

568

579

535

546

557

588

599

02

255

264

275

286

297

244

374

385

341

352

363

394

405

448

457

468

479

490

437

567

578

534

545

556

587

598

J3

261

272

283

294

305

252

382

391

349

360

371

402

408

454

465

476

487

498

445

575

584

542

553

564

595

601

04 NMAT NSECT

26O

271

282

293

304

251

381

39O

348

359

37O

401

407

453

464

475

486

497

444

574

583

541

552

563

1

2

3

4

5

6

1

2

3

4

5

6

7

1

2

3

4

5

6

1

2

3

4

5

594 1 6

6OO 1 7

NNSW NREF SREF

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

o

o

0

0

0

0

0

0

0

o

o

o

o

o

0

o

o

o

o

o

0

0

o

0

0

0

0

0

0

0

0

0

B-71

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E43 GROUP 2

CONNECTED JOINTS

INDEX

1

2

3

4

5

6

7

8

9

10

1 1

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

45

46

. . 47

48

01

597

586

577

566

555

544

533

522

51 1

500

489

478

467

456

447

436

597

586

577

566

555

544

533

522

511

5OO

489

478

467

456

447

436

65O

651

652

653

654

655

656

657

658

659

66O

661

662

663

- 664

665

02

586

577

566

555

544

533

522

511

5OO

489

478

467

456

447

436

597

586

577

566

555

544

533

522

51 1

5OO

489

478

467

456

447

436

597

618

619

620

621

622

623

624

625

626

627

628

629

630

631

632

633

03

651

652

653

654

655

656

657

658

659

660

661

662

663

664

665

65O

619

620

621

622

623

624

625

626

627

628

629

630

631

632

633

618

619

620

621

622

623

624

625

626

627

628

629

630

631

632

633

618

04 NMAT NSECT NNSW NREF SREF

650

651

652

653

654

655

656

657

658

659

66O

661

662

663

664

665

618

619

62O

621

622

623

624

625

626

627

628

629

63O

631

632

633

651

652

653

654

655

656

657

658

659

66O

661

662

663

664

665

65O

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

56

56

56

56

56

56

56

56

56

56

56

56

56

56

56

56

55

55

55

55

55

55

55

55

55

55

55

55

55

55

55

55

56

56

56

56

56

56

56

56

56

56

56

56

56

56

-- 56

56

0

0

0

O

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

O

0

O

0

O

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

1

.1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

O

0

0

0

0

0

O

0

0

0

O

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

B-72

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E43 GROUP 2

CONNECTED JOINTS

INDEX

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

01

634

635

636

637

638

639

64O

641

642

643

644

645

646

647

648

649

02

650

651

652

653

654

655

656

657

658

659

660

661

662

663

664

665

J3

651

652

653

654

655

656

657

658

659

66O

661

662

663

664

665

65O

04 NMAT NSECT NNSW NREF SREF

635

636

637

638

639

640

641

642

643

644

645

646

647

648

649

634

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

57

57

57

57

57

57

57

57

57

57

57

57

57

57

57

57

0

0

0

0

0

0

o

0

0

0

0

0

0

0

0

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

B-73

LOCKHEE0-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX

1

2

3

4

5

6

7

8

9

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

45

46

47

48

dl

1

2

3

4

5

6

7

8

9

10

12

13

14

15

16

17

18

19

2O

11

11

12

13

14

15

16

17

18

19

20

22

23

24

25

26

27

28

29

30

21

22

23

24

25

26

27

28

29

J2

2

3

4

5

6

7

8

9

10

1

1 1

12

13

14

15

16

17

18

19

20

12

13

14

15

16

17

18

19

2O

11

21

22

23

24

25

26

27

28

29

3O

23

24

25

26

27

28

29

30

03 NMAT NSECT NNSW NREF SREF

12

13

14

15

16

17

18

19

20

11

1

2

3

4

5

6

7

8

9

1O

22

23

24

25

26

27

28

29

30

21

11

12

13

14

15

16

17

18

19

20

33

34

35

36

37

38

39

40

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

8

9

9

9

9

9

9

9

9

8

8

9

9

9

9

9

9

9

9

8

10

11

11

1 1

1 1

11

1 1

1 1

11

10

10

1 1

1 1

1

1

1

1

. 1

1

10

12

12

12

12

12

12

12

12

0

O

0

0

0

0

0

0

0

O

0

0

0

0

0

O

0

O

0

0

0

0

0

O

0

O

0

0

0

0

0

O

0

O

0

0

0

0

0

O

O

O

O

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

O

O

0

0

O

0

.0

O

0

0

0

0

0

O

0

0

O

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

6

B-74

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1 »

CONNECTED JOINTS

INDEX

49

50

51

52

53

54

55

56

57

58

59

6O

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

, 94

95

96

J1

33

34

35

36

37

38

39

40

31

32

33

34

35

36

37

38

39

40

42

43

44

45

46

47

48

49

50

41

42

43

44

45

46

47

48

49

53

54

55

56

57

58

59

60

122

124

125

41

02

32

33

34

35

36

37

38

39

32

33

34

35

36

37

38

39

40

31

41

42

43

44

45

46

47

48

49

5O

43

44

45

46

47

48

49

50

52

53

54

55

56

57

58

59

123

122

124

125

03 NMAT NSECT NNSW NREF SREF

22

23

24

25

26

27

28

29

42

43

44

45

46

47

48

49

50

41

31

32

33

34

35

36

37

38

39

4O

53

54

55

56

57

58

59

60

42

43

44

45

46

47

48

49

51

7O

7O

71

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

12

12

12

12

12

12

12

12

13

12

14

14

14

14

14

14

12

13

13

12

14

14

14

14

14

14

12

13

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

16

16

16

16

0

O

0

0

0

O

0

0

0

0

0

0

0

0

O

O

0

0

O

0

0

0

0

O

0

O

O

O

O

O

0

O

0

0

O

O

O

0

O

O

O

O

O

0

0

O

0

O

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

. 1

1

1

1

1

1

1

1

O

O

0

O

0

O

O

0

O

0

0

0

0

0

O

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

B-75

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

DEX

97

98

99

10O

1O1

102

1O3

104

105

106

107

108

109

110

1 1 1

112

113

1 14

115

1 16

1.17

118

119

12O

121

122

123

124

125

126

127

128

129

13O

131

132

133

134

135

136

13,7

138

139

140

141

142

143

144

01

126

127

129

128

52

51

70

71

72

73

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

60

61

62

63

64

65

66

67

68

155

154

153

152

151

150

149

148

1

99

02

41

126

127

129

51

7O

71

72

73

60

52

53

54

55

56

57

58

59

60

73

120

61

62

63

64

65

66

67

68

121

62

63

64

65

66

67

68

69

156

155

154

153

152

151

150

149

89

1 1

03 NMAT NSECT NNSW NREF SREF

71

72

72

6O

123

122

125

126

129

129

12O

62

63

64

65

66

67

68

69

121

52

52

53

54

55

56

57

58

59

69

155

154

153

152

151

150

149

148

61

62

63

64

65

66

67

68

99

1

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

1.6

16

16

16

16

16

16

16

17

17

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

o

0

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

B-76

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

£33 GROUP 1

CONNECTED JOINTS

IDEX

145

146

147

148

149

150

151

152

153

154

155

156

157

158

159

16O

161

162

163

164

165

166

167

168

169

170

171

172

173

174

175

176

177

178

179

18O

181

182

183

184

185

186

187

188

189

190

191

192

01

11

12

11

20

84

94

94

104

31

20

109

108

11

40

40

32

32

118

1 19

114

114

40

32

73

73

70

51

74

75

76

77

78

79

80

81

82

83

85

86

87

88

89

9O

91

92

93

84

84

02

99

108

109

110

143

143

134

134

134

11

11O

109

12

1 17

3O

1 16

22

119

31

32

115

134

134

72

121

51

12O

75

76

77

78

79

80

81

82

83

74

84

85

86

87

88

89

90

91

92

93

85

03 NMAT NSECT NNSW NREF SREF

1O9

22

21

30

94

134

1O4

31

41

110

11

11

1O8

118

1 17

1 15

1 16

40

40

31

32

50

42

121

129

120

122

85

86

87

88

89

90

91

92

93

84

74

75

76

77

78

79

80

81

82

83

95

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

17

19

19

19

17

17

17

18

20

29

29

29

29

25

25

25

25

26

26

26

26

20

20

16

16

16

16

21

21

21

21

21

21

21

21

21

21

21

21

21

21

21

21

21

21

21

21

22

O

O

O

O

O

O

O

O

O

0

0

0

O

O

O

O

0

O

0

O

0

0

O

0

O

O

O

O

O

O

O

O

0

0

O

0

O

O

0

O

0

O

0

O

O

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

B-77

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX

193

194

195

196

197

198

199

200

20 1

202

2O3

2O4

205

206

207

208

2O9

21O

21 1

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

230

231

232

233

234

235

236

237

238

239

240

J1

85

86

87

88

89

90

91

92

93

95

96

97

98

99

100

101

102

1O3

94

94

95

96

97

98

99

1OO

101

102

1O3

1O5

106

107

1O8

1O9

1 10

1 1 1

1 12

1 13

1O4

104

105

106

1O7

108

109

11O

1 11

112

J2

86

87

88

89

90

91

92

93

84

94

95

96

97

98

99

100

101

102

103

95

96

97

98

99

100

101

1O2

103

94

104

105

106

107

108

109

110

1 1 1

112

113

105

106

107

108

109

110

1 1 1

112

113

J3 NMAT NSECT NNSW NREF SREF

96

97

98

99

100

101

1O2

1O3

94

84

85

86

87

88

89

90

91

92

93

105

106

107

108

109

11O

1 1 1

1 12

113

104

94

95

96

97

98

99

1OO

101

102

103

114

1 15

116

22

21

3O

1 17

118

119

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

22

22

22

22

22

22

22

22

22

22

22

22

22

22

22

22

22

22

22

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

24

24

24

24

25

24

24

24

24

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0.

0

0

0

b

0

0

0

O

0

0

0

0

0

0

0

1

1 .

1

1

1 .

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1.

1

1

1

1

1

1

1 .

1

1

1

1

1

1

1

1

1

1

1

1

1

O

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

B-78

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX

241

242

243

244

245

246

247

248

249

25O

251

252

253

254

255

256

257

258

259

26O

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

28O

281

282

283

284

285

286

287

288

01

1 13

1 14

1 15

1.16

22

21

30

117

118

1 19

31

122

123

124

125

41

126

127

128

131

132

133

134

135

136

137

138

130

131

132

133

134

135

136

137

140

141

142

. 143

144

145

146

147

148

149

150

151

152

J2

104

31

114

115

116

22

21

3O

117

118

119

123

124

125

41

126

127

128

129

13O

131

132

133

134

135

136

137

131

132

133

134

135

136

137

138

139

14O

141

142

143

144

145

146

149

150

151

152

153

03 NMAT NSECT NNSW NREF SREF

31

104

1O5

106

107

1O8

1O9

110

1 11

1 12

113

131

132

133

134

135

136

137

138

122

123

124

125

41

126

127

128

14O

141

142

143

144

145

146

147

130

131

132

133

134

135

136

137

158

159

160

161

162

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

24

24

24

24

24

24

24

24

24

24

24

28

27

27

27

27

27

27

28

28

27

27

27

27

27

27

28

28

27

27

27

27

27

27

28

28

27

27

27

27

27

27

28

29

30

30

30

30

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

O

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

O

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

O

O

0

0

0

0

O

0

B-79

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

£33 GROUP 1

CONNECTED JOINTS

INDEX J1 02 J3

289 153 154 163

290 154 155 164

291 155 156 165

292 158 157 148

293 159 158 149

294 160 159 150

295 161 16O 151

296 162 161 152

297 163 162 153

298 164 163 154

299 165 164 155

300 157 158 167

301 158 159 168

302 159 160 169

303 16O 161 170

304 161 162 171

305 162 163 172

306 163 164 173

307 164 165 174

308 167 166 157

309 168 167 158

310 169 168 159

311 17O 169 160

312 171 17O 161

313 172 171 162

314 173 172 163

315 . 174 173 164

316 166 167 176

317 167 168 177

318 168 169 178

319 169 17O 179

320 170 171 180

321 171 172 181

322 172 173 182

323 173 174 183

324 176 175 166

325 177 176 167

326 178 177 168

327 179 178 169

328 180 179 170

329 181 18O 171

330 182 181 172

331 183 182 173

332 175 176 185

333 176 177 186

334 177 178 187

335 178 179 188

336 179 18O 189

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

30

30

29

29

30

30

30

30

30

30

29

31

32

32

32

32

32

32

31

31

32

32

32

32

32

32

31

33

34

34

34

34

34

34

33

33

34

34

34

34

34

34

33

35

36

36

36

36

0

0

0

0

0

0

0

0

O

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0 .

0

0

0

0

0

0

0

0

O

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

O

0

0

O

0

O

0

0

0

0

0

0

0

0

0

O

0

0

O

O

0

0

0

O

0

0

0

0

0

0

0

O

0

0

0

0

0

O

0

0

0

0

0

O

0

0

B-80

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

tJ3 GROUP 1

CONNECTED JOINTS

INDEX J1 J2 03

337 18O 181 190

338 181 182 191

339 182 183 192

340 185 184 175

341 186 185 176

342 187 186 177

343 188 187 178

344 189 188 179

345 190 189 180

346 191 19O 181

347 192 191 182

348 184 185 194

349 185 186 195

350 186 187 196

351 187 188 197

352 188 189 198

353 189 19O 199

354 190 191 2OO

355 191 192 2O1

356 194 193 184

357 195 194 185

358 196 195 186

359 197 196 187

360 198 197 188

361 199 198 189

362 2OO 199 19O

363 201 200 191

364 193 194 203

365 194 195 204

366 195 196 2O5

367 196 197 206

368 197 198 207

369 198 199 208

370 199 20O 209

371 20O ' 201 210

372 2O3 202 193

373 204 203 194

374 205 204 195

375 206 205 196

376 207 206 197

377 208 207 198

378 2O9 208 199

379 210 209 2OO

380 2O2 203 212

381 203 204 213

382 2O4 205 214

383 2O5 206 215

384 2O6 207 216

NMAT

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

NSECT

36

36

35

35

36

36

36

36

36

36

35

37

38

38

38

38

38

38

37

37

38

38

38

38

38

38

37

39

40

40

40

40

40

40

39

40

40

40

40

40

40

40

39

41

42

42

42

42

NNSW NREF SREF

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

o

o

O

o

0

0

0

o

0

o

o

o

o

o

0

o

o

0

o

0

0

0

0

0

0

o

o

o

o

o .

o

o

0

0

o

0

o

0

o

0

0

o

0

0

o

0

o

0

0

0

0

0

0

o

o

0

0

0

0

0

0

0

0

o

0

o

0

0

0

0

o

0

o

0

0

0

0

0

o

B-81

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042663

E33 GROUP 1

CONNECTED JOINTS

INDEX

385

386

387

388

389

390

391

392

393

394

395

396

397

398

399

40O

401

402

403

404

405

406

407

408

409

41O

41 1

412

413

414

415

416

417

418

419

42O

421

422

423

424

425

426

427

428

429

43O

431

432

01

2O7

2O8

2O9

212

213

214

215

216

217

218

219

211

212

. 213

214

215

216

217

218

221

222

223

224

225

226

227

228

220

221

222

223

224

225

226

227

230

231

232

233

234

235

236

237

139

140

141

142

143

J2

208

209

210

21 1

212

213

214

215

216

217

218

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

221

222

223

224

225

226

227

228

229

230

231

232

233

234

235

236

140

141

142

143

144-

J3 NMAT NSECT NNSW NREF SREF

217

218

219

202

203

204

205

206

207

208

209

221

222

223

224

225

226

227

228

211

212

213

214

215

216

217

218

23O

231

232

233

234

235

236

237

22O

221

222

223

224

225

226

227

236

235

234

233

232

2

2

2

2

2

2

2

2

2 '

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

42

42

41

41

42

42

42

42

42

42

41

43

44

44

44

44

44

44 .

43

43

44 .

44

44

44

44

44

43

45

46

46

46

46

46

46

45

45

46

46

46

46

46

46

45

47

48

48

48

48

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

B-82

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR W42668

E33 GROUP 1

CONNECTED JOINTS

INDEX 01 02 03

433 144 . 145 231

434 145 146 230

435 146 147 229

436 236 237 139

437 235 236 140

438 234 235 141

439 233 234 142

440 232 233 143

441 231 232 144

442 230 231 145

443 229 23O 146

444 403 409 176

445 176 167 4O3

446 392 403 167

447 167 158 392

448 383 392 158

449 158 149 383

450 372 383 149

451 149 69 372

452 361 372 69

453 69 121 361

454 350 361 121

455 121 128 350

456 339 350 128

457 328 339 128

458 128 137 328

459 317 328 137

460 137 146 317

461 306 317 146

462 146 23O 3O6

463 295 306 230

464 230 221 295

465 284 295 221

466 221 212 284

467 273 284 212

468 212 203 273

469 262 273 203

470 203 194 262

471 253 262 194

472 194 185 253

473 409 253 185

474 596 602 191

475 191 20O 596

476 585 596 200

477 200 209 585

478 576 585 209

479 209 218 576

480 565 576 218

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

48

48

47

' 47

48

48

48

48

48

48

47

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

0

0

0

0

O

O

O

O

0

0

0

0

O

O

0

0

O

O

O

0

O

0

0

O

O

O

0

0

O

O

O

O

O

O

O

O

O

O

0

0

O

0

0

O

0

O

O

O

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

B-83

LOCKHEEI>-HUNTSVILLE ENGINEERING CENTER
LMSG-HEG TR -F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX 01 J2 J3

481 218 227 565

482 554 565 227

483 227 236 554

484 543 554 236

485 236 140 543

486 532 543 140

487 14O 131 532

488 521 532 131

489 131 123 521

490 51O 521 123

491 499 510 123

492 123 120 499

493 488 499 12O

494 12O 61 488

495 477 488 61

496 61 155 477

497 466 477 155

498 155 164 466

499 455 466 164

500 164 173 455

501 446 455 173

502 173 182 446

503 602 446 182

504 182 191 602

505 185 176 409

506 243 244 254

507 256 245 244

508 257 246 245

509 246 247 257

510 249 250 258

511 25O 251 259

512 251 252 260

513 252 253 261

514 255 254 244

515 255 256 244

516 256 257 245

517 258 248 249

518 259 258 250

519 26O 259 251

520 261 260 252

521 262 261 253

522 254 255 263

523 255 265 256

524 256 266 257

525 257 267 247

526 247 248 267

527 248 258 268

528 258 259 269

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

49

50

51

51

51

51

51

51

52

50

51

51

51

51

51

51

52

50

51

51

51

51

51

51

0

O

O

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

O

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

O

0

O

0

O

O

O

O

O

O

0

0

1

1

1

1 .

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

O

0

0

0

O

0

0

0

O

0

0

0

O

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

B-84

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC'TR F042668"

E33 GROUP \

CONNECTED JOINTS

INDEX J1 J2 03

529 259 260 27O

530 26O 261 271

531 261 262 272

532 264 263 255

533 264 265 255

534 265 266 256

535 266 267 257

536 268 267 248

537 269 268 258

538 27O 269 259

539 271 270 26O

540 272 271 261

541 273 272 262

542 263 264 274

543 264 276 265

544 265 277 266

545 266 278 267

546 267 268 278

547 268 269 279

548 269 27O 28O

549 270 271 281

550 271 272 282

551 272 273 283

552 275 274 264

553 275 276 264

554 276 277 265

555 277 278 266

556 279 278 268

557 280 279 269

558 281 280 27O

559 282 281 271

560 283 282 272

561 284 283 273

562 274 275 ^85

563 287 276 275

564 288 277 276

565 289 278 277

566 278 279 289

567 279 280 290

568 280 281 291

569 281 282 292

570 282 283 293

571 283 284 294

572 286 285 275

573 286 287 275

574 287 288 276

575 288 289 277

576 290 289 279

NMAT NSECT NNSW NREF SREF

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

5O

51

51

51

51

O

O

O

0

O

0

O

0

O

O

0

O

O

O

O

0

0

O

O

O

O

0

O

0

0

0

0

0

0

0

0

0

0

O

0

0

O

O

O

0

0

0

0

0

0

0

O

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1 .

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

6

B-85

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR FOA2668

E33 GROUP 1

CONNECTED JOINTS

INDEX J1 J2 03

577 291 29O 280

578 292 291 281

579 293 292 282

580 294 293 283

581 295 294 284

582 285 286 296

583 298 287 286

584 299 288 287

585 30O 289 288

586 289 29O 300

587 290 291 301

588 291 292 3O2

589 292 293 303

590 293 294 3O4

591 294 295 305

592 297 296 286

593 297 298 286

594 298 299 287

595 299 30O 288

596 301 30O 290

597 302 301 291

598 303 302 292

599 304 3O3 293

600 305 304 294

601 306 305 295

602 296 297 307

603 297 298 308

604 298 299 309

605 299 3OO 31O

606 300 301 311

607 301 3O2 312

608 302 303 313

609 303 304 314

610 304 305 315

611 305 306 316

612 3O8 307 297

613 3O9 308 298

614 310 309 299

615 311 31O 30O

616 312 311 301

617 313 312 302

618 314 313 303

619 315 314 304

620 316 315 305

621 317 316 306

622 307 3O8 318

623 3O8 309 319

624 3O9 31O 32ONMAT NSECT NNSW NREF SREF

2

2

2

2

1

2

2

2

2-

2

2

2

2

2

1

2 .

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

5O

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

50

SO

0

O

0

0

0

0

O

0

O

0

0

0

0

O

0

0

0

0

0

0

0

O

0

0

O

0

O

O

0

O

O

O

0

0

O

0

O

O

0

0

0

O

O

O

O

O

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

O

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

O

0

0

0

0

0

O

O

O

0

0

0

0

0

0

0

O

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

B-86

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX 01 02 J3

625 31O 311 321

626 311 312 322

627 312 313 323

628 313 314 324

629 314 315 325

630 315 316 326

631 316 317 327

632 319 318 308

633 32O 319 309

634 321 320 31O

635 322 321 311

636 323 322 312

637 324 323 313

638 325 324 314

639 326 325 315

640 327 326 316

641 328 327 317

642 329 330 318

643 330 331 319

644 331 332 32O

645 332 333 321

646 333 334 322

647 334 335 323

648 335 336 324

649 336 337 325

650 337 338 326

651 338 339 327

652 319 318 33O

653 32O 319 331

654 321 320 332

655 322 321 333

656 323 322 334

657 324 323 335

658 325 324 336

659 326 325 337

660 327 326 338

661 328 327 339

662 340 341 329

663 341 342 33O

664 342 343 331

665 343 344 332

666 344 345 333

667 345 346 334

668 346 347 335

669 347 348 336

670 348 349 337

671 349 350 338

672 330 329 341

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

50

5O

50

50

5O

50

52

50

50

50

50

5O

5O

50

50

50

52

50

50

50

50

50

5O

50

50

50

52

50

50

50

50

5O

5O

50

5O

50

52

50

51

51

51

51

51

51

51

51

52

5O

0

0

0

0

0

0

O

0

0

0

0

0

O

O

O

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

O

0

0

O

0

0

0

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

6

B-87

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX Ji J2 J3

673 331 330 342

674 332 331 343

675 333 332 344

676 334 333 345

677 335 334 346

678 336 335 347

679 337 336 348

680 338 337 349

681 339 338 35O

682 351 352 34O

683 342 341 352

684 342 353 343

685 343 354 344

686 355 356 344

687 356 357 345

688 357 358 346

689 358 359 347

690 359 360 348

691 360 361 349

692 341 340 352

693 342 352 353

694 343 353 354

695 344 354 355

696 345 344 356

697 346 345 357

698 347 346 358

699 348 347 359

700 349 348 360

701 35O 349 361

702 362 363 351

703 353 352 363

704 353 364 354

705 354 365 355

706 366 367 355

707 367 368 356

708 368 369 357

709 369 370 358

710 370 371 359

711 371 372 360

712 352 351 363

713 353 363 364

714 354 364 365

715 355 365 366

716 356 355 367

717 357 356 368

718 358 357 369

719 359 358 370

720 36O 359 371

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2.

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

..2

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

-51

0

0

0

0

0

0

0

0

0

o

0

0

0

0

0

o

0

o

0

0

0

o

0

0

0

0

0

0

0

0

0

0

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

o

0

0

0

o

0

0

0

0

0

0

0

0

0

0

0

0

0

o

0

0

0

0

0

0

0

0

0

0

0

0

ff-88

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX dl J2 J3

721 361 36O 372

722 373 374 362

723 364 363 374

724 365 364 375

725 366 365 376

726 377 378 366

727 378 379 367

728 379 38O 368

729 380 381 369

730 381 382 370

731 382 383 371

732 363 362 374

733 364 374 375

734 365 375 376

735 366 376 377

736 367 366 378

737 368 367 379

738 369 368 38O

739 370 369 381

740 371 37O 382

741 372 371 383

742 384 385 373

743 375 374 385

744 376 375 386

745 377 376 387

746 397 398 377

747 398 388 378

748 388 389 379

749 389 , 390 38O

750 390 ; 391 381

751 391

 ; 392 382

752 374*. 3,73 385

753 375'., 385 386

754 376 386 387

755 377, 387 397

756 378:/ 377 398

757 379 378 388

758 38O 379 389

759 381.. 380 390

760 382: 381 391

761 383. 382 392

762 393, 394 384

763 386 385 394

764 387 386 395

765 396 397 387

766 399 4OO 388

767 400 4O1 389

768 401 4O2 390

NMAT NSECT NNSW NREF SREF

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

51

51

51

51

51

52

50

51

51

51

. 51

51

51

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

. O

0

0

0

0

0

0

0

0

0

0

O

0

0

O

O

0

0

O

0

0

0

O

0

O

O

O

0

, 0

O

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

- 1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

O

O

0

0

0

O

O

0

0

0

O

0

O

0

O

O

O

B-89

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSG-HEC TR F042668

ORIGINAL PAGE IS

OF POOR QUALITY

E§3 G86UP 1

INB6X

769

776

771

772

773

774

775

776

777

778

779

786

781

782

783

784

73§

78e

787

738

789

796

791

79§

793

794

799

796

797

798

799

833

331

862

863

864

86§

866

867

368

369

816

811

§12

813

814

315

816

U1 J2 J3 NMAT N§EGT NNSW NREF sSEF

462

335

§38

§87

338

§3§

396

391

392

393

394

461

462

465

466

468

469

244

245

252

2§3

434

435

467

468

3§5

411

466

396

412

397

413

393

414

§99

415

463

416

467

416

468

24§

247

417

248

418

249

419

463

384

394

395

393

383

369

393

391

394

39§

462

483

464

431

437

433

§43

§44

§51

§52

465

46e

463

469

39@

46§

41 i

397

4 11

§98

412

399

413

486

414

491

419

4 1 6

41:7

417

417

§48

418

§47

419

§43

426

391

394

395

396

393

463

461

46§

433

434

465

467

488

394

395

462

46§ '

464

463

467

463

544

245

252

253

411

395

413

411

397

412

§93

413

399

414

468

415

461

481

466

245

248

417

247

418

243

419

249

1

2

2

2

2

2

2

2

1

2

2

2

1

2

2

2

1

2

2

2

1

2

2

2

1

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

52

§3

51

§1

51

11

§1

§1

52

§3

§1

§1

§2

56

§1

§1

§2

§8

51

11

52

§8

51

51

§2

§1

§1

81

§1

§1

91

§1

§1

§1

§1

§1

§1

§1

§1

§1

51

11

§1

§1

§1

51

§1

§1

3

3

3

. 8

8

3

8

8

6

6

3

8

8

3

8

3

3

3

6

6

6

6

8

8

8

8

8

3

8

3

6

6

6

8

8

3

8

3

8

8

3

3

8

3

6

3

6

6

1

1

i

1

1

1

1

.1

1

1

1

1

1

1

1

1

1

\

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

3

3

8

8

6

3

8

3

3

6

6

6

8

6

6

8

3

8

6

8

8

8

8

6

6

8

3

8

6

8

8

6

8

6

8

6

3

6

6

6

6

6

6

6

6

3

6

6

LOGKHllB=HUNfIVIIi
LMSC-HEC TR F042668

fc'J3 GROUP 1

CONNECTED OOINTS

INDEX

817

818

819

82O

821

822

823

824

825

826

827

828

829

83O

831

832

833

834

835

836

837

838

839

840

841

842

843

844

845

846

847

848

849

850

851

852

853

854

855

856

857

858

859

86O

861

862

863

864

J1

250

42O

251

421

416

422

423

424

425

426

427

430

431

432

433

434

435

423

424

425

426

427

428

413

412

41 1

41O

417

418

436

449

450

439

442

443

444

445

448

448

449

451

452

453

454

455

447

448

449

02

249

421

250

416

407

429

430

431

432

433

434

423

424

425

426

427

428

412

411

410

417

418

419

422

423

424

425

426

427

437

438

439

440

443

444

445

446

447

449

45O

441

451

452

453

454

448

458

459

03 NMAT NSECT NNSW NREF SREF

420

250

421

251

251

423

424

425

426

427

428

429

430

431

432

433

434

422

423

424

425

426

427

412

411

410

417

418

419

447

437

438

450

451

452

453

454

437

437

438

442

443

444

445

446

456

449

45O

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

1

2

2

2

51

51

51

51

51

53

53

53

53

53

53

53

53

53

53

53

53:

53

53

53

53

53

53

53

53

53

53

53

53

54

51

51

51

51

51

51

52

54

51

51

51

51

51

51

52

54

51

51

O 1 0

O

0

O

0

O

O

0

O

O

0

0

o

O

0

o

0

o

o

o

0

0

0

0

0

0

o

0

0

0

0

0

0

0

o

0

0

0

0

0

0

0

o

0

0

0 1 0

0 1 0

0 1 0

O ' 1 O

0 1 0

0 1 0

0 1 0

O 1 0

O 1 O

O 1 0

0 1 0

0 1 0

0 1 0

O 1 0

O 1 • O

0 1 0

0 1 0

0 1 0

0 1 0

O 1 0

O 1 O

O 1 O

O • 1 O

O 1 O

O 1 O

B-91

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX J1 J2 03

913 479 480 468

914 480 481 469

915 481 482 470

916 483 482 472

917 484 483 473

918 485 484 474

919 486 485 475

920 487 486 476

921 488 487 477

922 478 479 489

923 491 480 479

924 492 481 480

925 493 482 481

926 482 483 493

927 483 484 494

928 484 485 495

929 485 486 496

930 486 487 497

931 487 488 498

932 490 489 479

933 490 491 479

934 491 492 480

935 492 493 481

936 494 493 483

937 495 494 484

938 496 495 485

939 497 496 486

940 498 497 487

941 499 498 488

942 489 49O 500

943 490 491 5O1

944 491 492 5O2

945 492 493 503

946 493 494 5O4

947 494 495 5Q5

948 495 496 506

949 496 497 5O7

950 497 498 5O8

951 498 499 5O9

952 501 50O 490

953 502 501 491

954 503 502 492

955 5O4 5O3 493

956 505 504 494

957 506 505 495

958 5O7 506 496

959 5O8 507 497

960 509 508 498

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

2

2

1 '

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

O

O

0

0

0

0

O

0

0

0

0

O

O

0

0

0

0

0

0

O

0

0

0

0

0

O

0

0

0

0

0

O

O

0

O

O

0

O

0

0

0

0

0

O

0

0

O

O

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

0

0

0

O

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

B-92

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX 01 02 03

913 479 480 468

914 480 481 469

915 481 482 470

916 483 482 472

917 484 483 473

918 485 484 474

919 486 485 475

920 487 486 476

921 488 487 477

922 478 479 489

923 491 48O 479

924 492 481 480

925 493 482 481

926 482 483 493

927 483 484 494

928 484 485 495

929 485 486 496

930 486 487 497

931 487 488 498

932 490 489 479

933 490 491 479

934 491 492 480

935 492 493 481

936 494 493 483

937 495 494 484

938 496 495 485

939 497 496 486

940 498 497 487

941 499 498 488

942 489 490 500

943 490 491 501

944 491 492 502

945 492 493 503

946 493 494 504

947 494 495 5O5

948 495 496 506

949 496 497 5O7

950 497 498 508

951 498 499 5O9

952 501 500 490

953 5O2 501 491

954 503 502 492

955 504 503 493

956 505 504 494

957 506 505 495

958 5O7 506 496

959 508 507 497

960 5O9 508 498

NMAT NSECT NNSW NREF SREF

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

. 51

51

51

51

51

51

51

0

0

0

0

0

0

o

0

o

0

0

0

0

0

0

0

o

0

0

0

0

o

o

0

0

0

0

o

0

o

o

0

0

0

0

0

0

0

0 1 0

0 1 0

0 1 . O

0 1 0

0 1 0

0 1 0

0 1 O

0 1 O

0 1 O

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 • O

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

0 1 0

B-93

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX J1 J2 03

961 510 509 499

962 5OO 501 511

963 501 502 512

964 502 503 513

965 503 504 514

966 504 505 515

967 505 506 516

968 506 507 517

969 507 508 518

970 508 509 519

971 5O9 510 520

972 512 511 501

973 513 512 502

974 514 513 503

975 515 514 504

976 516 515 505

977 517 516 506

978 518 517 507

979 519 518 508

980 52O 519 509

981 521 520 510

982 522 523 511

983 523 524 512

984 524 525 513

985 525 526 514

986 526 527 515

987 527 528 516

988 528 529 517

989 529 530 518

990 53O 531 519

991 531 532 52O

992 512 511 523

993 513 512 524

994 514 513 525

995 515 514 526

996 516 515 527

997 517 516 528

998 518 517 529

999 519 518 53O

1000 52O 519 531

1001 521 520 532

1002 533 534 522

1003 534 535 523

1004 535 536 524

1005 536 537 525

1006 537 538 526

1007 538 539 527

1008 539 540 528

NMAT NSECT NNSW NREF SREF

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

52

54

SO

50

50

50

50

50

50

5O

52

54

5O

50

50

50

5O

50

50

50

52

54

5O

50

50

5O

50

50

50

SO

52

54

50

50

50

50

50

50

50

50

52

54

51

51

51

51

51

51

0

O

0

0

0

O

0

0

0

0

0

0

O

0

0

0

0

O

0

0

0

0

0

0

O

0

O

0

0

O

0

O

0

0

0

O

0

0

0

0

0

0

0

0

0

0

O

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

O

O

0

0

0

0

0

0

0

0

0

O

0

0

0

O

0

B-94

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX

1OO9

1010

1011

1O12

1O13

1O14

1O15

1O16

1O17

1O18

1019

1020

1O21

1O22

1023

1024

1O25

1026

1027

1028

1029

1030

1031

1032

1033

1O34

1035

1036

1037

1038

1039

1040

1041

1042

1043

1044

1045

1046

1047

1048

1049

1050

1051

1052

1053

1054

1055

1O56

J1

540

541

542

523

524

525

526

527

528

529

53O

531

532

544

535

535

536

548

549

55O

551

552

553

534

535

536

537

538

539

540

541

542

543

555

546

546

547

559

56O

561

562

563

564

545

546

547

548

549

J2

541

542

543

522

523

524

525

526

527

528

529

530

531

545

534

546

547

549

550

551

552

553

554

533

545

546

547

537

538

539

540

541

542

556

545

557

558

560

561

562

563

564

565

544

556

557

558

548--

03 NMAT NSECT NNSW NREF SREF

529

530

531

534

535

536

537

538

539

54O

541

542

543

533

545

536

537

537

538

539

54O

541

542

545

546

547

548

549

55O

551

552

553

554

544

556

547

548

548

549

550

551

552

553

556

557

558

559

560

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51 '•

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

O

0

0

O

O

0

0

0

0

0

0

0

0

0

0

0

0

O

O

O

O

o

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0 1 0

0 1 0

O 1 0

O 1 0

0 1 0

O 1 0

O 1 0

0 1 0

o

o

0

o

o

o

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

o

B-95

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX J1 J2 J3

1057 550 549 561

1058 551 550 562

1059 552 551 563

1060 553 552 564

1061 554 553 565

1062 566 567 555

1063 557 556 567

1064 558 557 568

1065 559 558 569

1066 57O 571 559

1067 571 572 560

1068 572 573 561

1069 573 574 562

1070 574 575 563

1071 575 576 564

1072 556 555 567

1073 557 567 568

1074 558 568 569

1075 559 569 570

1076 560 559 571

1077 561 56O 572

1078 562 561 573

1079 563 562 574

1080 564 563 575

1081 565 564 576

1082 577 578 566

1083 568 567 578

1084 569 568 579

1085 570 569 580

1086 59O 591 570

1087 591 581 571

1088 581 582 572

1089 582 583 573

1090 583 584 574

1091 584 585 575

1092 567 566 578

1093 568 578 579

1094 569 579 580

1095 57O 580 590

1096 571 570 591

1097 572 571 581

1098 573 572 582

1099 574 573 583

1100 575 574 584

1101 576 575 585

1102 586 587 577

1 1O3 579 578 587

11O4 58O 579 588

NMAT NSECT NNSW NREF

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

2

2

2

2

2

2

1

2

2

2

51

51

51

51

52

54

51

51

. 51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

51

51

51

51

51

51

51

51

52

54

- 51

51

0 1

0

O

0

0

O

0

0

0

O

0

0

0

0

0

O

0

0 1

0 1

0 1

0

0

0

0

0

O

o

0

0

0

0 1

0 1

0 1

0 1

0 1

0 1

0 1

0

0

0

0

0

0

0

0

0

0

0

SREF

O

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

o

0

0

0

0

o

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

o

0

B-96

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

' CONNECTED JOINTS

INDEX

1 105

1 106

1 107

1108

11O9

1 1O

1 1 1

1 12

1 13

1 14

1 15

1 16

1 17

1 18

1 19

11 2O

1121

1122

1123

1124

1125

1 126

1127

1 128

1 129

1130

1131

1132

1 133

1 134

1 135

1 136

1137

1 138

1 139

1 14O

1 141

1 142

1143

1144

1145

1146

1 147

1148

1 149

1150

1151

1152

01

589

592

593

594

595

578

579

580

581

582

583

584

585

586

587

594

595

598

599

601

602

437

438

445

446

597

598

600

601

588

604

599

589

6O5

590

419

591

42O

592

421

593

416

600

603

599

438

440

606

02

590

593

594

595

596

577

587 .

588

591

581

582

583

584

587

588

595

596

597

598

60O

601

436

437

444

445

598

599

601

602

589

599

604

590

6O4

591

605

592

419

593

420

594

421

416

606

6O6

6O6

439

607

03 NMAT NSECT NNSW NREF SREF

580

581 -

582

583

584

587

588

589

592

593

594

595

596

597

598

6OO

601

587

588

595

596

597

598

600

601

437

438

445

446

604

588

603

604

59O

605

591

419

592

42O

593

421

594

594

599

438

439

606

44O

2

2

2

2

1

2

2

2

2

2

2

2

1

2

2

2

1

2

2

2

1

2

2

2

1

2

2

2

1

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

51

51

51

51

52

54

51

51

51

51

51

51

52

54

51

51

52

54

51

51

52

54

51

51

52

54

51

51

52

51

51

51

51

51

51

51

51

51

51

51

51

51

51

51

51

51

51

51

O

0

0

O

O

0

O

0

O

0

O

O

O

0

O

O

0

0

0

O

0

O

O

O

O

0

O

0

0

O

O

0

0

0

O

0

0

O

0

0

0

O

0

0

O

0

0

O ...

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

O

0

0

0

O

0

0

O

0

0

0

0

0

0

0

0

0

O

0

0

0

0

O

0

O

b

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

O

O

0

0

0

0

0

B-97

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

E33 GROUP 1

CONNECTED JOINTS

INDEX

1153

1154

1155

1156

1157

1158

1159

116O

1161

1162

1163

1164

1165

1166

1167

1168

1169

1 17O

1 171

1172

1173

1174

1175

1176

1177

1178

1179

1180

1181

1182

1183

1184

1185

STOP

J1

441

607

442

413

443

414

444

415

416

428

608

609

61O

611

612

613

614

615

616

617

429

6O8

6O9

610

611

612

422

419

605

604

603

6O6

607

ELD

J2

44O

413

441

414

442

415

443

416

600

435

613

614

615

616

617

608

609

61O

611

612

422

605

604

603

606

607

413

428

608

609

61O

61 1

612

J3 NMAT

607

441

413

442

414

443

415

444

444

608

609

610

61 1

612

422

435

613

614

615

616

617

428

608

609

610

611

612

6O5

604

6O3

606

607

413

8.636

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

NSECT

51

51

51

51

51

51

51

51

51

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

53

42

NNSW NREF

0

0

O

0

0

0

0

0

0

0

0

O

O

O

O

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

8

F

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

SREF

0

0

0

0

0

O

0

0

0

0

0

0

O

0

0

O

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

4

0XQT E

G .386000OO+03

E 211 DATA SPACE= 20OOO, DATE/TIME= 851008 180054

T= .10000-19 -.1OOOO-02 . 10OOO-04 .1OOOO+01

.20000+03 .1OOOO-03 .10OOO-03 .10000-03

ERROR LEVELS= 22O2222 2

B-98

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

ELEMENT GEOMETRY ERROR SUMMARY

ERROR ERROR TEST

CODE FLAG VALUE

3 O .10O-O4

ERROR

COUNT TEST DESCRIPTION

32 WARPED 4-NODE SURFACE

TYPE GROUP

E21 1

E43 1

E43 2

E43 ALL

E33 1

L, VOL OR

AREA SUM

.580744+02

.685034+02

.325628+03

.394131+03

. 119831+04

STRUCTURAL NON-STRUCTURAL

WEIGHT WEIGHT

.178O57+O2 .bOOOOO

.490634+01

. 118203+O3

. 123109+O3

. 113772+O3

.000000

.000000

.OOOOOO

.OOOOOO

TOTAL .254686+03 .OOOOOO

TOTAL 2-NODE

TOTAL 3-NODE

TOTAL 4-NODE

STOP E

.5807442+02

. 1198308+04

.3941312+03

11.933 39 82 11 16

PXOT TAN

TAN 211 DATA SPACE' 30OOO,

NO. OF 2-NODE ELEMENTS' 47

NO. OF 3-NODE ELEMENTS' 1185

NO. OF 4-NODE ELEMENTS' 90

TOTAL NO. OF ELEMENTS' 1322

.MAXCON, MAXSUB. ILMAX' 181

KSIZE. IC3= 137 2833

TANY: LMAP,LAST,F= 4292

IC1, IC2. IC3= 612419 26477

INV BLOCK SIZE, TOTAL SIZE'

MAX. AVERAGE JOINT CONNECTIVITY'

STOP TAN 16.039 94

DATE/TIME' 8510O8 1801O7

20OO 62

8992 .678

2833

7168 1132544

62, 39.8

156 12

P 1

21

PXOT EKS

EKS 211 DATA SPACE' 160OO, DATE/TIME' 8510O8 180126

E21

E43

E33

COMPLETED

COMPLETED

COMPLETED

STOP EKS 69.364 30 35

OXOT K

SPDP= 2

CORE= 3OOOO

CM CHANGED TO

K 21 i

STOP K

30OOO

DATA SPACE'

82.858

3OOOO, DATE/TIME' 8510O8 180605

55 1349 5 £

B-99

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

PXOT E4

NMOD =

NREO=

E4 211

20

15

DATA SPACE= 12OOO. DATE/TIME= 8510O8 18O710

SHIFT 1, C=

CM CHANGED TO

.0000000

35OOO

NO. OF SINGULARITIES= O

NO. OF NEGATIVE DIAG. TERMS= O

CM CHANGED TO 140OOO

CONV: 4 1 1 .46396451+07

CONV: 4 22 .67877898+07

SHIFT 2. C=

CM CHANGED TO

.1233815+08

3O629

NO. OF SINGULARITIES?

NO. OF NEGATIVE DIAG. TERMS'

O

3

CM CHANGED TO

CONV: 6 1

CONV: 6 2

CONV: 6 3

CONV: 6 4

CONV: 8 1

CONV: 8 2

CONV: 10 1

CONV: 10 4

CONV: 12

CONV: 14

CONV: 16

CONV: 18

CONV: 2O

CONV: 22

CONV: 24 1

14OOOO

3 .11258535+08

4 .13957347+08

5 .18679277+08

6 .36078368+08

7 .48622751+08

8 .60418840+08

9 .72960656+08

10 . 1 1431131+09

11 .90613981+08

12 .10460507+09

13 .13639630+09

14 .14205290+09

15 .15516206+09

16 .16053853+09

17 .18082719+09

SHIFT 3, C=

CM CHANGED TO

.1984349+09

30629

NO. OF SINGULARITIES'

NO. OF NEGATIVE DIAG. TERMS=

0

18

CM CHANGED TO

** NMODES TOO SMALL

»* NMODES TOO SMALL

** NMODES TOO SMALL

** NMODES TOO SMALL

CONV: 26 1 18

CONV: 26 2 19

CONV: 26 3 20

1400OO

FOR CONVERGED ROOT TO BE STORED: 4 .22285587+09

FOR CONVERGED ROOT TO BE STORED: 5 .22779943+09

FOR CONVERGED ROOT TO BE STORED: 6 .23885O36+O9

FOR CONVERGED ROOT TO BE STORED: 7 .256529OO+09

.1884O222+09

.21348396+09

.21868624+09

EIGENVALUE APPROXIMATION STATUS. LAST WORKING SET:

ITERATION= 26 ITERATION= 25 CONVERGED

1 .18840222+09

2 .21348396+09

3 .21868624+09

.18840222+09 YES

.21348396+09 YES

.21868624+09 YES

B-100

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

4 .22285587+09 .22285587+09 NO

5 .22779943+09 .22779943+09 NO

6 .23885036+09 .23885041+09 NO

7 .25652900+09 .25652924+09 NO

8 .27720319+09 .27720424+09 NO

9 .29863986+09 .29866452+09 NO

10 .3O787816+O9 .30843207+09 NO

11 .31389218+69 .31403715+09 NO

12 .34670257+09 . .3477010O+O9 NO

13 .35928O47+O9 .36510712+09 NO

14 .39767O76+O9 .40229721+09 NO

15 .42395186+09 .46496490+09 NO

16 .47659819+09 .10268169+10 NO

B-101

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

MODE

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

EIGENVALUE

.46396451+07

.67877898-1-07

. 11258535+08

. 13957347+08

. 18679277+08

. 36078368+08

.48622751+08

.6O41884O+O8

.72960656+08

.90613981+08

. 10460507+09

. 1 1431131+09

. 13639630+09

. 1420529O+09

. 15516206+09

. 16053853+09

. 18O82719+09

. 18840222+09

.21348396+09

.21868624+09

FREO (HZ)

342.817146

414.652554

534.024399

594.595459

687 . 8602O7

955.968529

1 109.787720

1237. 1O4385

1359.454010

1515.017868

1627.783081

17O1 .628510

1858.751968

1896.903336

1982.498718

2016.55371 1

2140. 188477

2184.555878

2325.427338

2353.590393

18 = NO. OF EIGENVALUES BELOW LAST SHIFT POINT.

B-102

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

XI*M»Xd ACCURACY TEST:

AVERAGE ERROR* .56069654-08

MAXIMUM ERROR= .745O5806-O7. I.J = 5 5

TOTAL NUMBER OF QUALIFYING ERROR TERMS" 0

LOWEST QUALIFYING MODE= 0

CM CHANGED TO 120OO

STOP E4 4807.427 2161 2253O 26 41

»XQT DCU

DCU 211 ., DATA SPACE= 20OOO. DATE/TIME" 851008 214637

B-103

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

TABLE OF CONTENTS, LIBRARY 1

HPOTP TEST ARTICLE

SEO

1

2

3

4

5

6

7

8

9

10

1.1

12

13

14

15

16

17

18

19

2O

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

STOP

RR

17

-18

-42

43

67

91

92

95

167

191

193

217

219

227

318

532

564

565

566

567

631

632

634

635

1307

1308

13O9

1310

1311

1312

1313

1315

1564

3004

13669

13812

14708

15732

15733

16413

16414

24254

27114

29974

29975

DCU

DATE

851O08

851OO8

851OO8

851O08

851O08

8510O8

851OO8

8510O8

851O08

851008

851O08

851008

8510O8

8510O8

851008

8510O8

851O08

851008

851OO8

8510O8

851OO8

8510O8

8510O8

8510O8

851OO8

851008

8510O8

851008

8510O8

8510O8

851008

8510O8

851OO8

851O08

851008

851O08

851OO8

851O08

851008

851O08

851O08

851O08

851OO8

851008

851OO8

TIME

18OO22

18O022

18O022

18O022

18OO22

18O022

18O022

180022

18OO22

18OO22

18O022

18OO22

18O022

18O022

18OO22

18O041

18O041

180041

18O041

18O041

18O041

18OO41

18O041

18O041

18O041

180041

18O041

180041

18O041

18O041

18O041

18O126

180126

180126

180054

18O107

1801O7

180107

180107

18O1O7

1806O5

180710

1807 1O

18071O

180710

E

R

0

0

0

0

0

0

0

0

O

O

O

O

0

0

0

0

0

0

0

0

0

0

0

0

O

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

O

0

48O7 . 503

T DATA SET

WORDS

18

665

12

665

665

18

72

1995

665

40

665

40

210

2537

5985

846

2

15

20

1440

4

30

20

17775

2

15

20

3

3

3

45

6580

40320

298620

3990

25088

28672

9

18960

8

109760

798OO

798OO

20

13

3

NJ

1

665

1

1

1

1

6

665

665

4

665 ;

8:

6

59

665

49

1

1

1

56

2

2

1

59

1

1

1

3

3

3

3

47

90

1185

665

665

1

9

10

8

665

665

665

1

1

9

NI*NJ

18

665

12

665

665

18

72

1995

665

4O

665

40

210

2537

5985

882

2

15

20

896

4

30

2O

885

2

15

20

3

3

3

45

140

448

252

399O

1792

1792

9

1200

8

2240

3990

3990

20

13

Y N1

0 JDF1

0 JREF

-1 ALTR

0 JSEO

0 SEO

4 NDAL

-1 ALTR

-1 JLOC

0 JREF

-1 MATC

O CON

-1 MREF

-1 BA

-1 SA

-1 OJJT

0 DEF

0 GD

4 GTIT

0 DIR

0 DEF

0 GD

4 GTIT

0 DIR

0 DEF

0 GD

4 GTIT

O DIR

4 ELTS

0 ELTS

0 ELTS

0 NS

4 E21

4 E43

4 E33

-1 DEM

0 KMAP

0 TAN

0 TAN .

0 TAN

0 TAN

2 K

-1 VIBR

-1 VIBR

-1 VIBR

0 VIBR

2

N2

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

BTAB

E21

E21

E21

E21

E43

E43

E43

E43

E33

E33

E33

E33

NAME

NNOD

ISCT

EFIL

EFIL

EFIL

DIAG

TOPO

IMAP

STAT

TBCT

PBCT

SPAR

MODE

MMOD

EVAL

STAT

7

NAME

N3

1

2

2

2

2

O

2

2

2

2

1

2

. 2

2

2

1

1

1

1

11

11

1 1

1 1

8

8

8

8

0

0

0

0

1

11

8

0

2833

0

0

O

0

36

1

1

1

1

N4

8

6

4

17

170

O

4

5

6

2

O

7

9

13

19

2

2

2

. 2

4

4

. .4

4

3

3

3

3

0

0

0

0

2

4

3

0

137

0

0

0

0

0

1

1

1

' 1

PFIN

B-104

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

RUNID: LOXPMP ACCT: 6EP55345OO32 PROJECT: MFOLEVBIN202

LOXPMP FIN

TIME: TOTAL: O2:05:30.390 CBSUPS: 9445837578

CPU: O1:20:O7.5O4 I/O: OO:44:11.606

CC/ERr OO:01:11.279 WAIT: OO:OO:CO.OOO

IMAGES READ: 23O6 PAGES: 117

START: 18:OO:O6 OCT 08.1985 FIN: 21:46:39 OCT 08,1985

********************************************************************************

*.*****«»****************ATTENTION ALL USERS************************************

********************************************************************************

****************** TENTATIVE SPERRY HOLIDAY SHUTDOWN ***************************

* FROM 16OO HRS ON SAT OCT 12 UNTIL O7OO TUES OCT 15. ANY QUESTIONS OR *

* PROBLEMS WITH THIS SCHEDULE, PLEASE CONTACT DENNIS CLEM AT 453-4974 *

********************************************************************************

********************************************************************************

** FOR USER PROBLEM ON THE SPERRY 11OO SYSTEM CALL SPERRY PERSONNEL AT 3-3762 *•

********************************************************************************

********************************************************************************

B-105

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

Appendix C

CRAIG-BAMPTON PROCEDURE LISTING

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

SDELETE CBUTIL.L*;»

SEAL

'CBUTIL.

LIB 18'[WELCH]EALUTIL.L18

LIB 20'CBUTIL.L18

*XQT Ul

*(20 CB JCL 0 0) ENDJCL

#

# DEFAULT REGISTERS:

!LUTL=18 # MAIN UTILITY LIBRARY

!LPLA=17 # INDIRECT LIBRARY FOR (PLA LIB)

!OPT=0

*DATA,OPT(JCL OPTIONS)

*IL 28 = "LUTL" CB LIB

*IL "LPLA"= "LUTL" PLA LIB

# ENDJCL

*(29 CB SYS 0 0) ENDSYS

#

# THIS PROCEDURE DIRECTS THE CONRTRUCTIQN OF SYSTEM MASS AND

# STIFFNESS MATRICES FOR ASSEMBLAGES OF SUBSTRUCTURES PLUS

# SYSTEM JOINT DEFINITION DEFINED VIA TAB.

#

# FORM THE BASIC SUBSTRUCTURE LIBLIB DATA SETS:

*LIBS 2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

*CALL(CB SUBS 1)

*LIBS 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

#

# INPUT THE SYSTEM TAB DATA:

*XQT Ul

!OPT=0

*DLIB=20

#

# DEFAULT REGISTERS:

*RGI

ASSM= 1# =1, SYSTEM MATRICES ARE ASSEMBLED THIS EXECUTION

# =0, SUBSTRUCTURE MATRICES ARE FORMED, BUT SYSTEM

# MATRICES ARE NOT ASSEMBLED.

STRP= 1# =1, SYSTEM EIGENVALUE ANALYSIS PERFORMED

# =0, SKIP REMAINDER OF PROCEDURE

SSBT= 1# =1, SUBSTRUCTURE BACK SUBSTITUTION PERFORMED

# =0, SKIP REMAINDER OF PROCEDURE

VPRT= 1# =1, SUBSTRUCTURE EIGENVECTOR PRINTOUT PERFORMED

# =0, SKIP REMAINDER OF PROCEDURE

#

*DATA,OPT(29 SYS DATA)

!TAB=TOC,IERR(20 TAB MASK MASK MASK).

# JNZ(TAB,1000)

*XQT TAB

*DATA(TAB)

# LABEL 1000

*DLIB=29

#

# JZ(ASSM,2000)

# ASSEMBLE THE SYSTEM MASS AND STIFFNESS MATRICES IN

C-l

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

# LABELED ELEMENT FORMAT:

#

*XQT AUS

*DATA,OPT(29 RELC OPTIONS)

*CALL(CB ASSE)

» .

# JZ(STRP,2000)

# SUBSTRUCTURE EIGENSOLVER

#

*CALL(CB STRP)

# JZ(SSBT,2000)

# SUBSTRUCTURE BACK SUBSTITUTION

#

*CALL(CB SSBT)

# JZ(VPRT,2000)

# SUBSTRUCTURE EIGENVECTOR PRINTOUT

#

*CALL(CB VPRT)

# .. LABEL 2000

# RETURN

# ENDSYS

*(29 CB SUBS 10) ENDSUBS

# • • ..

# THIS PROCEDURE FORMS THE BASIC LIBLIB LIBRARY FOR SUBSTRUCTURES

# DEFINED VIA (SSID DATA 1) DATA SETS IN LIB 29.

#

*XQT Ul

*REGISTER EXCEPTIONS LPLA

*REGISTER STORE(29 REGI HOUSE 11)

*FREE 9

*DLIB=20

!ISEQ=0: !SYS='SYS

# LABEL 1000

!SSID=TOC,N1(29 MASK DATA 1 MASK),ISEQ

*•••• • JLZ(ISEQ, 2000)

!TEST=EQUAL(SSID,SYS)# =0, FOR NO EQUALITY

# JNZ(TEST,1000)

*XQTC Ul

*FREE 1,20

!OPT=0

!E4='E4

LEIG='EIG

!YES='YES

!TWO=2

#

# DEFAULT REGISTERS:

*RGI

G= l.# ACCELERATION OF GRAVITY

SEQ= 1# NON-ZERO VALUE SEQ IS EXECUTED FRO "SSID"

MNAM= DEM

MWARP= .05* E RESET

KFAC= 1# K RESET

SPDP= 1# K RESET

# SPDP= 2# DOUBLE PRECISION

C-2

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

JNZ(TEST,1100)

LABEL 1100

JZ(TEST,1200)

LABEL 1200

NMCB=0

VPRT=NO

NEWS=1

CONR=1

*DATA(29 "SSID" DATA 1)

#

!BLANK='

!TNAM='DEM

!TEST=EQUAL(MNAM,TNAM): !CEM=0

*

!CEM=1# CONRISTENT MASS MATRIX

*

!E4CB="EIG"

!TEST=EQUAL(SPDP,TWO)

!E4CB="E4"

*

*XQT AUS

TABLE(NI=1,NJ=1): "SSID" CB '

*XQT TAB

*DATA(TAB)

UPDATE=1: CON="CONR": NONZERO 12345 6

*DATA(BN)

DC FLAG CON "BLANK",*,B

*XQT ELD

*DATA(ELD)

# FORM THE SUBSTRUCTURE K AND M MATRICES:

*CALL("LPLA" SPREP)

!KNAM='K

*CALL("LPLA" FACTOR)

* JZ(NMCB,1800)

# SUBSTRUCTURE EIGENVALUE ANALYSIS FOR CRAIG-BAMPTON METHOD.

!TEST=EQUAL(E4CB,EIG)

* JZ(TEST,1400)

*XQT Ul

*REGISTER EXCEPTIONS OPT, MNAM, KNAM, CONR, NEWS, NMCB

*REGISTER STORE(29 REGI CB 1 1)

!IZER=0 - " •' --

*RGI

NDYN=8

INIT=0

Ll=0

L2=0

INLI=0

OLDS=1

*DATA,OPT(EIG RESETS)

*XQT EIG

RESET NDYN="NDYN", K="KNAM", M="MNAM",CON="CONR"

RESET NEWSET="NEWS"

!TEST=EQUAL(INLIB,IZER)

C-3

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
ORIGINAL PAGE IS LMSe=HEC f R F042&6JJ

OF POOR QUALPTY

* JZ(fEST;ia66)

RESET INIT^NMOB"

* JUMP 1700

* LABEL 1300

RESET INIf=^INirS Lis"Li"i li2="L2" t INLIBsi'lNLl"

RESET OLDSETs«OLDS"

* JUMP 1766

* LABEL i466

*XQT Ul

*REGISTJER EXCEPTIONS OPT; _MNAMj KNAM, CONR; NEWS, NMGB

*REGISTER STORE (29 REGI OB 1 i)

*RGI

=1

*DATA1OPT(E4 RESETS)

*XQf 14

RESET K="KNAMH » M=HMNAMl jeONsiiGONR'SNaOUT sHNEWS"

RESET NMODESs"NMGB"; NREQ^^NREQ" t SHIPT=HSHIF«

* ' . LABEL 1700

*XQT Ul ____ _

*REGISTER RETRIEVE (29 REGI GB 1 1 )

*XQT AUS

DEFINE X^VIBR MODE

 UNEWSH "GONR"

FEF "SSID" "HEWS"

 H GONRS i=N6RM(X)

#

! f EST=EQUAL ( VPRT * YES )

* JZ( TEST* 1800)

*XQT VPRT

FORMAT=4

'DATA^ OPT (VPRT OPTIONSi

PRINT VIBR MODE "NEWS" "GONR"

* LABEL i860

*XQTG AUS

*DATA; OPT (AUS OPflONS|

SSIDs'^SID1* = SSPREPr'KNAM'S "fiONR" )

§SK( ^KNAM" ) : ssM( "MNAM;; }

TABLE ( NI = i -, NJ=1 ): "SSlD" END §§9 999:

#'__• '

*XQT DGU

!MSEQ=6: !NSEQ=0

!DUM=f6G*Ni(i FEF "SSlB" "NEW§" "GONR

-*-• • -:_ JGZ(MSEQ;l966)

!MSEQ=6

iDUM=T6c*Ni(i BN "SSIB" 6 6),MSEQ

* ___ LABEL 1900

iDUM=T6G;Ni(l "SSID" END 999 999)>NSEQ

COPY 1 i 9 i _

COPY 1,9 "MSEQS "NSEQ"

LIBLIB=3: STORE 1 LIB "SSID" 1 i

*

* LABEL 2666

*XQTC Ul

*DLIB=29

*REGISTER RETRIEVE (29 REGI HOUSE i i)

C=4

LOGKHEED=HUhffSVI-LLE ENGINEERING CENTER
LMSC-HEC TR F042668

*FREE 1,20

* RETURN

* ENDSUBS

*(29 CB ASSE 00) ENDASSE

#

* THIS PROCEDURE IS DRIVEN BY THE DATA SETS RESIDING IN LIBRARY 10.

* SUBSTRUCTURE M AND K MATRICES RESIDING IN LIB 9 ARE ASSEMBLED BY

* SYN INTO SYSTEM M AND K MATRICES ON LIB 1.

#

*XQTC Ul

*REGISTER EXCEPTIONS

'REGISTER STORE( 29 REGI HOUSE 1 1)

#

!OPT=0

*RGI

CON=1

TOLM=1.E-30

TOLK=1.E-30 i

TOLR=l.E-5

*DATA,OPT(29 SYN RESETS)

*XQT SYN

RESET LIBA=10, CON="CON", TOLM^'TOLM", TOLK="TOLK"

RESET TOLR="TOLR"

!ISEQ=Q

* LABEL 1000

!SSID=TOC,N2(10 SJC MASK MASK MASK),ISEQ: !JSEQ=ISEQ-1

* JLZ(ISEQ,2000)

!NREF=TOC,N3(10 SJC "SSID" MASK MASK),JSEQ

#

* SUBSTRUCTURE DEFINED BY SSID AND NREF.

#

"SSID" 9 "NREF"

*DATA(10 SJC "SSID" "NREF" MASK)

* JUMP 1000

* LABEL 2000

*XQT Ul

*REGISTER RETRIEVE(29 REGI HOUSE 11)

. * RETURN

* ENDASSE

*(29 CB STRP 0 0) ENDSTRP

#

* SYSTEM EIGENVALUE ANALYSIS

#

*XQTC Ul

•REGISTER EXCEPTIONS

•REGISTER STORE( 29 REGI HOUSE 1 1)

#

!OPT=0

*RGI

FRQ1=-1.E+10

FRQ2=1.E+10

PRT=0

*DATA,OPT(29 STRP RESETS)

*XQT STRP

C-5

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F04266U

RESET FRQ1="FRQ1", FRQ2="FRQ2", PRT="PRT"

*XQT U3 .

RP2

!TWOP=ATAN(1.): !TWOP=8.*TWOP

!NMAX=TOC,NI(1 SYS EVAL MASK MASK)

NUMBER OF FORMATS=3

#

FORMAT 1'(33H1MODE EIGENVALUE PREQ (HZ))

FORMAT 2'(1H )

FORMAT 3'(1X,I4,1X,E15.8,1X,F13.6)

#

PRINT(l)

PRINT(2)

!MODE=1

# LABEL 1000

!VAL=DS,"MODE",1,1(1 SYS EVAL 00)

!HZ=VAL**.5/TWOP

#

PRINT(3) "MODE", "VAL", "HZ"

!MODE=MODE+1

# JG2,-MNMAX,1000)

PRINT(2)

#

*XQT Ul

*REGISTER RETRIEVE(29 REGI HOUSE 11)

# RETURN

# ENDSTRP

*(29 CB SSBT 00) ENDSSBT

#

# THIS PROCEDURE BACK TRANSFORMS FROM SYSTEM EIGENVECTORS

# (LABELED ELEMENT FORMAT) TO SUBSTRUCTURE EIGENVECTORS

# (SYSVEC FORMAT) EACH SUBSTRUCTURE FOR WHICH A DATA SET

# NAMED (SJC "SSID" "NREF") RESIDES IN LIB 10 IS PROCESSED.

#

*XQTC Ul

•REGISTER EXCEPTIONS

*REGISTER STORE(29 REGI HOUSE 11)

#

# DEFAULT REGISTERS:

!OPT=0

!ISEQ=0

!NMAX=TOC,NI(1 SYS EVAL MASK MASK),ISEQ

!NM2="NMAX"

*RGI

NM1= 1 # MODE START NUMBER

# NM2= NMAX # MODE STOP NUMBER

*DATA,OPT(SSBT OPTIONS)

!NM1=ABS(NM1)

!NM2=ABS(NM2)

!NTMP=NMAX-NM2

# JG2(NTMP(100)

!NM2=NMAX

' LABEL 100

!NTMP=NM2-NM1

C-6

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042663

» . JGZ(NTMP,200)

!NM1=NM2

* LABEL 200

*XQT AUS

DEFINE VAL=SYS EVAL 0 0 "NM1","NM2"

10 VIBR EVAL 0 0=UNION(VAL)

10 VIBR PREQ 0 0= SQRT(.0253303 VAL)

*XQT SSBT

MODES="NM1","NM2"

!ISEQ=0

* LABEL 1000

!SSID=TOC,N2(10 SJC MASK MASK MASK),ISEQ: !JSEQ=ISEQ-1

* JLZ(ISEQ,2000)

!NREF=TOC,N3{10 SJC "SSID" MASK MASK),JSEQ

#

* SUBSTRUCTURE DEFINED VIA SSID AND NREF:

#

"SSID" 9 10 "NREF" 10

* JUMP 1000

* LABEL 2000

*XQT Ul

'REGISTER RETRIEVE(29 REGI HOUSE 11)

* RETURN

* ENDSSBT

*(29 CB VPRT 00) ENDVPRT

#

* THIS PROCEDURE SIMULATES VPRT PRINTOUT FOR EACH SUBSTRUCTURE

* FOR WHICH A DATA SET NAMED (VPRT "SSID" "NREF") RESIDES IN

* LIB 10.

#

*XQT Ul

'REGISTER EXCEPTIONS

'REGISTER STORE(29 REGI HOUSE 1 1)

*LIBS 2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

#

* DEFAULT REGISTERS:

!OPT=0

*RGI

CONR= 1 # CONSTRAINT CONDITION

*DATA,OPT(VPRT PARAMETERS)

!BLANK='

!IFMT=1: !ISEQ=0: !CBOL=0

* LABEL 1000

!SSID=TOC,N2(10 VPRT MASK MASK MASK),ISEQ: !JSEQ=ISEQ-1

* JLZ(ISEQ,2000)

!TEST=EQUAL(SSID,CBOL)# =0 FOR NO EQUALITY

* JNZ(TEST,1100)

#

* NEW SUBSTRUCTURE SSID:

#

*XQT DCU

LIBLIB=3: RETRIEVE 1 LIB "SSID" 1 1: !CBOL=SSID

!IERR=TOC,IERR(1 FLAG CON "CONR" 0)

* JZ(IERR,1100)

C-7

LOCKHEED-HUNTSVILLE ENGINEERING CENTER
LMSC-HEC TR F042668

*XQT TAB

UPDATE=1: CON="CONR": DC FLAG CON "BLANK",*,B

* LABEL 1100

!NREF=TOC,N3(10 VPRT "SSID" MASK MASK),JSEQ

9

*XQTC U3

RP2

!NLH=5

NUMBER OF FORMATS=5

FORMAT I1(28H1DISPLACEMENTS, SUBSTRUCTURE 1XA4.7H, NREF= 14)

FORMAT 2'(10H SET=I4,6H, CON=I4,9H, VECTOR=I4)

FORMAT 3'(17H EIGENVALUE= E14.7.9H, FREQ= F12.4,3H HZ)

FORMAT 4'(/6H JOINT,7X1H1,10X1H2,10X1H3,10X1H4,10X1H5,10X1H6)

FORMAT 51 (I6,6(E11.3,A1) )

!NVEC=TOC,NBLOCKS(10 USB "SSID" 0 "NREF"): !IVEC=1

DEFINE F=l FLAG CON "CONR"

* LABEL 1200

DEFINE X=10 USB "SSID" 0 "NREF" "IVEC"

!VAL=DS,"IVEC",1,1(10 VIBR EVAL 00)

!HZ=DS,"IVEC",1,1(10 VIBR FREQ 00)

NLH="NLH": NLH1="NLH"

#

LAYOUT

WRITE(ALL,"IFMT") "SSID", "NREF"

WRITE(ALL,2) "NREF","CONR","IVEC"

WRITE(ALL,3) "VAL","HZ"

WRITE(ALL,4)

WRITE(MAIN,5) J,X(1),F(1),X(2),F(2),X(3),F(3),X(4),F(4),

X(5),F(5),X(6),F(6)

#

PRODUCE REPORT

#

!IVEC=IVEC+1 .

* JGZ,-1(NVEC,1200)

* JUMP 1000

* LABEL 2000

*XQT Ul

*REGISTER RETRIEVE(29 REGI HOUSE 1>1 )

*LIBS 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

* RETURN

*.. ENDVPRT

*XQT DCU

LIBLIB=20

STORE 29 CB LIB 0 0

COPY 18,20 PLA LIB 00

TOC 20

TOG 29

*FREE 29

*XQT EXIT

C-8

LOCKHEED-HUNTSVILLE ENGINEERING CENTER