NASA Contractor Report 178239

0_ _ p

N87-1856.3

J. E. Rogan and M. A. Kolb

Lockheed-Georgia Company

Marietta, Georgia 30063

Contract NAS1

February 1987

- 18068

N/%SA

National Aeronautics and

Space Adm_n,stratton

Langley Research Center

Hampton, Virginia 23665-5225
NASA Contractor Report 178239

Application of Decomposition

Techniques to the Preliminary

Design of a Transport Aircraft

J. E. Rogan and Mo A. Kolb

Lockheed-Georgia Company

Marietta, Georgia 30063

Contract NAS1 - 18068

February 1987

N/LRA

Natbonal Aeronauhcs and

Sl0ace Admmislrahon

Langley Research Center

Hami_=on,Virginia 23665-5225
FOREWORD

Lockheed-Georgia Company recognizes the important role that advanced

decomposition techniques for numerical optimization will play in the design

of future aerospace systems. EKamination of the impact of these techniques

on aircraft preliminary design is highly topical for two reasons. First,

progress in the development of a linear decomposition technique at NASA

Langley has reached the point where a large-scale test of the formulation

is required. Second, continually increasing emphasis on expanding the

performance envelope, integrating more engineering specialties into the

design process, and lowering development and support costs has made the use

of design optimization more critical in the preliminary design phase. This

final contract report contributes to the examination of the impact of

linear decomposition on preliminary design by studying the formulation of a

transport aircraft design problem.

This report is also identified by Lockheed report number LG86ER0092

for Lockheed internal control purposes.

iii

PA_- _ NOT Fli.IRiD
Tab le of Con ten ts

Foreword ................................................... iii

List of Figures .............................................. v

List of Tables .............................................. vi

Summary... o...... •• o....., o..........o ....... o..... • .........I

I° System Engineering in the Aircraft Design Process ......... I

1.1 Models and Decomposition ......................... 2

1.2 Scope of this Work ............................... 4

2. The Design Process Decomposition

for a Transport Aircraft ..................... 6

2.1 Subproblems of t_he Design Process

Dec ompo si t_ion ................................. 7

2.2 Features of the Decomposition .................... 7

3. Impact on Aircraft Design ................................. 9

3.1 Scheduling of Design Tasks ....................... 9

3.2 Configuration Control ............................ 9

3.3 Design Applications of Object-Oriented

Programming ................................. *9

Appendix A. Decomposition Heurisitic s ....................... 1 1

Appendix B. Iteration through the Multifaceted Design

Process Decomposition ............................... 12

Appendix C. Formulation of Nonlinear Programming

Problems An the Multifaceted Decomposition ...... .... 14

References .................................. •............... 15

Tables ...................................................... 18

Figures .............................. ; ..................... 268

iv
I_ st of Figure

I. Part of the Aircraft Subsystem Decomposition .............. 268

2. Part of the Aircraft Functional Decomposition ............. 269

3. Representation of Functional Relationships ................ 270

4. Design Optimization Model ................................. 271

5 (a). Multifaceted Design Process Decomposition ............. 272

5 (b). Multifaceted Design Process Decomposition , (cont.)...273

6. Heuristic for Finding Design Process Levels ............... 274

7. Heuristic for Eliminating Coupling within Levels .......... 275

8. Iteration through the System Hierarchy .................... 276

9. Form o_ the Hultifaceted Decomposition .................... 277

l 0. Subproblem with More than One Predecessor ................ 278

I I. Divergence in the Mul_ifaceted Decomposition ............. 279

12. Proposed Iteration Procedure for the HulCifaceted

Decomposition ........................................ 280

v
L_st of Tables

I. Design Tasks of the _ultifaceted Design Process

Decomposition ......................................... 18

2. Formulation of Subproblem 1-01 as a Nonlinear

Programming Problem ................................... 22

3. Formulation of Subproblem 2-04 as a Nonlinear

Programming Problem ................................... 23

4, Design Relationships _n Subproblem 1-01 .................. 24

5. Subproblem 1-01 Interfaces ............................... 24

6. Design Relationships in Subproblem 2-01 .................. 25

7. Subproblem 2-01 Interfaces ............................... 26

8. Design Relationships _n Subproblem 2-02 .................. 27

9. Subproblem 2-02 Interfaces ............................... 27

• 10. Design Relationships in Subproblem 2-03 .................. 28

11. Subproblem 2-03 Interfaces ............................... 28

12. Design Relationships In Subproblem 2-04 .................. 30

13. Subproblem 2-04-Interfaces ............................... 30

14. Design Relationships In Subproblem 2-05 .................. 31

15. Subproblem 2-05 Interfaces ............................... 31

16. Design Relationships in Subproblem 3-01 .................. 32

17. Subproblem 3-01 Interfaces ............................... 32

18. Design Relationships in Subproblem 3-02 .................. 32

19. SuDproblem 3-02 Interfaces ............................... 33

20, Design Relationships in Subproblem 3-03 .................. 34

21. Subproblem 3-03 Interfaces ............................... 35
List of Tables, (cont.)

22. Design Relationships _n Subproblem 3-04 .................. 35

23. Subproblem 3-04 Interfaces ............................... 36

24. Design Relationships In Subproblem 3-05 .................. 36

25. Subproblem 3-05 Interfaces ............................... 37

26. Design Relationships in Subproblem 3-06 .................. 38

27. Subproblem 3-06 Interfaces ............................... 38

28. Design Relationships In Subproblem 3-07 .................. 39

29. Subproblem 3-07 Interfaces ............................... 40

30. Design Relationships In Subproblem 3-08 .................. 41

31. Subproblem 3-08 Interfaces ............................... 41

32. Design Relationships in Subproblem 3-09 .................. 42

33. Subproblem 3-09 Interfaces ................. , ............. 42

34. Design Relationships In Subproblem 3-10 .................. 43

35. Subproblem 3-10 Interfaces... ............................ 43

36. Design Relationships in Subproblem 3-11 .................. 43

37. Subproblem 3-11 Interfaces ............................... 44

38. Design Relationships in Subproblem 3-12 .................. 44

39. Subproblem 3-12 Interfaces ............................... 45

40. Design Relationships In Subproblem 3-13 .................. 46

41. Subproblem 3-13 Interfaces ............................... 46

42. Design Relationships in Subproblem 3-14 .................. 47

43. Subproblem 3-14 Interfaces ............................... 47

44. Design Relationships in Subproblem 3-I 5 .................. 47

vii
List of Tables, (cont.)

45. Subproblem 3-15 Interfaces ............................... 48

46. Design Relationships In Subproblem 3-16 .................. 48

47. Subproblem 3-16 Interfaces ............................... 48

48. Design Relat.ionshlps In Subproblem 3-17 .................. 50

49. $ubproblem 3-17 Interfaces ............................... 50

50. Design Relationships _ Subproblem 4-01 .................. 51

51. Subproblem 4-01 Interfaces ............................... 51

52. Design Relationships _n Subproblem 4-02 .................. 52

53. Subproblem 4-02 Interfaces ............................... 52

54. Design Relationships in Subproblem 4-03 .................. 53

55. Subproblem 4-03 Interfaces ............................... 53

56. Design Relationships in Subproblem 4-04 .................. 54

57. Subproblem 4-04 Interfaces ............................... 55

58. Design Relationships in Subproblem 4-05 .................. 55

59. Subproblem 4-05 Interfaces ............................... 56

60. Design Relationships In Subproblem 4-06 .................. 57

61. Subproblem 4-06 Interfaces ............................... 57

62. Design Relationships in Subproblem 4-07 .................. 58

63. Subproblem 4-07 Interfaces ............................... 58

64. Design Relationships in Subproblem 4-08 .................. 59

65. Subproblem 4-08 Interfaces ............................... 70

66. Design Relationships in Subproblem 4-09 .................. 75

67. Subproblem 4-09 Interfaces ............................... 75

68. Design Relationships in Subproblem 4-10 .................. 76

viii
I_st of Tables, (cont.)

69. Subproblem 4-10 Interfaces ............................... 77

70, Design Relationships In Subproblem 4-II .................. 78

71. Subproblem 4-II Interfaces ............................... 78

72. Design Relationships in Subproblem 4-12 .................. 79

73. Subproblem 4-12 Interfaces ............................... 80

74. Design Relationships in Subproblem 4-13 .................. 81

75. Subproblem 4-13 Interfaces ............................... 81

76. Design Relationships in Subproblem 4-14 .................. 82

77. Subproblem 4-14 Interfaces ............................... 82

78. De sign Re la tion ship s in Subprob lem 4-15 .................. 83

79. Subproblem 4-15 InUerfaces ............................... 83

80. Design Relationships in Subproblem 4-16 .................. 84

81. Subproblem 4-16 Interfaces ............................... 84

82. Design Relationships in Subproblem 4-17 .................. 84

83. Subproblem 4-17 Interfaces ............................... 85

84. Design Relationships Ln Subproblem 4-18 .................. 85

85. Subproblem 4-18 Interfaces ............................... 86

86. Design Relationships in Subproblem 4-19 .................. 86

87. Subproblem 4-19 Interfaces ............................... 87

88. Design Relationships in Subproblem 4-20 .................. 87

89. Subproblem 4-20 Interfaces ............................... 88

90. Design Relationships in Subproblem 4-21 .................. 88

91. Subproblem 4-21 Interfaces ............................... 88

ix
List of Tables, (cont.)

92. Design Relationships in Subproblem 4-22 .................. 89

93 • Subproblem 4-22 Interfaces .ee.eeoeeeeeeeeeeeeeeeeeeeeeeee 89

94. Design Relationships in Subproblem 4-23 .................. 90

95. Subproblem 4-23 Interfaces .................. ............. 90

96. Design Relationships in Subproblem 5-01 .................. 90

97. Subproblem 5-01 Interfaces ............................... 91

98. Design Relationships in Subproblem 5-02 .................. 93

99. Subproblem 5-02 Interfaces ............................... 93

I 00. Design Relationships in Subproblem 5-03 .................. 94

101. Subproblem 5-03 Interfaces ................. , ............. 94

102. Design Relationships _n Subproblem 5-04 .................. 95

103. Subproblem 5-04 Interfaces ........... . ................... 95

1 04. Design Relationships in Subproblem 5-05 .................. 95

105. Subproblem 5-05 Interfaces ............................... 95

106. Design Relationships _n Subproblem 5-06 .................. 96

107. Subproblem 5-06 Interfaces ............................... 97

108. Design Relationships in Subproblem 5-07 .................. 97

109. Subproblem 5-07 Interfaces ............................... 97

1 I0. Design Relationships in Subproblem 5-08 .................. 97

1 I I. Subproblem 5-08 Interfaces ............................... 98

112. Design Relationships In Subproblem 5-09 .................. 98

113. Subproblem 5-09 Interfaces ............................... 99

114. Design Relationships in Subproblem 5-10 .................. 99

115. Subproblem 5-10 Interfaces ............................... 99

x
List of Tables, (cont.)

116. Design Relationships in Subproblem 5-11 ................. 100

117. Subproblem 5-11 Interfaces .............................. 100

118. Design Relationships In Subproblem 5-12 ................. 100

119. Subproblem 5-12 Interfaces .............................. 101

120. Design Relationships in Subproblem 5-13 ................. 101

121. Subproblem 5-13 Interfaces .............................. 102

122. Design Relationships zn Subproblem 5-14 ................. 102

123. Subproblem 5-14 Interfaces .............................. 134

124. Design Relationships in Subproblem 5-15 ................. 150

125. Subproblem 5-15 Interfaces .............................. 151

126. Design Relationships in Subproblem 5-16 ................. 151

127. Subproblem 5-16 Interfaces .............................. 151

128. Design Relationships zn Subproblem 5-17 ................. 152

129. Subproblem 5-17 Interfaces .............................. 154

I 30. Design Relationships In Subproblem 5-18 ................. 1 57

131. Subproblem 5-18 Interfaces .............................. 158

132. Design Relationships In Subproblem 5-19 ................. 158

133. Subproblem 5-19 Interfaces .............................. 158

1 34. Design Relationships In Subproblem 6-01 ................. 1 59

135. Subproblem 6-01 Interfaces .............................. 159

136. Design Relationships In Subproblem 6-02 ................. 160

137. Subproblem 6-02 Interfaces .............................. 160

I 38. Design Relationships in Subproblem 6 -03 ................. 160

xi
_st of Tables, (cont.)

139. Subproblem 6-03 Interfaces .............................. 161

140. Design Relationships in Subproblem 6-04 ................. 161

141. 8ubproblem 6-04 Interfaces .............................. 161

142. Design Relationships in Subproblem 6-05 ................. 162

143. Subproblem 6-05 Interfaces .............................. 162

144. Design Relationships _n Subproblem 6-06 ................. 163

145. Subproblem 6-06 Interfaces .............................. 197

146. Design Relationships Ln Subproblem 6-07 ................. 209

147. Subproblem 6-07 Interfaces .............................. 210

148. Design Relationships In Subproblem 6-08 ................. 210

149. Subproblem 6-08 Interfaces .............................. 211

1 50. Design Relationships in Subproblem 6-09 ................. 211

151. SuDproblem 6-09 Interfaces .............................. 214

152. Design Relationships In Subproblem 6-10 ................. 217

153. Subproblem 6-10 Interfaces .............................. 218

154. Design Relationships %n Subproblem 6-11 ................. 218

155. Subproblem 6-11 Interfaces .............................. 222

156. Design Relationships in Subproblem 6-12 ................. 224

157. Subproblem 6-12 Lnterfaces .............................. 224

158. Design Relationships in Subproblem 6-13 ................. 225

159. Subproblem 6-13 Interfaces .............................. 225

160. Design Relationships in Subproblem 6-14 ................. 226

161. Subproblem 6-14 Interfaces .............................. 226

162. Design Relationships in Subproblem 6-15 ................. 227

xii
List of Tables, (cont.)

163. Subproblem6-15 Interfaces .............................. 227

164. Design Relationships in Subproblem 6-16 ................. 228

165. Subproblem 6-16 Interfaces .............................. 229

166. Design Relationships zn Subproblem 6-17 ................. 230

167. Subproblem 6-17 Interfaces .............................. 230

168. Design Relationships in Subproblem 6-18 ................. 230

169. Subproblem 6-18 Interfaces .............................. 231

170. Design Relationships in Subproblem 6-19 ................. 231

171. Subproblem 6-19 Interfaces .............................. 231

172. Design Relationships in Subproblem 6-20 ................. 232

173. Subproblem 6-20 Interfaces .............................. 232

174. Design Relationships zn Subproblem 6-21 ................. 233

175. Subproblem 6-21 Interfaces .............................. 234

176. Design Relationships Ln Subproblem 6-22 ................. 234

177. Subproblem 6-22 Interfaces .............................. 234

178. Design Relationships In Subproblem 6-23 ................. 235

179. Subproblem 6-23 Interfaces .............................. 235

1 80. Design Relationships in Subproblem 6-24 ................. 235

181. Subproblem 6-24 Interfaces .............................. 235

182. Design Relationships in Subproblem 7-01 ................. 236

183. Subproblem 7-01 Interfaces .............................. 236

184. Design Relationships in Subproblem 7-02 ................. 236

185. Subproblem 7-02 Interfaces .............................. 237

xiii
List of Tables, (cont.)

186. Design Relationships %n Subproblem 7-03 ................. 237

187. Subproblem 7-03 Interfaces .............................. 237

188. Design Relationships in Subproblem 7-04 ................. 237

189. Subproblem 7-04 Interfaces .............................. 238

1 90. Design Relationships in Subproblem 7-05 ................. 238

191. Subproblem 7-05 Interfaces .............................. 238

1 92. Design Relationships zn Subproblem 7-06 ................. 238

193. Subproblem 7-06 Interfaces. ............................. 239

194. Design Relationships in Subproblem 7-07 ................. 239

195. Subproblem 7-07 Interfaces .............................. 239

196. Design Relationships in Subproblem 7-08 ................. 239

1 97. Subproblem 7-08 Interfaces .............................. 240

198. Design Relationships in Subproblem 7-09 ................. 240

199. SuDproblem 7-09 Interfaces .............................. 240

200. Design Relationships in Subproblem 7-10 ................. 240

201. Subproblem 7-10 Interfaces .............................. 241

202. Design Relationships in Subproblem 7-I I ................. 241

203. Subproblem 7-11 Interfaces .............................. 241

204. Design Relationships in Subproblem 7-I 2 ................. 241

205. Subproblem 7-12 Interfaces .............................. 242

206. Design Relationships in Subproblem 7-13 ................. 242

207. SuDproblem 7-13 Interfaces ............................... 242

xiv
List of Tables, (cont.)

208. Design Relationships in Subproblem 7-14 ................. 242

209. Subproblem 7-14 Interfaces .............................. 243

210. Design Relationships in Subproblem 7-15 ................. 243

211. Subproblem 7-15 Interfaces .............................. 243

212. Design Relationships zn Subproblem 7-16 ................. 243

213. Subproblem 7-16 Interfaces .............................. 244

214. Design Relationships _n Subproblem 7-17 ................. 244

215. Subproblem 7-17 Interfaces .............. _ ............... 244

216. Design Relationships in Subproblem 7-18 ................. 244

217. Subproblem 7-18 Interfaces .............................. 245

218. Design Relationships in Subproblem 7-19 ................. 245

219. Subproblem 7-19 Interfaces .............................. 245

220. Design Relationships In Subproblem 7-20 ................. 245

221. Subproblem 7-20 Interfaces .............................. 246

222. Design Relationships zn Subproblem 7-21 ................. 246

223. SuDproblem 7-21 Interfaces .............................. 246

224. Design Relationships in Subproblem 7-22 ................. 246

225. Subproblem 7-22 Interfaces ............................... 247

226. Design Relationships in Subproblem 7-23 ................. 247

227. Subproblem 7-23 Interfaces .............................. 247

228. Design Relationships in Subproblem 7-24 ................. 247

229. Subproblem 7-24 Interfaces .............................. 248

230. Design Relationships in Subproblem 7-25 ................. 248

231. Subproblem 7-25 Interfaces .............................. 248

xv
List of Tables, (cont.)

232. Design Relationships in Subproblem 7-26 ................. 248

233. Subproblem 7-26 Interfaces .............. . ............... 249

234. Design Relationships in Sublmoblem 7-27 ................. 249

235. Subproblem 7-27 Interfaces .............................. 249

236. Design Relationships In Subproblem 7-28 ................. 249

237. Subproblem 7-28 Interfaces .............................. 250

238. Design Relationships in Subproblem 7-29 ................. 250

239. Subproblem 7-29 Interfaces .............................. 250

240. Design Relationships in Subproblem 7-30 ................. 250

241. Subproblem 7-30 Interfaces .............................. 251

242. Design Relationships in Subproblem 7-31 ................. 251

243. Subproblem 7-31 Interfaces .............................. 251

244. Design Relationships in Subproblem 7-32 ....... .......... 251

245. Subproblem 7-32 Interfaces .............................. 252

246. Design "Relationships in Subproblem 7-33 ................. 252

247. Subproblem 7-33 Interfaces .............................. 252

248. Design Relationships in Subproblem 7-34 ................. 252

249. Subproblem 7-34 Interfaces .............................. 253

250. Design Relationships in Subproblem 7-35 ................. 253

251. Subproblem 7-35 Interfaces .............................. 253

252. Design Relationships in Subproblem 7-36 ................. 253

253. Subproblem 7-36 Interfaces .............................. 254

254. Design Relationships in Subproblem 7-37 ................. 254

255. Subproblem 7-37 Interfaces .............................. 254

xvi
List of Tables, (cont.)

256. Design RelaTionships in Subproblem 7-38 ................. 254

257. Subproblem 7-38 Interfaces .............................. 255

258. Design RelaTionships In Subproblem 7-39 ................. 255

259. Subproblem 7-39 Interfaces .............................. 255

260. Design RelaTionships in Subproblem 7-40 ................. 256

261. Subproblem 7-40 Interfaces .............................. 256

262. Design Relationships in Subproblem 7-41 ................. 257

263. Subproblem 7-41 Interfaces .............................. 257

264. Design RelaTionships in Subproblem 7-42 ................. 257

265. Subproblem 7-42 Interfaces .............................. 258

266. Design Relationships xn Subproblem 7-43 ................. 258

267. Subproblem 7-43 Interfaces .............................. 258

268. Design RelaTionships in Subproblem 7-44 ................. 259

269. Subproblem 7-44 Interfaces .............................. 259

270. Design RelaTionships in Subproblem 7-45 ................. 260

271. Subproblem 7-45 Interfaces .............................. 260

272. Design Relationships In Subproblem 7-46 ................. 260

273. Subproblem 7-46 Interfaces .............................. 261

274. Design Relationships In Subproblem 7-47 ................. 261

275. Subproblem 7-47 Interfaces .............................. 261

276. Design RelaTionships in Subproblem 7-48 ................. 262

277. Subproblem 7-48 Interfaces .............................. 262

278. Design Relationships in Subproblem 7-49 ................ .263

xvii
List of Tables, (cont.)

279. Subproblem 7-49 Interfaces .............................. 263

280. Design Relationships zn Subproblem 7-50 ................. 263

281. Subproblem 7-50 Interfaces .............................. 264

282. Design Relationships zn Subproblem 7-51 ................. 264

283. Subproblem 7-51 Interfaces .............................. 264

284. Design Relationships in Subproblem 7-52 ................. 265

285. Subproblem 7-52 Interfaces .............................. 265

286. Design Relationships in Subproblem 7-53 ................. 266

287. Subproblem 7-53 Interfaces .............................. 266

288. Design Relationships in Subproblem 7-54 ................. 266

289. Subproblem 7-54 Interfaces .............................. 266

290. Design Relationships in Subproblem 7-55 ................. 267

291. Subproblem 7-55 Interfaces .............................. 267

xviii
Summary

A nonlinear constrained optimization problem describing the

preliminary design process for a transport aircraft has been formulated. A

multifaceted decomposition of the optimization problem has been made.

Flight dynamics, flexible aircraft loads and deformations, and preliminary

structural design subproblems appear prominently in the decomposition. The

use of design process decomposition for scheduling design projects, a new

system integration approach to configuration control, and the application

of object-centered programming to a new generation of design tools are

discussed.

I. System Engineering in the Aircraft Design Process

Decomposition is a fundamental problem-solving technique of system

engineering. The system hierarchy and functional decomposition are used in

system definition and mission requirements analysis, requirements flowdown

and allocation, and in the planning of system integration, interface

management and trade studies (ref. I). The system hierarchy and

functional decompositions are arranged in levels. At each level, there is

a correspondence between the subsystems appearing on the system hierarchy

and the functional units appearing in the functional decompostion. The

interfaces between the subsystems are defined by the functional

decomposition.

At the lowest level of the system hierarchy, these interfaces are

used to generate specifications for the functional units which make up the

system. The functional units at the lowest level of the system hierarchy

cannot be decomposed any further without forcing the designer to adopt a

particular design solution. The components that make up system elements at

the lowest level of the system hierarchy may perform more than one

function. In some cases, several components making up a system element at

the lowest level of the system hierarchy may be required to accomplish a

single function. Although the system-subsystem-component decomposition and

the functional decomposition can be carried down below this level, the

one-to-one correspondence between them breaks down.

An aircraft-based transportation system is made up of bases and

airfields, cargo, maintenance and support, training, and other elements.

Considered as a part of such a transportation system, the transport

aircraft itself is a functional unit at the lowest level of the system

hierarchy. The aircraft functional unit can not be decomposed into

components by the techniques of reference I without forcing the aircraft

designer to adopt a particular design solution. This study is concerned

with the aircraft functional unit of a transportation system and with

decomposition techniques that are appropriate for aircraft design, as

distinguished from system engineering.

The system-subsystem-component decomposition can be carried down into

the aircraft system element. This is done by the Work Breakdown Structure

(ref. I). Part of this decomposition is shown in Figure I to illustrate
the idea that the continuation of the system hierarchy breaks the

configuration into managable parts. The functions performed by the

aircraft can also be decomposed,and Figure 2 shows part of the aircraft

functional decomposition. Each of these functions corresponds to a design

analysis discipline.

The system integration process of reference I cannot be carried down

into the aircraft system elements because the functions in Figure 2 cannot

be assigned to the componentsin Figure I. For example, although the wing,

fuselage, and empennage all have primary functions (develop lift, carry

payload, and ensure static stability), they all have a "secondary"

function: to support the structural loads encountered by the aircraft in

flight. Of course, this function is not really "secondary": it is just as

important as the components' primary functions.

System integration methodology along the lines of the reference I

approach can be carried muchfurther in the engineering design of avionics

and software. In these disciplines, the system hierarchy and functional

decompositions can be carried down to the level where the component

elements can be developed by a single designer working alone. The design

of an aircraft necessarily involves a larger team.

An extension of system integration methodology which could coordinate

the efforts of the design team without interfering with design decisions

would be a very valuable tool. The decomposition of the configuration

(Figure I) and of the design analysis (Figure 2) are fundamental to current

aircraft design practice. The process aspect of design activity is equally

important: system integration is a process.

This report is about decomposition of the process aspect of design.

The design process decomposition defines the elements of the design process

(design tasks or subproblems) and the interfaces between these elements.

Since the design process is iterative, its decomposition must define how

the iteration is to be performed. The design process decomposition is used

to plan, schedule, and control the design effort to ensure that definite

progress toward system integration goals is made at each step.

1.1 Models and Decomposition

The basic model for the configuration is geometry. Configuration geometry

is essentially hierarchical. The system hierarchy provides a way to

decompose the configuration that corresponds naturally to the geometric

model. The functional aspects of a system are modeled by functional

relationships among system parameters and requirements. Three equivalent

models for these functional relationships are available (Figure 3):

equations/inequalities, directed graphs, and the adjacency matrix of the

directed graph (ref. 2). The n-squared matrix, used in System Engineering

to represent the functional decomposition (ref. I), is closely tied to the

adjacency matrix model: the n-squared matrix imposes a block submatrix

structure on the adjacency matrix. Blocks along the diagonal correspond to

the functional units, and the off-diagonal blocks represent coupling

2
between functions.

In order to model the process aspects of the design activity,

directed graph models such as task flowand PERT diagrams have been applied

(ref. I). Iterative loops are usually modeled explicitly on a task flow

diagram. PERT handles iteration indirectly by allowing uncertainty in

subtask completion times. Neither technique defines a controlling

procedure for performing the iterations. Without a model of the

controlling procedure, there is no way to distinguish a successful design

process decomposition - one that rapidly converges system integration

efforts on an optimal design - from a divergent design process that cannot

produce a design meeting all system requirements at any cost.

Design optimization (refs. 3, 4, and 5) provides a model for control

of the design process. Design optimization is the statement of a design

problem as a nonlinear constrained optimization problem. Techniques for

solving the nonlinear constrained optimization problem (ref. 6) can then

be applied to find a solution to the original design problem. One form of

the nonlinear constrained optimization problem is:

To minimize the objective function, f(x),

Subject to the equality constraints,

h(x) - b = 0

and to the inequality constraints,

g(x) - c < 0

The design optimization model provides a definition for the procedure

through which the three aspects of design activity interact. The

configuration and functional aspects of design are given simple

representations in the design optimization model. These simple

representations emphasize interaction of the design configuration and

function with the design process control. The configuration aspect of design

is represented by a set of design variables or design parameters. Design

synthesis is the result of interaction of the configuration and the design

process. The design process interacts with the functional aspect of design

through the application of engineering design analysis to evaluate the

functional relationships. The iteration procedure is diagrammed in Figure 4.

As seen in Figure 4, an initial guess for the values of the design

variables is evaluated by the design analysis. The evaluation of system

performance as a function of the parametric configuration description

corresponds to the objective function f(x) and the equality and inequality

constraint functions h(x) and g(x) of the nonlinear constrained optimization

problem. The design analysis evaluations are compared with system

requirements (represented by the vectors b and c of the constraints). Based

on the sensitivity of the system performance to changes in the design

variables/parameters, a new parametric design, x ÷ Ax is identified and the

3
process is iterated. A globally convergent algorithm (ref. 6) for solving

the nonlinear constrained optimization problem is used in the design

optimization model to identify a new parametric design and iterate the

process.

Design optimization provides a model of the process aspects of design

activity that is able to capture the idea of a convergent design process.

The design process decomposition can be based on techniques that have been

successfully applied to solve large design optimization problems (refs. 7

and 8). The work reported here is based on an iterative scheme for

converging a network of design optimization subproblems developed by Sobieski

(ref. 9). The technique is called linear decomposition. Sobieski and

co-workers have suggested (ref. 10) that linear decomposition may be used to

iterate through the system hierarchy, using reoptimization with optimal

sensitivity constraints (refs. 9, 11) to resolve conflicting design

requirements between system elements.

1.2 Scope of this work

This idea was investigated by formulating a significant portion of

the aircraft preliminary design activity for a transport aircraft as a

nonlinear constrained optimization problem. A combination of heuristics and

experience was used to decompose this problem into a network of design

optimization subproblems. (A heuristic is a "rule of thumb" used to find an

approximate solution close to the correct one.) The decomposition specified

how the design parameters were to be passed between the subproblems so that

the Sobieski technique for iterating through the decomposition could be used.

Following the approach in reference 10, a decomposition was sought that

corresponded to the system hierarchy form: that is, a hierarchical (tree)

structure in which each subproblem corresponds to a system element (such as a

subsystem or a component.)

Fitting the subproblems into the system hierarchy form proved to be a

difficult problem. The subproblems tended to be large and did not correspond

well to the elements of the aircraft system hierarchy. The reason for this

incompatibility is that the functional aspect of design is not reflected in

the system hierarchy. For example, all the hardware components on the

aircraft have mass, and, as a result, almost all of the aircraft system

components are coupled with more than one system function. This suggests

that the design process decomposition has its own form, distinct from the

functional and system hierarchy decompositions.

The process of preliminary design for a transport aircraft has been

decomposed into a multifaceted form_ The multifaceted form reflects both the

functional and system hierarchy decompositions. Significant advantages of

the system hierarchy decompostion, such as parallel solution of design

problems at the same level (ref. 10) are carried over into the multifaceted

decomposition.

Results of the multifaceted design process decomposition for a

transport aircraft are reported in Section 2. Section 3 examines the issues

4
involved in applying the multifaceted decomposition to system integration in

preliminary design. The heuristics used to form the design process

decomposition are found in Appendix A. Appendix B discusses the problem of

divergence in the multifaceted decomposition and proposes a direction for

further research. Appendix C describes the details of the linear

decomposition formulation of two of the subproblems in the multifacted

decomposition and discusses the iteration between them.
2. The Design Process Decomposition for a Transport Aircraft

The nonlinear programming formulation used to construct the design

process decomposition does not attempt to completely describe the extremely

complex process of aircraft preliminary design. The interaction of the

aerodynamic, structural, propulsion, control, and, to a limited extent,

operational aspects of a transport aircraft in determining a design with the

minimum take-off gross weight is considered. Performance of a design mission

(or missions) impacts the take-off gross weight through the weight of the

fuel required to fly the mission. Take-off gross weight measures how

efficiently alternative designs perform the design mission(s).

The size of a nonlinear programming problem can be measured by the

sum of the number of design variables and the number of constraint and

objective functions. This quantity is 470 for the part of the preliminary

design process considered in this report. In developing this formulation, an

initial set of design relationships was defined using references 12, 13, 14,

15, 16, 17, 18, 19, 20, and 21. Questions and ambiguities concerning how the

design relationships are applied in practice were resolved through

discussions with aircraft designers and engineering analysis specialists.

Some of the design relationships are based more heavily on the references,

and some more heavily on discussions with engineers. The flight controls

design relationships, for example, are based almost entirely on reference 15,

while the approach to structural dynamics is based much more on conversations

with structural dynamicists and landing gear designers.

Design relationships were included in the formulation if they

determined a design quantitity that was explicitly constrained or was subject

to different levels of approximation as iterations of the design process were

made. Difficult choices were made in the case of the mass matrix for finite

element analysis and the stability derivatives used in flight dynamics.

These design quantities were not included in the final formulation.

The details of'design criteria considered in the preliminary design

of a transport aircraft differ considerably depending on the aircraft system

specification. The analysis process is also configuration-dependent to some

extent. Rather than attempting to advocate a particular analysis approach,

the results presented in this report give a concise, accurate description of

the interconnections between the preliminary design analyses.

The faithfulness of the representation of the design process offered

here could be improved considerably through additional critique by expert

analytical engineers and designers. However, while these improvements may

alter the details of the design tasks, the multifaceted structure of the

design process decomposition is determined by the interconnections between

the physical and operational relationships which, along with the aircraft

components, define the concept of a transport aircraft. These relationships

will not be substantially changed by taking a different approach to the

design analysis.

An interesting issue encountered in developing the formulation
involved finding a practical representation for the design relationships.

SobiesKi (ref. 10) originally stated the problem in terms of the adjacency

matrix (Figure 3c). The signal flow graph representation (Figure 3b)

provided the best means for describing how the decomposition heuristics

should work. Both of these representations became increasingly difficult to

use as additional design relationships were defined. The complexity of the

signal flow graph and the size of the adjacency matrix (220,900 entries, most

of which are zero) made it difficult to use these tools to convey useful

information. The direct representation in terms of functional relationships

(Figure 3a) provided the most practical means to present the completed

formulation.

2.1 Subproblems of the Design Process Decomposition

The 470 design relationships were decomposed into 144 subproblems

using the technique described in Appendix A. The overall form of the design

process decomposition can be seen in Figure 5. Design tasks were assigned to

each subproblem based on the design relationships in the subproblem and on

the interfaces to other subproblems. Table I lists the design tasks assigned

to each of the subproblems in Figure 5. The design relationships in each of

the subpro_lems and the interfaces between the subproblems are detailed in

Tables 4 through 291. A discussion of the formulation of the subproblems as

nonlinear programming problems and their solution using linear decomposition

is presented in Appendix C.

2.2 Features of the Decomposition

Lines connecting the subproblems in Figure 5 indicate parameter flows

between the subproblems. Examining the form of the design process

decomposition in Figure 5, three pivotaldesign tasks are prominent. Lines

representing parameter flows are seen to converge on and radiate from

subproblems 4-08, 5-14, and 6-06. From Table I, these subproblems correspond

to (a) the flight dynamics problem (subproblem 4-08), (b) the flexible

aircraft maneuvering shapes and loads problem (subproblem 5-14) and (c) the

preliminary structural design problem (subproblem 6-06). The central

importance of these design tasks in the multifaceted decomposition is

confirmed by an examination of Tables 4 through 291. Subproblem 4-08

involves 50 design relationships, 30 input parameters, and 59 output

parameters; subproblem 5-14 involves 102 design relationships, 98 input

parameters, and 150 output parameters; and subproblem 6-06 involves 88 design

relationships, 71 input parameters, and 116 output parameters. Reference 22

describes an integrated design system for determining flexible aircraft loads

and bringing this information into the structural design process. The number

of other design tasks which interface with these problems in the design

process decomposition emphasizes the importance of such a design tool.

Similar integrated design capability is needed to address the flight dynamics

problem.

The results suggest that there are varying roles for the subproblems

of the decomposition. Consider, for example, subproblem 3-05. Subproblem

3-05 provides a consistent value for the low-speed-drag-polar parameter to

?
the other subproblems. Other subproblems (e.g., 4-08, 5-14, and 6-06) seem

to take a moreactive role in altering the configuration in response to

design requirements.

The nature of the parameters that are passed between subproblems

raises several problems. The design relationships were defined in terms of

objects, such as the cruise 3-d shape, that are used in the design process.

These objects are passed back and forth between subproblems as "parameters"

in the multifaceted decomposition. The optimal sensitivity derivatives are

defined in reference 11 only for real-valued parameters. Further research is

required to develop techniques to handle more general types of "parameters".

For example: the cruise-3d-shape parameter must be passed between

subproblems 4-08 and 5-14 (Table 65). How are optimal sensitivites to be

computed for a design quantity representing the aircraft's shape? Recent

results in shape optimization (ref. 23) and shape design sensitivity

analysis (ref. 24) may prove useful in addressing this issue.

The fuselage-structural-arrangement is passed as a parameter between

subproblems 4-09 and 5-14. The structural arrangement specifies the type and

location of structural elements and the joints connecting them. The discrete

nature of the fuselage-structural-arrangement design relationship indicates

that development of some heuristics for determining optimal'sensitivites for

discrete parameters is important. The work of Schmit and Fleury (ref. 25)

suggests that duality theory can be applied to address this problem.

Subproblems 7-4 through 7-51 are responsible for ensuring that the

elastic properties of the individual structural elements are adequate for

satisfaction of the stress constraints. In the past, when material selection

was limited (i.e., to aluminum and similar metals), there was little freedom

of design in meeting these constraints. However, increased use of composite

materials and the accompanying ability to tailor the design of structural

elements to very specific stress conditions will greatly expand the

importance 9f these tasks within the design process. The decomposition

structure illustrates the key role of these subproblems and the impact of

structural element design techniques on the design process as a whole.

8
3. Impact on Aircraft Design

The design process decomposition promises to be very useful for

aircraft preliminary design. The decomposition can be used for planning and

scheduling. An interesting approach to configuration control is suggested by

the way the design process decomposition seems to manage many different

configurations. The design process decomposition technique will be an

important component of a new generation of object-centered design tools

currently being developed.

3.1 Scheduling of Design Tasks

The subproblems in the design process decomposition can be

interpreted as design tasks. Each of the design tasks is iterative, and will

have to be performed several times during the preliminary design effort. The

design task will take a certain amount of work each time. In planning the

design effort, project managers and design engineers will have to make some

estimate of the number of times each task will be iterated. Once the length

of time and the number of iterations for each task has been estimated, the

design process decomposition can be used to develop a project schedule,

identify configuration release'milestones, and plan trade studies.

3.2 Configuration Control

Ever-increasing design definition is required throughout the design

process in order to thoroughly explore alternative design solutions.

Paradoxically, the investment in developing this design definition tends to

limit the designers' freedom to subsequently change the design (ref. 10). A

closely related and recurring situation in aircraft design is the difficulty

of getting all of the design task groups to analyze the same configuration.

The solution has traditionally been "better configuration control". In order

to control the configuration, we have to know what it is. The problem is

that by the time we know what the configuration is, it is already designed.

The design process decomposition suggests another way of doing

things: decentralize the configuration control and concentrate management on

the interfaces. The design process decomposition clearly models the

existence of many different configurations. The system integration process

converges these configurations on a single, optimal configuration.

].3 Design Applications of Object-Orlented Programming

In developing computer models of design activity, it is particularly

appropriate to model the design configuration and its components and

sub-components using object-oriented programming techniques (ref. 26).

Representing design components as software objects allows associated computer

programs to manipulate the components and their attributes (e.g., dimensions,

mass, etc.) in much the same way the designer would. Design activities may

then be directly implemented in terms of actions and responses to be

associated with these software objects, thereby modelling the relevant

physical behavior of the design components (ref. 27).
Analysis of the design configuration can also be modelled using the

object-oriented approach. Insofar as analysis consists of the application of

appropriate design fUnctions to calculate values for the design variables

(e.g., component attributes), analysis programs may be thought of as

"analytical model" objects which manipulate both design function and design

variable objects (ref. 28).

Finally, the present work serves to demonstrate the applicability of

object-oriented programming to computer models of the process aspect of

design activity. The decomposition heuristics described in Appendix A are

implemented as acting on subproblem (i.e., task) objects, between which the

transfer of parameters and optimal sensitivity derivatives takes place.

Combining an object-oriented representation of the configuration

("components"), an object-oriented representation of the analysis ("models"),

and an appropriate technique for both numeric and symbolic constraint

propagation (see ref. 29), it should be possible to develop a computer

representation of the vehicle under design which provides the ability to

quickly implement and investigate design changes, and readily maintain a

consistent configuration, as desired. Combining these capabilities with an

object-oriented model of the design process (to include sub-problem managers,

optimization handlers, documentation facilities, and the like) could result

in a system which could manage the design problem from conceptual design

through the final stages of advanced preliminary design.

I0
Appendix A. Decomposition Heuristics

The design process decomposition was constructed by applying two

heuristic rules to the subproblems. The method is related to techniques for

resolving the structure of complex systems described in references 30, 31,

32, and 33. The heuristics build up the decomposition from the design

relationships by coupling connected subproblems. Subproblems are coupled if

design parameters that are set in one of the subproblems are inputs to a

design relationship in another.

The decomposition procedure first defines a subproblem for each of

the design relationships. One of the design relationships is identified as

the objective function for the optimization problem.

The first heuristic defines the levels of the design process

decomposition. The subproblem containing the objective design relationship

is placed at level 0. The rest of the levels are computed by iteration as

shown in Figure 6. Subproblems are placed at level (i + I) if they are

coupled to subproblems at "level (i), but not coupled to any subproblems at a

level above (i.e., with a numerically smaller level index) level (i).

The second heuristic merges coupled subproblems that are on the same

level of the design process decomposition (Figure 7).

11
Appendix B. Iteration through the Multifaceted Design Process

Decomposition

The system hierarchy decomposition has definite advantages for

iteration. The system hierarchy network has a special structure, called a

"tree" in graph theory. The tree structure of the system hierarchy implies

that once subproblems are decoupled, they remain decoupled at all subsequent

levels of the system hierarchy. This fact makes it relatively simple to

define how the design parameters and optimal sensitivity derivatives are to

be passed from one subproblem to another. As shown in Figure 8, (ref. 10),

parameters flow top-down and optimal sensitivity derivatives flow bottom-up.

The multifacete_ decomposition captures the functional form of the

design and thus is more appropriate for the design process decomposition than

the system hierarchy. However, iteration through the multifaceted

decomposition is necessarily more complex than iteration through the system

hierarchy. The form of the multifaceted decomposition is shown in Figure 9.

Subproblems typically have more than one predecessor at a higher level in the

multifaceted decomposition (e.g subproblem 5-14 in Figure 5.)

Divergence in the Multifaceted Decomposition

The top-down parameter flow/bottom-up sensitivity flow scheme of

Figure 8 is potentially divergent if applied to the multifaceted

decomposition. Consider the situation shown in Figure 10. Subproblem 3 has

two predecessors, subproblem I and subproblem 2. A value for parameter I is

set by an optimal solution of subproblem I and passed to subproblem 3.

Parameter 2 is set by an optimal solution of subproblem 2 and is also passed

to subproblem 3. A optimal solution to subproblem 3 is found and its

sensitivity to variation of parameters I and 2 is calculated using the

technique of reference 11. The optimal sensitivity derivative with respect

to parameter I is passed back up from subproblem 3 to subproblem I, and

similarly for parameter 2. Subproblems I and 2 are resolved subject to the

optimal sensitivity constraints. A possible outcome of the re-solutions is

shown in Figure 11.

In Figure 11, the results of line searches in subproblems I and 2 are

superimposed on the level curves of the optimal solution (penalty function)

of subproblem 3. The subproblem I line search is performed by varying

parameter I with the value of parameter 2 held fixed. Point C is found to be

optimum. Point B is the subproblem 2 optimum. The new values of parameters

I and 2 that will be passed to subproblem 3 in the next iteration correspond

to point D. But point D results in a lower value of the subproblem 3 optimal

solution penalty function than point A. The iteration is divergent.

Proposed Iteration Procedure for the Multifaceted Decomposition

Reference 9 considers more general iteration strategies than the

Figure 8 procedure proposed in reference 10. An alternative to the top-down

parameter flow/bottom-up sensitivity flow strategy can be developed based on

the reference 9 iteration techniques. Divergence in the multifaceted

12
decomposition example (Figure 11) is caused by the fact that the

optimizations in parameters I and 2 are not coordinated. Coordination of

these optimizations can be achieved by including them both in the same

subproblem. In order to do this, the parameter and sensitivity flows must be

inverted in some cases, as shown in Figure 12.

This inversion may still result in divergence. The bottom-up

parameter flow/top-down sensitivity flow iteration strategy can diverge when

it is applied to subproblems with more than one successor. This is because

when the parameter and sensitivity flows are reversed, as in the bottom-up

parameter flow/top-down sensitivity flow iteration strategy, the roles of

predecessor and successor are switched. Thus, applying the bottom-up

parameter flow/top-down sensitivity flow in the case where a subproblem has

more than one successor is completely analogous, from the standpoint of the

divergence phenomenon, to the application of the top-down parameter

flow/bottom-up sensitivity flow in the case of a subproblem with more than

one predecessor. Thus, to avoid divergence, some parameters will have to be

passed both ways (Figure 12). Conflicts between the parameter values can

then be resolved by constraining them to be equal in both subproblems

(Reference 9). Whether this technique is actually convergent has not yet

been established and requires further investigation.

13
Appendix C. Formulation of Nonlinear Programming Problems in the

Multifaceted Decomposition

The formulation of subproblem 1-01 of Table I, take-off weight

allocation, as a nonlinear programming problem is given in Table 2. The

constraints in subproblem 1-01 are of two types: design relationship and

optimal sensitivity. Design relationships in subproblem 1-01 are listed in

Table 4. The design relationship constraint, constraint (I) of Table 2,

equates the take-off-gross-weight design parameter to a function of the

mission-fuel.and empty-weight design parameters. (Explicitly, this function

would be:

take-off-gross-weight : mission-fuel + empty-weight

+ trapped fuel, etc.)

The decision variables of this nonlinear programming

take-off-gross-weight, mission-fuel, and empty-weight.

problem are

Applying the linear decomposition technique for iterating through the

subproblem network, an initial solution for subproblem 1-01 consists of an

allocation of take-off-gross-weight to mission-fuel and empty-weight so that

constraint (I) of Table 2 is satisfied. The initial allocation would be

based on an examination of weight data for similar aircraft, and would not

involve application of any numerical optimization techniques.

The interfaces between subproblem 1-01 and subproblems at level 2 of

the multifaceted decomposition are listed in Table 5. Table 3 gives the

nonlinear programming formulation for one of these subproblems, subproblem

2-04. The initial solution for subproblem 2-04 involves finding a

combination of trlmmed-drag-polar, f-x-t (thrust in the direction of the

flight path), and specific-fuel-consumption satisfying constraint (_) of

Table 3. take-off-gross-weight and mission-fuel are held fixed at the values

determined by subproblem 1-01. Partial deriviatives of a penalty function,

K, measuring how successful we were in satisfying constraint (I) of Table 3

are passed to subproblem 1-01 on level I. These partial derivatives are

taken with respect to take-off-gross-weight and mission-fuel, with the

trimmed-drag-polar, f-x-t, and specific-fuel-consumption design quantities

adjusted to maintain the optimal value of the penalty function (using the

technique of Reference 11).

The optimal sensitivity constraints, (2) through (6) of Table 2, are

included in the second and subsequent iterations re-solving subproblem 1-01.

These constraints force subproblem 1-01 to adjust the take-off-gross-welght

allocation to improve the feasiblity of the solutions to the level 2

subproblems. For example, constraint (5) of Table 2 requires that any

adjustments to the take-off-gross-weight allocation will not adversely affect

the aircraft's ability to perform the design mission.

14
References

I. System Engineering Management Guide, Defense System Management College,

Contract MDA 903-82-C-0339, Lockheed Missiles and Space Company, Inc.,

October 1983.

2. Carre, Bernard: Graphs and Networks. _ford University Press, Oxford,

1979.

3. Schmit, L.A.: Structural Design by Systematic Synthesis. Proc 2nd.

Conf. on Electronic Computation ASCE, New York, 1960, pp. 105-122.

4. Fox, R.L.: Optimization Methods for Engineering Design. Addison-Wesley,

Reading, MA, 1971.

5. Vanderplaats, G.N. : Numerical Optimization Techniques for Engineering

Design; with Applications. McGraw-Hill, New York, 1984.

6. Luenberger, D.G.: Linear and Nonlinear Programming.

Addison-Wesley, Reading, MA, 1984.

Second Edi tion •

7. Akagi, S.; Yokoyama, R.; and Ito, K.: Optimal Design of

Semisubmersible's Form Based on Systems Analysis. Trans. ASME, v. 106,

Dec. 1984, pp. 524-530.

8. Barthelemy, J.M.: Development of a Multilevel Optimization Approach to

the Design of Modern Engineering Systems. NASA-CR-172184, August 1983.

9. Sobieszczanski-Sobieski, J. : A Linear Decomposition Method for Large

Optimization Problems - Blueprint for Development. NASA TM-83248, February

1 982.

10. Sobie szc zan ski-Sobie ski, J.; Bar the ferny, J.-F.M. ; and Giles, G.L. :

Aerospace Engineering Design by Systematic Decomposition and Multilevel

Optimization. ICAS-84-4.7.3, September, 1984.

11. Sobieszczan ski-Sobie ski, J.; Bar the lemy, J.F.; and Riley, K.M. :

Sensitivity of Optimum Solutions to Problem Parameters. AIAA 81-0548R, AIAA

Journal, v. 20, n. 9, September 1982, pgs. i291-1299.

1 2. Kuchemann, D. : The Aerodynamic Design of Aircraft, Pergamon Press,

Oxford, United Kingdom, 1978.

13. Oates, G.C.: The Aerothermodynamics of Aircraft Gas Turbine Engines.

AFAPL-TR-78-52, July 1978.

15
References, cont •

14. Bisplinghoff, R.L., and Ashley, H.:

Dover, New York, 1975.

Principles of Aeroelasticity.

15. Roskam, J.: Airplane Flight Dynamics and Automatic Flight Controls,

Parts I and II, Roskam Aviation and Engineering Corporation, Ottawa, Kansas,

1979

16. Zienkiewicz, O.C.:

London, 1977.

The Finite Element Method. McGraw-Hill (UK),

17. Torenbeek, E.: Synthesis of Subsonic Airplane Design. Delft University

Press, Delft, Holland, 1982.

18. Currey, N.S.: Landing Gear Design Handbook. Lockheed-Georgia Company,

Marietta, Georgia, 1982.

19. Roskam, J.: Airplane Design; Parts II, III, and V. Roskam Aviation and

Engineering Corporation, Ottawa, Kansas, 1986.

20. Lan, C.-T. E.; and Roskam, J.: Airplane Aerodynamics and Performance.

Roskam Aviation and Engineering Corporation, Ottawa, Kansas, 1980.

21. Megson, T.H.G: Aircraft Structures for Engineering Students.

Arnold, London, 1972.

Edward

22. Johnson, E.H.; Venkayya, V.B.: Progress Report on the "Automated

Strength-Aeroelastic Design of Aerospace Structures" Program. Recent

Experiences in Multidisciplinary Analysis and Optimization. J. Sobieski,

comp., NASA Conference Publication 2327, 1984.

23. Kikuchi, N.; Taylor, J.E.: Shape Optimization including Finite Element

Grid Adaptation. Recent Experiences in Multidisciplinary Analysis and

Optimization. J. Sobieski, comp., NASA Conference Publication 2327, 1984.

24. Choi, K.K.: Shape Design Sensitivity Analysis of Built-up Structures.

Recent Experiences in Multidisciplinary Analysis and Optimization. J.

Sobieski, comp., NASA Conference Publication 2327, 1984.

16
References, cont.

25. Schmit, L.A.; and Fleury, Claude: Discrete-Continuous Variable

Synthesis using Dual Methods. AIAA Journal, v. 18, n. 12, December 1980,

pgs. 1515-1524. 26. Abels.n, H.; Sussman, G.J.; and Sussman, J.:

Structure and Interpretation of Computer Programs. The MIT Press, Cambridge,

MA, 1985.

27. Kolb, M.A.: Rubber Airplane, a Paradigm for Computer-Aided Preliminary

Design Based on Component-Modelling. Ph.D. thesis proposal (preliminary

draft). Department of Aeronautics and Astronautics, Massachusetts Institute

of Technology, Cambridge, MA, 1986.

28. Elias, A.L.: Knowledge Engineering of the Aircraft Design Process.

Knowledge Based Problem Solving. J.S. Kowalic, ed., Prentice-Hall,

Englewood Cliffs, NJ, 1985.

29. Winston, P.H.: Artificial

Addison-Wesley, Reading, MA, 1984.

Intelligence. Second Edition.

30. Malone, D. W.: An Introduction to the Application of Interpretive

Structural Modeling. Proc. IEEE, v. 63, no. 3, March 1975, pp. 397-404.

31. Steward, D.V.: The Design Structure System: A Method for Managing the

Design of Complex Systems. IEEE Trans. on Eng. Mgmt., v. EM 28, no. 3,

August, 1981.

32. Tang, W.; Michel, A.N.; and Hale, H.W.: On Structure and Stability of

Interconnected Dynamical Systems. IEEE Trans. on Circuits and Systems, v.

CAS-27, no. 5, MaY 1980.

33. Kevorkian, A.K.; and Snoek, J.: Decomposition of Large Scale Systems -

Theory and Applications of Structural Analysis in Partitioning, Disjointing

and Constructing Hierarchical Systems. Decomposition of Large Scale

Problems. D.M. Himmelblau, ed., North-Holland/American Elsevier, 1973.

34. Alexander, C.W.: Notes on the Synthesis of Form. Harvard Univ.

Cambridge, Mass., 1964.

Pro,

17
Table I.

Design Tasks of the Multifaceted Design Process Decomposition.

Subproblem Design Task

1-01 take-off weight allocation

2-01

2-02

2-03

2-04

2-05

balanced field take-off acceleration

and climb gradient

take-off stall speed

nose wheel lift-off

mission performance

empty weight allocation

3-01

3-02

3-03

3-04

3-05

3-06

3-07

3-O8

3-09

3-10

3-11

3-12

3-13

3-14

3-15

3-16

3-17

tire/runway friction coeff.

thrust vector

take-off (C-b)max

braking effective thrust

low speed drag polar

main gear location

balanced-field takeoff distance

landing gross weight

horizontal tail (C-L)max

wing/body aerodynamic center

win_/body moment coefficient

aircraft c.g. location,

sizing of the horizontal tail

trimmed flight drag polar

specific fuel consumption

flight design gross weight

structural weight allocation

control system weight

18
_,-01

4-02

4-03

4-04

4-05

4-06

4-07

4-08

4-09

4-10

4-11

4-12

4-13

4-14

4-15

4-16

4-17

4-18

_-19

4-20

4-21

4-22

4-23

Table I., cont.

landing stall speed

landing descent gradient

nose gear braking loads

adjusted tire/runway

friction coefficient (take-off)

landing brake deceleration

landing equivalent inertia time

main gear landing impact loads

flight dynamics

fuselage c.g. location

horizontal tail c.g. location

vertical tail c.g. location

wing c.g. location

main gear c.g. location

nose gear c.g. location

fuselage structural weight

main gear structural weight

wing structural weight

rudder actuator weight

horizontal tail structural weight

aileron actuator weight

elevator actuator weight

vertical tail structural weight

nose gear structural weight

19
5-01

5-02

5-03

5-04

5-05

5-O6

5-07

5-08

5-09

5-10

5-11

5-12

5-13

5-14

5-15

5-16

5-17

5-18

5-19

Table I., cont.

landing speeds, distances

landing flap settings

nose gear attachment loads

wing/body angle-of-attack llft derivative

engine installation losses

airplane angle-of-attack lift and

pitching moment derivatives

horizontal tail angle-of-attack llft derivative

engine support structure aerodynamics loads

fuselage aerodynamic loads

horizontal tail aerodynamic loads

vertical tail aerodynamic loads

pull-up angle of attack

vertical tail location

flexible aircraft loads, deformations

horizontal tail location

pull-up elevator deflection

airplane moments of inertia

elevator quasi-static aerodynamic loads

nose gear geometry

2O
6-01

6-02

6-03

6-04

6-05

6-06

6-07

6-08

6-O9

6-10

6-11

6-12

6-13

6-14

6-15

6-16

6-17

6-18

6-19

6-20

6-21

6-22

6-23

6-24

7-01

7-02

7-03

7-04

7-05 - 7-52

7-53

7-54

7-55

Table I., cont.

landing distance

engine inlet pressure recovery

engine inlet distortion

engine ram drag

engine boattail drag

preliminary structural design

rudder actuator flutter analysis

rudder maximum hinge moment

flutter deformations

nose gear kinematics

wing structural arrangement

vertical tail moments of inertia

main gear moments of inertia

fuselage moments of inertia

wing moments of inertia

horizontal tail moments of inertia

nose gear moments of inertia

load factor determination

main gear kinematics

elevator actuator flutter analysis

aileron actuator flutter analysis

aileron maximum hinge moment

aircraft quasi-steady

aerodynamic loads (landing)

wing center-of-pressure distribution

inlet-3d-geometry

fuselage aerodynamic loads (pull-up)

horizontal tail aerodynamic loads (pull-up)

vertical tail aerodynamic loads (pull-up)

structural element stresses

fuselage aerodynamic loads (turn)

horizontal tail aerodynamic loads (turn)

vertical tail aerodynamic loads (turn)

21
Table 2. Formulation of Subproblem 1-01 as a Nonlinear Programming Problem.

Minimize: take-off-gross-weight

Subject to Constraints:

take-off-gross-weight = f1(mission-fuel,empty-weigbt) (I)

K(2-O1)(take-off-gross-weigbt) < K*(2-01) C2)

K(2-O2)(take-off-gross-weight) < K*(2-02) (3)

X(2-O3)(take-off-gross-weigbt) _ K*(2-03) (4)

K(2-O4)Ctake-off-gross-weigbt,mlsslon-fuel)

< K*(2-04) (5)

K(2-O5)(empty-weight) < K*(2-05) (6)

Decision Variables:

take-off-gross-weight, mission-fuel, empty-weight

22
Table 3. Formulation of Subproblem 2-04 as a Nonlinear Programming Problem.

Find a Feasible Solution to:

mission-fuel (1-01) = f2(trimmed-drag-polar,f-x-t,

speclfic-fuel-consumption,

take-off-gross-weight (I-01))

K(3-O2)(f-x-t) < K*(3-02)

K(3-13)(trimmed-drag-polar) < K*(3-13)

K(3-14)(specific-fuel-consumption) < K*(3-14)

f-x-t = f-x-t (3-02)

(I)

(2)

(3)

(a)

(5)

Decision Variables:

trimmed-drag-polar, f-x-t, specific-fuel-consumption

23
Table 4. Design Relationships in Subproblem 1-01

take-off-gross-welght is a function of:

mission-fuel

empty-weight

Table 5. Subproblem 1-01 Interfaces

SUCCESSORS

Input Parameters To Subproblem 2-03

take-off-groSs-weight

Input Parameters To Subproblem 2-04

take-off-gross-weight

mission-fuel

Input Parameters To Subproblem 2-01

• take-off-gross-welght

Input Parameters To Subproblem 2-02

take-off-gross-weight

Input Parameters To Subproblem 2-05

empty-weight

24
Table 6. Design Relationships in 3ubproblem 2-01

take-off-brake-deoeleratlon is a function of:

-take-off-gross-welght

braking-effectlve-thrust

decision-speed

low-speed-drag-polar

take-off-distance-to-failure is a function of:

decision-speed

f-x-t

thrust-line

low-speed-drag-polar

take-off-gross-welght

tlre/runway-frlctlon-coefflclent

take-off-equivalent-climb-gradient is a function of:

engine-out-f-x-t

thrust-line

low-speed-drag-polar

take-off-gross-weight

take-off-distance-from-failure-to-screen-height

take-off-equivalent-inertia-time

decision-speed

take-off-gross-weight

engine-out-f-x-t

thrust-line

is a function of:

25
Table 7. Subproblem 2-01 Lnterfaoes

PREDECESSORS

Output Parameters To Subproblem 1-01

take-off-gross-weight

SUCCESSORS

Input Parameters To Subproblem 3-07

take-off-equlvalent-lnertia-time

take-off-equivalent-climb-gradlent

take-off-distance-to-failure

take-off-distance-from-failure-to-screen-height

decision-speed

take-off-brake-deceleration

Output Parameters To Subproblem 3-07

take-off-equivalent-inertia-time

take-off-equivalent-climb-gradient

take-off-distance-to-failure

take-off-dlstance-from-failure-to-screen-helght

decision-speed

take-off-brake-deceleration

Input Parameters To Subproblem 3-04

braking-effective-thrust

Input Parameters To Subproblem 3-05

low-speed-drag-polar

Output Parameters To Subproblem 3-05

low-speed-drag-polar

26
Table 7. Subproblem 2-01 Interfaces, cont.

Input Parameters To Subproblem 3-02

engine-out-f-x-t

f-x-t

thrust-line

Output Parameters To Subproblem 3-02

engine-out-f-x-t

f-x-t

thrust-line

Input Parameters To Subproblem 3-01

tire/runway-friction-coefficient

Table 8. DesignRelationships in Subproblem 2-02

v-stall-take-off is a function of:

take-off-gross-weight

take-off-c-l-max

Table 9. Subproblem 2-02 Interfaces

PREDECESSORS

Output Parameters To Subproblem 1-01

take-off-gross-weight

SUCCESSORS

Input Parameters To Subproblem 3-07

v-stall -take-off

27
Table 9. Subproblem 2-02 Interfaces, cont.

Output Parameters To Subproblem S-O?

v-stall-take-off

Input Parameters To Subproblem B-OB

take-off-c-l-max

Table 10. Design Relationships in Subproblem 2-03

nose-wheel-lift-off is a function of:

horizontal-area

f-x-t

thrust-line

low-speed-drag-polar

airplane-cg

main-landing-gear-location

c-m-wing-body-ac

wing-body-ac

v-take-off-rotation

take-off-gross-weight

horizontal-c-l-max

horizontal-tail-volume-coefficient

Table 11. Subproblem 2-03 Interfaces

PREDECESSORS

Output Parameters To Subproblem 1-01

take-off-gross-weight

28
Table 11. Subproblem 2-03 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 3-12

airplane-cg

horlzontal-tail-volume-coefflclent

horizontal-area

Input Parameters To Subproblem 3-02

f-x-t

thrust-line

Output Parameters To Subproblem 3-02

f-x-t

thrust-line

Input Parameters To Subproblem 3-05

low-speed-drag-polar

Output Parameters To Subproblem 3-05

low-speed-drag-polar

Input Parameters To Subproblem 3-06

main-landing-gear-location

Input Parameters To Subproblem 3-11

c-m-wing-body-ac

Input Parameters To Subproblem 3-10

wing-body-ac

Input Parameters To Subproblem 3-07

v-take-off-rotation

Output Parameters To Subproblem 3-07

v-take-off-rotation

29
Table 11. Subproblem 2-03 Interfaces, cont.

Input Parameters To Subproblem 3-09

horlzontal-c-l-max

Table 12. Design Relationships in Subproblem 2-04

mission-fuel is a function of:

trimmed-drag-polar

f-x-t

specific-fuel-consumption

take-off-gross-welght

Table 13. Subprcblem 2-04 Interfaces

PREDECESSORS

Output Parameters To Subproblem 1-01

take-off-gross-weight

mission-fuel

SUCCESSORS

Input Parameters To Subprcblem 3-13

trimmed-drag-polar

Input Parameters To Subprcblem 3-02

f-x-t

Output Parameters To Subproblem 3-02

f-x-t

3O
Table 13. Subproblem 2-04 Interfaces, cont.

Input Parameters To Subproblem 3-14

specific-fuel-consumption

Table 14. Design Relationships in Subproblem 2-05

empty-weight is a function of:

structural-weight

control-system-weight

Table 15. Subproblem 2-05 Interfaces

PREDECESSORS

Output Parameters To Subproblem 1-01

empty-weight

SUCCESSORS

Input Parameters To Subproblem 3-15

empty-weight

Input Parameters To Subproblem 3-08

empty-weight

Input Parameters To Subproblem 3-16

structural-weight

Input Parameters To Subproblem 3-17

control-system-weight

31
Table 16. Design Relationships in 3ubproblem 3-01

tlre/runway-frlction-coefflclent is an independent design parameter

Table 17. Subproblem 3-01 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-01

tire/runway-frictlon-coefflclent

SUCCESSORS

Output Parameters To Subproblem 4-04

tire/runway-friction-coefflcient

Table 18. Design Relationships in Subproblem 3-02

thrust-llne is an independent design parameter

f-x-t is a function of:

thrust-llne

engine-net-thrust

engine-out-f-x-t is a function of:

f-x-t

32
Table 19. Subproblem 3-02 Interfaces

PREDECESSORS

Input Parameters To Subproblem 2-03

f-x-t

thrust -line

Output Parameters To Subproblem 2-03

f-x-t

thrust-line

Input Parameters To Subproblem 2-01

f-x-t

thrust -line

engine-out-f-x-t

Output Parameters To Subproblem 2-01

f-x-t

thrust-line

engine-out-f-x-t

Input Parameters To Subproblem 2-04

f-x-t

Output Parameters To Subproblem 2-04

f-x-t

SUCCESSORS

Input Parameters To Subproblem 4-08

thrust-line

engine-net-thrust

33
Table 19. Subproblem 3-02 Interfaces, cont.

Output Parameters To Subproblem 4-08

thrust-line

engine-net-thrust

Input Parameters To Subproblem q-02

f-x-t

thrust-line

Output Parameters To Subproblem 4-02

f-x-t

thrust-line

Input Parameters To Subproblem 4-06

f-x-t

thrust-line

Output Parameters To Subproblem 4-06

f-x-t

thrust-line

Table 20. Design Relationships in Subproblem 3-03

take-off-c-l-max is a function of:

take-off-3d-shape

34
Table 21. Subproblem 3-03 Interfaces

PREDECESSORS

Output Parameters TO Subproblem 2-02

take-off-c-l-max

SUCCESSORS

Input Parameters To Subproblem 4-04

take-off-c-l-max

Output Parameters To Subproblem 4-04

take-off-c-l-max

Input Parameters To Subprobiem 4-08

take-off-3d-shape

Output Parameters To Subproblem 4-08

take-off-3d-shape

Table 22. Design Relationships in Subproblem 3-04

braking-effective-thrust is an independent design parameter

35
Table 23. 3ubproblem 3-04 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-01

braking-effective-thrust

SUCCESSORS

Input Parameters To Subproblem 4-05

braking-effectlve-thrust

Output Parameters To Subproblem 4-05

braking-effective-thrust

Input Parameters To Subproblem 4-03

braking-effective-thrust

Output Parameters To Subproblem 4-03

braking-effective-thrust

Table 24. Design Relationships in Subproblem 3-05

low-speed-drag-polar is a function of:

cruise-3d-shape

high-lift-device-3d-geometry

36
Table 25. Subproblem 3-05 Interfaces

PREDECESSORS

Input Parameters To Subproblem 2-03

low-speed-drag-polar

Output Parameters To Subproblem 2-03

low-speed-drag-polar

Input Parameters To Subproblem 2-01

low-speed-drag-polar

Output Parameters To Subproblem 2-01

low-speed-drag-polar

SUCCESSORS

Input Parameters To Subprobiem 4-04

low-speed-drag-polar

Output Parameters To Subproblem 4-04

low-speed-drag-polar

Input Parameters To Subproblem 4-05

low-speed-drag-polar

Output Parameters To Subproblem 4-05

low-speed-drag-polar

Input Parameters To Subproblem 4-02

low-speed-drag-polar

37
Table 25. Subproblem 3-05 Interfaces, cont.

Output Parameters To Subpnoblem 4-02

low-speed-drag-polar

Input Parameters To Subproblem 4-08

hlgh-llft-device-3d-geometry

cruise-3d-shape

Output Parameters To Subproblem 4-08

high-lift-device-3d-geometry

crulse-3d-shape

Table 26. Design Relationships in Subproblem 3-06

main-landing-gear-locatlon is an independent design parameter

Table 27. Subproblem 3-06 Interfaces

PREDECESSORS

!

Output Parameters To Subproblem 2-03

main-landing-gear-location

SUCCESSORS

Output Parameters To Subproblem 4-03

main-landing-gear-locatlon

38
Table 28. Design Relationships in Subproblem 3-07

decision-speed is a f_mction of:

take.off-distanoe-from-failure-to-screen-height

take-off-dlstance-from-failure-to-stop

take-off-distance-from-failure-to-screen-height

decision-speed

take-off-equivalent-climb-gradient

is a function of:

take-off-distance-from-failure-to-stop

decision-speed

take-off-brake-deceleration

take-off-equivalent-inertia-time

is a function of:

v-take-off-rotation is a function of:

decision-speed

v-stall-take-off

balanced-field-takeoff-distance is a function of:

take-off-distance-to-failure

take-off-distance-from-failure-to-screen-helght

39
Table 29. Subproblem 3-07 Interfaces

PREDECESSORS

Input Parameters To Subproblem 2-01

decision-speed

take-off-brake-deceleration

take-off-distance-to-failure

take-off-equivalent-climb-gradient

take-off-distance-from-failure-to-screen-height

take-off-equivalent-inertia-time

Output Parameters To Subproblem 2-01

decision-speed

take-off-brake-deceleration

take-off-dlstance-to-failure

take-off-equivalent-cllmb-gradient

take-off-dlstance-from-failure-to-screen-height

take-off-equivalent-inertia-time

Input Parameters To Subproblem 2-03

v-take-off-rotation

Output Parameters To Subproblem 2-03

v-take-off-rotation

Input Parameters To Subproblem 2-02

v-stall-take-off

Output Parameters To Subproblem 2-02

v-stall-take-off

_0
Table 30. Design Relationships in 3ubproblem 3-08

landing-gross-weight is a function of:

empty-weight

Table 31. Subproblem 3-08 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-05

empty-weight

SUCCESSORS

Input Parameters To Subproblem 4-05

landing-gross-weight

Output Parameters To Subproblem 4-05

landing-gross-weight

Input Parameters To Subproblem 4-01

landing-gross-weight

Input Parameters To Subproblem 4-02

landlng-gross-weight

Output Parameters To Subproblem 4-02

landing-gross-weight

Input Parameters To Subproblem 4-06

landing-gross-weight

41
Table 31. Subproblem 3-08 Interfaces, cont.

Output Parameters To Subproblem _-06

landing-gross-weight

Input Parameters To Subproblem 4-07

landlng-gross-weight

Table 32. Design Relationships in Subproblem 3-09

horizontal-c-l-max is a function of:

horizontal-3d-shape

Table 33. Subproblem 3-09 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-03

horizontal-c-l-max

SUCCESSORS

Output Parameters To Subproblem 4-08

horizontal-3d-shape

42
Table 34. Design Relationships in Subproblem 3-I0

wing-body-ac is a function of:

wlng-fuselage-3d-shape

Table 35. Subproblem 3-10 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-03

wing-body-ac

SUCCESSORS

Output Parameters To Subproblem 4-08

wing -body -ac

wing -fuse lage -3d -shape

Table 36. Design Relationships in Subproblem 3-11

c-m-wing-body-ac is a function of:

wing-fuselage-3d-shape

43
Table 37. Subproblem 3-11 Interfaces

PREDECESSORS .

Output Parameters To Subproblem 2-03

c-m-win6-body-ac

SUCCESSORS

Output Parameters To Subproblem 4-08

wing-fuselage-3d-shape

Table 38. Design Relationships in Subproblem 3-12

horizontal-area is an independent design parameter

horizontal-tail-volume-coefficlent

horizontal-area

airplane-cg

horizontal-ac

is a function of:

alrplane-cg is a function of:

fuselage-cg

horlzontal-cg

vertical-cg

wing-cg

main-landing-gear-cg

nose-landing-gear-cg

44
Table 39. Subproblem 3-12 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-03

airplane-og

horizontal-tail-volume-coefficlent

horizontal-area

SUCCESSORS

Input Parameters To Subproblem 4-08

airplane-cg

horizontal-area

horizontal-ac

Output Parameters To Subproblem 4-08

airplane-cg

horizontal-area

horizontal-ac

Input Parameters To Subproblem 4-09

fuselage-cg

Input Parameters To Subproblem 4-10

horizontal-cg

Input Parameters To Subproblem 4-11

vertical-cg

Input Parameters To Subproblem 4-12

wing-cg

input Parameters To Subproblem 4-13

main-landing-gear-cg

_5
Table 39. Subproblem3-12 Interfaces, cont.

Input Parameters To Subproblem 4-Iq

nose-landlng-gear-cg

Table 40. Design Relationships in Subproblem 3-13

trimmed-drag-polar is a function of:

trimmed-airplane-alpha

elevator-3d-geometry

trimmed-delta-e

cruise-3d-shape

Table 41. Subproblem 3-13 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-04

trimmed-drag-polar

SUCCESSORS

Output Parameters To Subproblem 4-08

trAmmed-drag-polar

elevator-3d-geometry

cruAse-3d-shape

trimmed-delta-e

trimmed-airplane-alpha

46
Table 42. Design Relationships in Subproblem 3-14

specific-fuel-consumption is a function of:

engine-net-thrust

Table 43. Subproblem 3-14 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-04

speclfic-fuel-consumptlon

SUCCESSORS

Output Parameters To Subproblem 4-08

engine-net-thrust

Table 44. Design Relationships in Subproblem 3-15

flight-design-gross-weight is a function of:

empty-welght

47
Table 45. Subproblem 3-15 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-05

empty-weight

SUCCESSORS

Output Parameters To Subproblem 4-08

flight-design-gross-weight

Table 46. Design Relationships in Subproblem 3-16

structural-weight is a function of:

main-landing-gear-structural-weight

nose-landing-gear-structural-weight

wing-structural-weight

fuselage-structural-welght

vertical-structural-weight

nacelle-pylon-structural-weight

horlzontal-structural-welght

Table 47. Subproblem 3-16 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-05

structural-welght

48
Table 47. Subproblem3-16 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 4-16

main-landing-gear-structural-weight

Input Parameters To Subproblem 4-23

nose-landing-gear-structural-weight

Input Parameters To Subproblem 4-17

wing-structural-weight

Input Parameters To Subproblem 4-15

fuselage-structural-weight

Input Parameters To Subproblem 4-22

vertical-structural-weight

Input Parameters To Subproblem 4-08

nacelle-pylon-structural-weight

Output Parameters To Subproblem 4-08

nacelle-pylon-structural-weight

Input Parameters To Subproblem 4-19

horizontal-structural-weight

49
Table 48. Design Relationshlps in Subproblem 3-17

control-system-weight is a function of:

elevator-actuator-weight

aileron-actuator-weight

rudder-actuator-weight

Table 49. Subproblem 3-17 Interfaces

PREDECESSORS

Output Parameters To Subproblem 2-05

control-system-welght

SUCCESSORS

Input Parameters To Subproblem 4-21

elevator-actuator-weight

Input Parameters To Subproblem 4-20

aileron-actuator-weight

Input Parameters To Subproblem 4-18

rudder-actuator-weight

5O
Table 50. Design Relationships in Subproblem 4-01

v-stall-landlng is a function of:

landing-gross-welght

landing-c-l-max

Table 51. Subproblem 4-01 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-08

landing-gross-weight

SUCCESSORS

Input Parameters To Subproblem 5-01

v-stall-landing

Output Parameters To Subproblem 5-01

v-stall-landing

Input Parameters To Subproblem 5-02

landing-c-l-max

Output Parameters To Subproblem 5-02

landing-c-l-max

51
Table 52. Design Relationships in Subproblem _-02

landing-desoent-gradient

low-speed -drag-polar

f-x-t

thrust-line

landir_-gross-weight

is a function of:

Table 53. Subproblem 4-02 Interfaces

PREDECESSORS

Input Parameters To Subproblem 3-05

low-speed-drag-polar

Output Parameters To Subproblem 3-05

low-spee_-drag-polar

input Parameters To Subproblem 3-02

f-x-t

thrust-line

Output Parameters To Subprcblem 3-02

f-x-t

thrust-line

Input Parameters To Subproblem 3-08

landing-gross-weight

Output Parameters To Subproblem 3-08

landing-gross-weight

52
Table 53. Subproblem 4-02 Interfaces, cont.

SUCCESSORS

Output Parameters To Subproblem 5-01

landing-descent-gradient

Table 54. Design Relationships in Subproblem 4-03

max-braking-nose-landing-gear-load is a function of:

v-touchdown

braking-effective-thrust

main-landing-gear-location

nose-landing-gear-location

landing-3d-shape

nose-landing-gear-location is an independent design parameter

Table 55. Subproblem 4-03 Interfaces

PREDECESSORS

Input Parameters To Subproblem 3-04

braking-effective-thrust

Output Parameters To Subproblem 3-04

braking-effective-thrust

Input Parameters To Subproblem 3-06

main-landing-gear-location

53
Table 55. Subproblem 4-03 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 5-03

max-braking-nose-landing-gear-load

Input Parameters To Subproblem 5-01

v-touchdown

Output Parameters To Subproblem 5-01

v-touchdown

Input Parameters To Subproblem 5-02

landing-3d-shape

Output Parameters To Subproblem 5-02

landing-3d-shape

Table 56. Design Relationships in Subproblem 4-04

adjusted-take-off-frlction-coefficient is a function of:

tire/runway-frictlon-coefficient

low-speed-drag-polar

take-off-c-l-max

54
Table 57. Subproblem 4-04 Interfaces

PREDECESSORS

Input Parameters To Subproblem 3-01

tire/runway-frlction-coefflcient

Input Parameters To Subproblem 3-05

low-speed-drag-polar

Output Parameters To Subproblem 3-05

low-speed-drag-polar

Input Parameters To Subproblem 3-03

take-off-c-l-max

Output Parameters To Subproblem 3-03

take-off-c-l-max

Table 58. Design Relationships in Subproblem 4-05

landing-brake-deceleration is a function of:

landing-gross-welght

braking-effectlve-thrust

v-approach

low-speed-drag-polar

55
Table 59. Subproblem 4-05 Interfaces

PREDECESSORS

Input Parameters To Subproblem 3-08

landing-gross-weight

Output Parameters To Subproblem 3-08

landing-gross-weight

Input Parameters To Subproblem 3-04

braking-effective-thrust

Output Parameters To Subproblem 3-04

braking-effective-thrust

Input Parameters To Subproblem 3-05

low-speed-drag-polar

Output Parameters To Subproblem 3-05

low-speed-drag-polar

SUCCESSORS

Output Parameters To Subproblem 5-01

v-approach

landing-brake-deceleration

56
Table 60. Design Relationships in Subproblem 4-06

landin6-equivalent-inertia-tlme

v-touchdown

landlng-gross-weight

f-x-t

thrust-line

is a function of:

Table 61. Subproblem 4-06 Interfaces

PREDECESSORS

Input Parameters To Subproblem 3-08

landing-gross-weight

Output Parameters To Subproblem 3-08

landing-gross-weight

Input Parameters To Subproblem 3-02

f-x-t

thrust-line

Output Parameters To Subproblem 3-02

f-x-t

thrust-line

SUCCESSORS

Output Parameters To Subproblem 5-01

landing-equivalent-inertia-time

v-touchdown

57
Table 62. Desi&n Relationships in Subproblem 4-07

maln.landing-gear-attach-polnt-dynamio-loads

maln-landir_-gear-deslgn-ooncept

landing-sink-rate

landing-gross-weight

is a function of:

Table 63. Subproblem 4-07 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-08

landing-gross-weight

SUCCESSORS

Input Parameters To Subproblem 5-14

main-landir_-gear-attach-point-dynamic-loads

main-landir_-gear-design-eoneept

Output Parameters To Subproblem 5-14

main-landing-gear-attach-point-dynamic-loads

main-landing-gear-design-concept

Input Parameters To Subproblem 5-01

landing-sink-rate

Output Parameters To Subproblem 5-01

landing-sink-rate

58
Table 64. Design Relationships in Subproblem _-08

airplane-ac is a function of:

wir_-body-ac

horizontal-c-l-alpha

wing-body-c-l-alpha

horizontal-area

wing-planform-area

horizontal-ac

downwash-alpha

static-margin is a function of:

airplane-cg

airplane-ac

trimmed-airplane-alpha is a function of:

cruise-3d-shape

horizontal-3d-shape

elevator-3d-geometry

phi-t

airp lane-ac

horizontal-ac

horizontal-location

trlmmed-delta-e

d-t

trimmed-delta-e is a function of:

cruise-3d-shape

horizontal-3d-shape

elevator-3d-geometry

phl-t

airplane-at

horizontal-ac

horizontal -location

trimmed -airplane-alpha

d-t

59
Table 64. Design Relationships in Subproblem 4-08, cont.

trlmmed-airplane-beta is a function of:

f-y-t

airplane-at

vertical-ac

vertical-location

vertical-3d-shape

wing -body -ac

wing-3d-shape

aileron-3d-geometry

rudder-3d-geometry

1-t

n-t

trimmed-airplane-delta-a

t rimmed-airplane-de lta-r

trimmed-airplane-delta-a is a function of:

f-y-t

airplane-ac

vertical-ac

vertica1-1ocation

vertical-3d-shape

wing-body-ac

win6-3d-shape

aileron-3d-geometry

rudder-3d-geometry

l-t

n-t

trimmed -airplane -beta

trimmed -airplane -delta -r

6O
Table 64. Design Relationships in Subproblem 4-08, cont.

tr_ed-airplane-delta-r is a function of:

f-y-t

airplane-ac

vertlcal-ac

vertical-location

vertloal-3d-shape

wing -body -ac

wing-3d-shape

aileron-3d-geometry

rudder-3d-geometry

l-t

n-t

trimmed -airp lane -de ita -a

trimmed -airplane-beta

short-period-natural-frequency

trimmed-drag-polar

cruise-3d-shape

horizontal-3d-shape

elevator-3d-geometry

thrust-line

engine -gross-thrust

installation-losses

airplane-ac

horizontal-ac

horizontal-location

i-y-y

is a function of:

short-period-damping-ratio

trimmed-drag-polar

cruise-3d-shape

horizontal-3d-shape

elevator-3d-geometry

thrust-line

engine-gross-thrust

installation-losses

airplane-ac

horizontal-ac

horizontal-location

is a function of:

61
Table 64. Design Relationships in Subproblem 4-08, cont.

short-period-damping-ratio is a function of: (cont.)

i-y-y

phugoid-natural-frequency

trimmed-drag-polar

oruise-3d-shape

horizontal-3d-shape

elevator-3d-geometry

thrust-line

-ermine-gross-thrust

installation-losses

airplane-at

horizontal-ac

horizontal-locatlon

i-y-y

is a function of:

phugoid-damping-ratio is a function of:

trimmed -drag-polar

cruise-3d-shape

horizontal-3d-shape

elevator-3d-geometry

thrust-line

engine-gross-thrust

installation-losses

airplane-ac

horizontal-ac

horizontal-location

i-y -y

62
Table 64. Design Relationships in Subproblem 4-08, cont.

spiral-natural-frequency is a function of:

airplane-ac

vertical-ac

vertical-location

vertical-3d-shape

cruise-3d-shape

wing -body -ac

win6-3d-shape

aileron-3d-geometry

rudder-3d-geometrY

i -x -x

i-z-z

spiral-damping-ratio is a function of:

airplane-ac

vertical-ac

vertical-location

vertical-3d-shape

cruise-3d-shape

wing-body-ac

wing-3d-shape

aileron-3d-geometry

rudder-3d-geometry

i-x-x

i-Z-Z

roll-natural-frequency

airplane-ac

vertical-ac

vertical -location

vertical-3d-shape

cruise-3d-shape

wing-body-ac

wing-3d-shape

aileron-3d-geometry

rudder-3d-geometry

i-X-X

i-z-z

is a function of:

63
Table 64. Design Relationships in $ubproblem 4-08, cont.

roll-damping-ratlo is a function of:

airplane-ac

vertical-ac

vertical-location

vertical-3d-shape

cruise-3d-shape

wing-body-ac

wing-3d-shape

aileron-3d-geometry

rudder-3d-geometry

i-x -x

i-z-z

dutch-roll-natural-frequency is a function of:

airplane-ac

vertical-ac

vertical-location

vertical-3d-shape

cruise-3d-shape

wing-body-ac

wing-3d-shape

aileron-3d-geometry

rudder-3d,geometry

i-x-x

i-z-z

dutch-roll-dampir_-ratio

airplane-ac

vertical-ac

vertical -location

vertical-3d-shape

cruise-3d-shape

wing-body-ac

wing-3d-shape

aileron-3d-geometry

rudder-3d-geometry

i-x-x

i-z-z

is a function of:

64
Table 64. Design Relationshlps in Subproblem 4-08, cont.

elevator-actuator-rate is a function of:

design-pitch -rate

short -period -natural-frequency

short -period -damping-ratio

phugoid -natural -frequency

phugoid-damping-rat io

cruise-3d-shape

horizontal-3d-shape

elevator- 3d -geometry

airplane-ac

horizontal-ac

horizontal -location

i-y-y

flight -design-gross -weight

aileron-actuator-rate is a function of:

design-roll-rate

design-yaw-rate

dutch -roll -natural -frequency

dutch-roll -damping -ratio

cruise-3d-shape

airplane-ac

wing -body -ac

vertical-ao

vertical-location

vertical-3d-shape

wing-3d-shape

aileron-3d-geometry

i-X-X

i-x-z

i-z-z

flight -design -gross -weight

65
Table 64. Design Relationships in Subproblem 4-08, cont.

rudder-actuator-rate is a function of:

design-roll-rate

design-yaw-rate

dutch -roll -natural -frequency

dutch-roll-damping-rat io

cruise-3d-shape

airplane-ac

vertical-ac

vertical -location

vertical-3d-shape

rudder-3d-geometry

i-x-x

i-x-z

i-z-z

flight -design-gross -weight

horizontal-ac is a function of:

horizontal-3d-shape

cruise-3d-shape is a function of:

wing-fuselage-3d-shape

nacelle-3d-shape

pylon-3d-shape

vertical-3d-shape

vertlcal-location

horizontal-3d-shape

horizontal-location

horizontal-3d-shape is a function of:

horizontal-airfoil-section

horizontal-area

horizontal-sweep-angle

horizontal-taper-ratio

horizontal-aspect-ratio

elevator-3d-geometry is an independent design parameter

66
Table 64. Design Relationships in Subproblem 4-08, cont.

phl-t is a function of:

thrust-line

d-t is a function of:

thrust-line

f-y-t is a function Of:

thrust-line

engine-net-thrust

1-t is a function of:

thrust-line

engine-net-thrust

n-t is a function of:

thrust-line

engine-net-thrust

take-off-3d-shape is a function of:

cruise-3d-shape

high-lift-device-3d-geometry

take-off-flap-setting

wing-fuselage-3d-shape

wing-3d-shape

fuselage-3d-shape

is a function of:

67
Table 64. Design Relationships in Subproblem 4-08, cont.

engine-net-thrust is a function of:

engine-gross-thrust

engine-bleed

power-extraction

installation-losses

high-lift-device-3d-geometry is an independent design parameter

pylon-attach-point-loads-cruise is a function of:

nacelle-pylon-structural-geometry

nacelle-pylon-structural-welght

nacelle-pylon-structure-elastic-properties

nacelle-pylon-structure-moments-of-inertla

engine-net-thrust

thrust-line

engine-mount-locations

nacelle-pylon-aerodynamic-loads

pylon-attach-point-loads-pull-up is a function of:

nacelle-pylon-structural-geometry

nacelle-pylon-structural-welght

nacelle-pylon-structure-elastic-properties

nacelle-pylon-structure-moments-of-inertla

engine-net-thrust

thrust-line

engine-mount-locations

nacelle-pylon-aerodynamic-loads

pylon-attach-point-loads-turn is a function of:

nacelle-pylon-structural-geometry

nacelle-pylon-structural-weight

nacelle-pylon-structure-elastic-properties

nacelle-pylon-structure-moments-of-inertia

engine-net-thrust

thrust-line

engine-mount-locations

nacelle-pylon-aerodynamic-loads

68
Table 64. Design Relationships in Subproblem 4-08, cont.

nacelle-pylon-structural-weight is an independent design parameter

horizontal-airfoil-section is an independent design parameter

horizontal-sweep-angle is an independent design parameter

horizontal-taper-ratio is an independent design parameter

horizontal-aspect-ratio is an independent design parameter

engine-mount-locations is an independent design parameter

engine-gross-thrust is an independent design parameter

engine-bleed is an independent design parameter

nacelle-pylon-structural-geometry is an independent design parameter

nacelle-pylon-structure-elastic-properties is an independent design parameter

nacelle-pylon-structure-moments-of-inertia is an independent design parameter

design-pitch-rate is an independent design parameter

design-roll-rate is an independent design parameter

design-yaw-rate is an independent design parameter

take-off-flap-setting is an independent design parameter

69
Table 65. Subproblem 4-08 Interfaces

PREDECESSORS

Input Parameters To Subproble= 3-10

wing-body-ac

wing-fuselage-3d-shape

Input Parameters To Subproblem 3-12

airplane-cg

horizontal-area

horizontal-ac

Output Parameters To Subproblem 3-12

airplane-cg

horizontal-area

horizontal-ac

Input Parameters To Subproblem 3-13

trimmed-drag-polar

elevator-3d-geometry

cruise-3d-shape

trimmed-delta-e

trimmed-airplane-alpha

Input Parameters To Subproblem 3-02

thrust-line

engine-net-thrust

Output Parameters To Subproblem 3-02

thrust-line

engine-net-thrust

Input Parameters To Subproblem 3-15

flight-design-gross-weight

7O
Table 65. Subproblem 4-08 Interfaces, eont,

Input Parameters To Subproblem 3-05

high-lift-device-3d-geometry

crulse-3d-shape

Output Parameters To Subproblem 3-05

high-lift-device-3d-geometry

cruise-3d-shape

Input Parameters To Subproblem 3-09

horizontal-3d-shape

Input Parameters To Subproblem 3-03

take-off-3d-shape

Output Parameters To Subproblem 3-03

take-off-3d-shape

Input Parameters To Subproblem 3-11

wing-fuselage-3d-shape

Input Parameters To Subproblem 3-14

engine-net-thrust

Input Parameters To Subproblem 3-16

nacelle-pylon-structural-weight

Output Parameters To Subproblem 3-16

nacelle-pylon-structural-weight

71
Table 65. Subproblem 4-08 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 5-07

horizontal-c-l-alpha

horizontal-3d-shape

Input Parameters To Subproblem 5-04

wing-body-c-l-alpha

wlng-fuselage-3d-shape

i

Input Parameters To Subproblem 5-14

wing-planform-area

downwash-alpha

aileron-3d-geometry

fuselage-3d-shape

wing-3d-shape

power-extraction

rudder-3d-geometry

vertlcal-3d-shape

vertical-ac

nacelle-pylon-structural-weight

pylon-attach-polnt-loads-turn

pylon-attach-polnt-loads-pull-up

pylon-attach-point-loads-cruise

elevator-3d-geometry

horlzontal-3d-shape

cruise-3d-shape

rudder-actuator-rate

aileron-actuator-rate

elevator-actuator-rate

72
Table 65. Subproblem 4-08 Interfaces, cont.

OutputParameters To Subproblem 5-14

wing-planform-area

downwash-alpha

aileron-3d-geometry

fuselage-3d-shape

wing-3d-shape

power-extraction

rudder-3d-geometry

vertical-3d-shape

vertical-ac

nacelle-pylon-structural-weight

pylon-attach-point-loads-turn

pylon-attach-point-loads-pull-up

pylon-attach-point-loads-cruise

elevator-3d-geometry

horizontal-3d-shape

cruise-3d-shape

rudder-actuator-rate

aileron-actuator-rate

elevator-actuator-rate

Input Parameters To Subproblem 5-06

cruise-3d-shape

static-margin

Input Parameters To Subproblem 5-15

horizontal-location

Input Parameters To Subproblem 5-13

vertical-location

Input Parameters To.Subproblem 5-05

installation-losses

Input Parameters To Subproblem 5-17

i-x -x

i-y-y

i-z-z

i-x -z

73
Table 65. Subproblem 4-08 Interfaces, cont.

Output Parameters To Subproblem 5-17

i-x-x

i-y-y

i-Z-Z

i-x-z

Input Parameters To Subproblem 5-09

cruise-3d-shape

Input Parameters To Subproblem 5-10

cruise-3d-shape

Input Parameters To Subproblem 5-11

cruise-3d-shape

Input Parameters To Subproblem 5-02

high-li ft-device-3d-geometry

cruise-3d-shape

Output Parameters To Subproblem 5-02

high-lift-device-3d-geometry

cruise-3d-shape

Input Parameters To Subproblem 5-08

pylon-3d-shape

nace 11e-pylon-aerodynamic-loads

nacelle-3d-shape

Input Parameters To Subproblem 5-18

elevator-3d-geometry

horlzontal-3d-shape

Input Parameters To Subproblem 5-12

elevator-3d-geometry

74
Table 65. Subprobiem 4-08 Interfaces, cont.

Input Parameters To Subproblem 5-16

elevator-3d-geometry

Table 66. Design Relationships in Subproblem 4-09

fuselage-cg is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-weight

fuselage-skin-3d-geometry

fuselage-skln-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-weight

Table 67. Subproblem 4-09 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-12

fuselage-cg

SUCCESSORS

Input Parameters To Subproblem 5-17

fuselage-cg

Output Parameters To Subproblem 5-17

fuselage-cg

75
Table 67. Subproblem 4-09 Interfaces, cont.

Input Parameters To Subproblem 5-14

fuselage-skin-weight

fuselage-skln-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

Output Parameters To Subproblem 5-14

fuselage-skin-weight

fuselage-skln-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

Table 68. Design Relationships in Subproblem 4-10

horlzontal-c_ is a function of:

horizontal-structural-arrangement

horizontal-rlb-3d-geometry

horizontal-rib-weight

horlzontal-spar-3d-geometry

horizontal-spar-weight

horizontal-stiffener-3d-geometry

horizontal-stiffener-weight

horizontal-skin-3d-geometry

horizontal-skin-weight

76
Table 69. Subproblem 4-10 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-12

horizontal-cg

SUCCESSORS

Input Parameters To Subproblem 5-17

horizontal-cg

Output Parameters To Subproblem 5-17

horizontal-cg

Input Parameters To Subproblem 5-14

horizontal-skin-weight

horizontal-stiffener-weight

horizontal-spar-weight

horizontal-rib-weight

horizontal-skin-3d-geometry

horizontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horlzontal-rlb-3d-geometry

horlzontal-s%ructural-arrangement

Output Parameters To Subproblem 5-14

horizontal-skin-weight

horizontal-stiffener-weight

horizontal-spar-weight

horizontal-rib-weight

horizontal-skin-3d-geometry

horizontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horizontal-rib-3d-geometry

horizontal-structural-arrangement

77
Table 70. Design Relationships in Subproblem 4-11

vertical-eg is a function of:

vertical-structural-arrangement

vertical-rib-3d-geometry

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-weight

vertical-stlffener-3d-geometry

vertical-stlffener-weight

vertical-skin-3d-geometry

vertical-skin-weight

Table 71. Subproblem 4-11 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-12

vertical-cg

SUCCESSORS

Input Parameters To Subproblem 5-17

vertical-cg

Output Parameters To Subproblem 5-17

vertical-cg

78
Table 71. Subproblem4-11 Interfaces, cont.

Input Parameters To Subproblem 5-14

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertlcal-stiffener-3d-geometry

vertlcal-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

Output Parameters To Subproblem 5-14

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

Table 72. Design Relationships in Subproblem 4-12

wing-cg is a function of:

wing-structural-arrangement

wing-rib-3d-geometry

wang-rib-weight

w_ng-spar-3d-geometry

wang-spar-weight

w%ng-stiffener-3d-geometry

wang-stiffener-weight

w_ng-skin-Bd-geometry

w%ng-skin-weight

79
Table 73. Subproblem 4-12 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-12

wir_-cg

SUCCESSORS

Input Parameters To Subproblem 5-17

wing-cg

Output Parameters To Subproblem 5-17

wing-cg

Input Parameters To Subproblem 5-14

w%ng-skin-weight

w%r_-stiffener-weight

w%r_-spar-weight

w%r_-rib-weight

w%r_-skin-3d-geometry

w%ng-stlffener-3d-geometry

w%ng-spar-3d-geometry

w%r_-rib-3d-geometry

w_r_-structural-arrangement

Output Parameters To Subproblem 5-14

wing-skin-weight

wing-stiffener-weight

wing-spar-weight

wing-rib-weight

wlng-skln-3d-geometry

wing-stlffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry.

wing-structural-arrangement

8O
Table 74. Design Relationships in Subproblem 4-13

main-landing-gear-cg is a function of:

main-landing-gear-3d-geometry

Table 75. Subproblem 4-13 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-12

main-landing-gear-cg

SUCCESSORS

Input Parameters To Subproblem 5-17

main-landing-gear-cg

Output Parameters To Subproblem 5-17

main-landing-gear-cg

Input Parameters To Subproblem 5-14

main-landing-gear-3d-geometry

Output Parameters To Subproblem 5-14

main-landing-gear-3d-geometry

81
Table 76. Design Relationships in Subproblem 4-14

nose-landins-gear-og is a function of:

nose-landing-gear-3d-geometry

Table 77. Subproblem 4-14 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-12

nose-landing-gear-cg

SUCCESSORS

Input Parameters To Subproblem 5-17

nose-landing-gear-cg

Output Parameters To Subproblem 5-17

nose-landing-gear-cg

Input Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

Output Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

82
Table 78. Design Relationships in _ubproblem 4-15

fuselage-structural-weight is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-weight

fuselage-skin-3d-geometry

fuselage-skin-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-weight

Table 79. Subproblem 4-15 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-16

fuselage-structural-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

fuselage-skin-weight

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-Sd-geometry

fuselage-structural-arrangement

83
Table 80. Design Relationships in Subproblem 4-16

main-landing-gear-structural-weight is a function of:

main-landing-gear-3d-geoeetry

Table 81. Subproblem 4-16 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-16

main-landing-gear-structural-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

maln-landing-gear-structural-weight

main-landing-gear-3d-geometry

Table 82. Design Relationships in Subproblem 4-17

wing-structural-weight is a function of:

wing-structural-arrangement

wing-rib-3d-geometry

wing-rib-weight

wing-spar-3d-geometry

wing-spar-weight

wing-stiffener-3d-geometry

wing-stiffener-welght

wing-skln-3d-geometry

wing-skin-weight

84
Table 83. Subproblem 4-17 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-16

wlng-structural-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

wang-skin-weight

wang-stiffener-weight

wang-spar-weight

w_ng-rib-weight

wang-skin-3d-geometry

w_ng-stiffener-3d-geometry

w_ng-spar-3d-geometry

w_ng-rib-3d-geometry

w_ng-structural-arrangement

Table 84. Design Relationships in Subproblem 4-18

rudder-actuator-weight is a function of:

rudder-actuator-geometry

85
Table 85. Subproblem 4-18 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-17-

rudder-actuator-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

rudder-actuator-geometry

Table 86. Design Relationships in Subproblem 4-19

horizontal-structural-weight is a function of:

horizontal-structural-arrangement

horizontal-rib-3d-geometry

horlzontal-rib-welght

horizontal-spar-3d-geometry

horlzontal-spar-welght

horizontal-stiffener-3d-geometry

horizontal-stiffener-weight

horlzontal-skin-3d-geometry

horizontal-skin-weight

86
Table 8?. Subproblem 4-19 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-16

horizontal-structural-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

horizontal-skin-welght

horizontal-stiffener-welght

horizontal-spar-weight

hormzontal-rib-weight

horizontal-skin-3d-geometry

hormzontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horizontal-rib-3d-geometry

horlzontal-structural-arrangement

Table 88. Design Relationships in Subproblem 4-20

aileron-actuator-weight is a function of:

aileron-actuator-geometry

87
Table 89. Subproblem 4-20 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-17

aileron-actuator-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

aileron-actuator-geometry

Table 90. Design Relationships in Subproblem 4-21

elevator-actuator-weight is a function of:

elevator-actuator-geometry

Table 91. Subproblem 4-21 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-17

elevator-actuator-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

elevator-actuator-geometry

88
Table 92. Design Relationships in Subproblem 4-22

vertlcal-structural-welght is a function of:

vertlcal-structural-arrangement

vertlcal-rlb-3d-geometry

vertlcal-rib-weight

vertical-spar-3d-geometry

vertlcal-spar-weight

vertlcal-stiffener-3d-geometry

vertical-stiffener-weight

vertical-skin-3d-geometry

vertical-skin-weight

Table 93. Subproblem 4-22 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-16

vertical-structural-weight

SUCCESSORS

Output Parameters To Subproblem 5-14

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

89
Table 94. Design Relationships in Subproblem 4-23

nose-landlng-gear-structural-weight is a function of:

nose-landlng-gear-3d-geometry

Table 95. Subproblem 4-23 Interfaces

PREDECESSORS

Output Parameters To Subproblem 3-16

nose-landlng-gear-structural-weight

SUCCESSORS

Output Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

Table 96. Design Relationships in Subproblem 5-01

v-approach is a function of:

v-stall-landing

landing-sinkrrate is a function of:

v-approach

landing-descent-gradient

9O
Table 96. Design Relationships in Subproblem 5-01, cont.

v-touchdown is a function of:

v-approach

landing-descent-gradient

flare-load-factor

landing-distance-from-screen-to-touchdown

v-approach

v-touchdown

landing-descent-gradient

is a function of:

landing-distance-from-touchdown is a function of:

v-touchdown

landing-brake-deceleration

landing-equivalent-inertla-time

flare-load-factor is an independent design parameter

Table 97. Subproblem 5-01 Interfaces

PREDECESSORS

Input Parameters To Subproblem 4-05

v-approach

landing-brake-deceleration

Input Parameters To Subproblem 4-01

v-stall-landing

Output Parameters To Subproblem 4-01

v-stall-landing

91
Table 97. Subproblem 5-01 Interfaces, cont.

Input Parameters To Subproblem 4-07

landln6-sink-rate

Output Parameters To Subproblem 4-07

landing-sink-rate

Input Parameters To Subproblem 4-02

landing-descent-gradient

Input Parameters To Subproblem 4-06

landing-equivalent-lnertia-tlme

v-touchdown

Input Parameters To Subproblem 4-03

v-touchdown

Output Parameters To Subproblem 4-03

v-touchdown

SUCCESSORS

Input Parameters To Subproblem 6-0]

landing-distance-from-touchdown

landln6-dlstance-from-screen-to-touchdown

92
Table 98. Design Relationships in Subproblem 5-02

landing-3d-shape ks a function of:

cruise-3d-shape

high-lift-device-3d-geometry

landing-flap-setting

landing-c-l-max is a function of:

landing-3d-shape

landing-flap-setting ks an independent design parameter

Table 99. Subproblem 5-02 Interfaces

PREDECESSORS

Input Parameters To Subproblem 4-03

landing-3d-shape

Output Parameters To Subproblem 4-03

landing-3d-shape

Input Parameters To Subproblem 4-08

high-lift-device-3d-geometry

cruise-3d-shape

Output Parameters To Subproblem 4-08

high-lift-device-3d-geometry

cruise-3d-shape

Input Parameters To Subproblem 4-01

landing-c-l-max

93
Table 99. Subproblem 5-02 Interfaces, cont.

Output Parameters To 3ubproblem 4-01

landlng-c-l-max

Table 100. Design Relationships in Subproblem 5-03

nose-landing-gear-attach-point-loads is a function of:

max-braking-nose-landing-gear-load

nose-landing-gear-design-concept

Table 101. Subproblem 5-03 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-03

max-braking-nose-landing-gear-load

SUCCESSORS

Output Parameters To Subproblem 6-I0

nose-landing-gear-design-concept

94
Table 102. Design Relationships in Subproblem 5-04

wing-body-c-l-alpha is a function of:

wing-fuselage-3d-shape

Table 103. Subproblem 5-04 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

wing-body-c-l-alpha

wing-fuselage-3d-shape

Table 104. Design Relationships in Subproblem 5-05

installation-losses is a function of:

inlet-pressure-recovery "

inlet-distortion

ram-drag

boattail-drag

Table 105. Subproblem 5-05 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

installation-losses

95
Table 105. Subproblem 5-05 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 6-02

inlet-pressure-recovery

Input Parameters To Subproblem 6-03

inlet-distortion

Input Parameters To Subproblem 6-04

ram-drag

Output Parameters To Subproblem 6-04

ram-drag

Input Parameters To Subproblem 6-05

boattail-drag

Tabl_ 106. Design Relationships in Subproblem 5-06

airplane-c-l-alpha is a function of:

cruise-3d-shape

alrplane-c-m-alpha is a function of:

airplane-c-l-alpha

static-margin

96
Table 107. Subproblem 5-06 Lcter#aces

PREDECESSORS

Output Parameters To Subproblem 4-08

cruise-3d-shape

static-margin

Table 108. Design Relationships in Subproblem 5-07

horizontal-c-l-alpha is a function of:

horizontal-3d-shape

Table 109. Subproblem 5-07 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

horizontal-c-l-alpha

horizontal-3d-shape

Table 110. Design Relationships in Subproblem 5-08

nacelle-3d-shape is an independent design parameter

nacelle-pylon-aerodynamlc-loads

nacelle-3d-shape

pylon-3d-shape

is a function of:

97
Table 110. Design Relationships in Subproblem 5-08, cont.

pylon-3d-shape is an independent design parameter

Table 111. Subproblem 5-08 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

pylon-3d-shape

nacelle-pylon-aerodynamic-loads

nacelle-3d-shape

SUCCESSORS

Output Parameters To Subproblem 6-04

nacelle-3d-shape

Table 112. Design Relationships in Subproblem 5-09

fuselage-aerodynamic-loads-crulse is a function of:

cruise-3d-shape

98
Table 113. Subproblem 5-09 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

cruise-3d-shape

SUCCESSORS

Output Parameters To Subproblem 6-06

fuselage-aerodynamic-loads-cruise

Table 114. Design Relationships in Subproblem 5-10

horizontal-aerodynamic-loads-cruise is a function of:

cruise-3d-shape

Table 115. Subproblem 5-10 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

cruise-3d-shape

SUCCESSORS

Output Parameters To Subproblem 6-06

horizontal-aerodynamic-loads-cruise

99
Table 116. Design Relationships in Subproblem 5-11

vertical-aerodynamlc-loads-cruise is a function of:

orulse-3d-shape

Table 117. Subproblem 5-11 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

crulse-3d-shape

SUCCESSORS

Output Parameters To Subproblem 6-06

vertical-aeRodynamlc-loads-cruise

Table 118. Design Relationships in Subproblem 5-12

alpha-pull-up is a function of:

load-factor

elevator-3d-geometry

maneuvering-3d-shape-pull-up

IO0
Table 119. Subproblem 5-12 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

elevator-3d-geometry

SUCCESSORS

Input Parameters To Subproblem 6-18

load-factor

Output Parameters To Subproblem 6-18

load-factor

Input Parameters To Subproblem 6-06

maneuverin_-3d-shape-pull-up

Output Parameters To Subproblem 6-06

maneuvering-3d-shape-pull-up

Table 120. Design Relationships in Subproblem 5-13

vertical-locatlon is an independent design parameter

101
Table 121. Subproblem 5-13 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

vertical-location

SUCCESSORS

Output Parameters To Subproblem 6-06

vertlcal-locatlon

Table 122. Design Relationships in Subproblem 5-14

vertical-ac is a function of:

vertical-3d-shape

vertical-3d-shape is a function of:

vertical-airfoil-section

vertical-area

vertlcal-sweep-angle

vertical-taper-ratio

vertical-aspect-ratio

vertical-skin-3d-geometry is a function of:

vertical-3d-shape

102
Table 122. Design Relationships in Subproblem 5-14, cont.

rudder-actuator-geometry is a function of:

hydraulic-system-pressure

rudder-max-hir_e-moment

vertical-structural-arrangement

rudder-3d-geometry

vertical-3d-shape

vertical-skin-weight is a function of:

vertical-skin-3d-geometry

aircraft-normal-mode-shapes-flight is a function of:

vertical-structural-arrangement

horizontal-structural-arrar_ement

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-rib-weight

vertical-spar-weight

vertical-stiffener-weight

vertical-skin-weight

vertlcal-rib-moments-of-inertia

vertical-spar-moments-of-inertia

vertical-stiffener-moments-of-inertia

vertical-skin-moments-of-inertia

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-skin-3d-geometry

.horizontal-skin-elastic-properties

103
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-shapes-flight is a function of: (cont.)

horlzontal-rlb-weight

horizontal-spar-weight

horizontal-stiffener-weight

horizontal-skin-weight

horizontal-rib-moments-of-inertla

horizontal-spar-moments-of-inertla

horizontal-stiffener-moments-of-inertia

horizontal-skin-moments-of-inertia

wing-structural-arrangement

nacelle-pylon-structural-weight

wing-rib-3d-geometry

wing-rib-elastic-propertles

_ing-spar-3d-geometry

wing-spar-elastlc-propertles

wlng-stiffener-3d-geometry

w_ng-stiffener-elastic-properties

w_ng-skin-3d-geometry

w_ng-skin-elastic-properties

w_ng-rib-weight

w_ng-spar-weight

w_ng-stiffener-weight

wlng-skin-weight

wlng-rib-moments-of-inertia

w_ng-spar-moments-of-inertia

wlng-etiffener-moments-of-inertia

wlng-skin-moments-of-inertia
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-shapes-fllght is a function of: (cont.)

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastlc-properties

fuselage-frame-moments-of-lnertia

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

105
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-frequencies-flight is a function of:

vertical-structural-arrangement

horizontal-structural-arrangement

vertioal-rib-3d-geometry

vertical-rib-elastic-properties

vertioal-spar-3d-geometry

vertical-spar-elastic-properties

vertioal-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-rib-weiKht

vertical-spar-weight

vertical-stiffener-weight

vertical-skin-weight.

vertical-rib-moments-of-inertia

vertical-spar-moments-of-inertia

vertical-stiffener-moments-of-inertia

vertical-skin-moments-of-inertia

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-stlffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

106
Table 122. Design Relationships in Subproblem 5-14, cont.

alreraft-nor_al-mode-frequenoles-fllght is a function of: (cont.)

borlzontal-rlb-welght

horlzontal-spar-welght

horlzontal-stlffener-welght

horIzontal-skin-welght

horizontal-rib-moments-of-lnertia

horizontal-spar-moments-of-inertia

horizontal-stiffener-moments-of-lnertia

horizontal-skin-moments-of-lnertla

wing-structural-arrangement

nacelle-p>lon-stru_tural-weigbt

wing-rib-3d-geometry

wlng-rib-elastic-propertles

w_ng-spar-3d-geometry

wlng-spar-elastic-properties

w_ng-stiffener-3d-Eeometry

wlng-stiffener-elastic-properties

w_ng-skin-3d-geometry

w_ng-skin-elastic-propertles

w_ng-rib-weight

w_ng-spar-welgbt

wzng-stiffener-weight

wzng-skin-weight

w_ng-rib-moments-of-inertia

wzng-spar-moments-of-inertla

wzng-stiffener-moments-of-inertla

w_ng-skin-moments-of-inertia

107
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-frequencies-flight is a function of: (cont.)

fuselage-structural-arrangement

fuselage-frame-Sd-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-lnertia

fuselage-frame-weight

fuselage-stiffener-Sd-geometry

fuselage-stlffener-elastlc-propertles

fuselage-stiffener-moments-of-inertla

fuselag_-stlffener-weight

fuselage-skin-Sd-geometry

fuselage-skin-elastic-propertles

fuselage-skln-moments-of-lnertia

fuselage-skln-welght

108
Table 122.

aircraft-normal-mode-shapes-landlng is a function

Design Relationships in Subproblem 5-14, cont.

of:

vertical-structural-arrangement

horizontal-structural-arrangement

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-stlffener-3d-geometry

vertlcal-stlffener-elastic-propertles

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-rlb-weight

vertlcal-spar-weight

vertical-stiffener-weight

vertical-skin-weight

vertical-rlb-moments-of-lnertla

vertlcal-spar-moments-of-lnertia

vertical-stiffener-moments-of-inertia

vertical-skin-moments-of-inertia

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-spar-3d-geometry

horizontal-spar-elastic-propertles

horizontal-stiffener.3d-geometry

horlzontal-stlffener-elastic-propertles

horlzontal-skln-3d-geometry

horlzontal-skin-elastlc-propertles

109
Table 122. Design Relationships in Subproblem 5-14, cont.

alrcraft-normal-mode-shapes-landing is a function of: (cont.)

horlzontal-rlb-welght

horlzontal-spar-welght

horizontal-stiffener-welght

horizontal-skin-weight

horlzontal-rib-moments-of-lnertla

horizontal-spar-moments-of-inertia

horizontal-stiffener-moments-of-inertla

horizontal-skln-moments-of-lnertia

wing-structural-arrangement

nacelle-pylon-structural-weight

wlng-rlb-3d-geometry

wing-rib-elastlc-propertles

wing-spar-3d-geometry

wing-spar-elastlc-propertles

wing-stiffener-3d-geometry

wing-stlffener-elastlc-properties

wlng-skin-3d-geometry

wing-skin-elastic-propertles

wlng-rib-welght

wing-spar-weight

wing-stlffener-weight

wlng-skin-weight

wing-rlb-moments-of-lnertla

wlng-spar-moments-of-inertla

wlng-stiffener-moments-of-lnertla

wing-skin-moments-of-lnertla

110
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-shapes-landing is a function of: (cont.)

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-lnertia

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stlffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

main-landing-gear-moments-of-inertia

main-landing-gear-3d-geometry

main-landing-gear-structural-weight

main-landing-gear-design-concept

111
Table 122. Design Relationships in Subproblem

alrcraft-normal-mode-frequencies-landing is a

vert

hori

vert

vert

vert

vert

vert

vert

ical-structural-arrangement

zontal-structural-arrangement

ioal-rib-3d-geometry

ical-rib-elastic-properties

ical-spar-3d-geometry

ical-spar-elastic-properties

ical-stiffener-3d-geometry

ical-stiffener-elastic-properties

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-rib-weight

vertical-spar-weight

vertical-stiffener-weight

vertical-skin-weight

vertical-rib-moments-of-inertia

vertical-spar-moments-of-inertia

vertical-stiffener-moments-of-inertia

vertical-skin-moments-of-inertia

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-skin-3d-geometry

horlzontal-skln-elastic-properties

5-14, cont.

function of:

112
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-frequencies-landing is a function of: (cont.)

horizontal-rlb-weight

horizontal-spar-weight

horizontal-stiffener-weight

horizontal-skin-weight

horizontal-rib-moments-of-inertia

horizontal-spar-moments-of-inertia

horizontal-stiffener-moments-of-inertia

horizontal-skin-moments-of-inertia

wing-structural-arrangement

nacelle-pylon-structural-weight

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-stiffener-3d-geometry

wlng-stiffener-elastic-properties

wing-skin-3d-geometry

win&-skin-elastic-properties

wing-rib-weight

wing-spar-weight

wing-stiffener-weight

wing-skin-weight

wing-rib-moments-of-inertia

wing-spar-moments-of-inertia

wing-stiffener-moments-of-inertia

wing-skin-moments-of-inertia

113
Table 122. Design Relationships in Subproblem 5-14, cont.

aircraft-normal-mode-frequencies-landing is a function of: (cont.)

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skln-moments-of-inertia

fuselage-skin-weight

main-landing-gear-moments-of-inertia

main-landing-gear-3d-geometry

main-landing-gear-structural-weight

main-landing-gear-design-concept

contr ol-system-power-requirement is a function of:

elevator-actuator-geometry

aileron-actuator-geometry

rudder-actuator-geometry

elevator=actuator-rate

aileron=actuator-rate

rudder-actuator-rate

hydraulic-system-pressure

vertical-structural-arrangement is an independent design parameter

rudder-3d-geometry is an indepenaent design parameter

horizontal-structural-arrangement is an independent design parameter

vertical-rib-3d-geometry is an independent design parameter

114
Table 122. Design Relationships in Subproblem 5-14, cont.

vertical-spar-3d-geometry is an independent design parameter

vertical-stiffener-3d-geometry is an independent design parameter

vertical-rib-weight is a function of:

vertical-rib-3d-geometry

vertical-spar-weight is a function of:

vertical-spar-3d-geometry

vertical-stiffener-weight is a function of:

vertical-stiffener-3d-geometry

horizontal-rib-3d-geometry is an independent design parameter

horizontal-spar-3d-geometry is an independent design parameter

horizontal-stiffener-3d-geometry is an independent design paramete

horizontal-skin-3d-geometry

horizontal-3d-shape

is a function of:

horizontal-rib-weight is a function of:

horizontal-rib-3d-geometry

horizontal-spar-weight is a function of:

horizontal-spar-3d-geometry

115
Table 122. Design Relationships in Subproblem

horlzontal-stiffener-weight is a function of:

horizontal-stiffener-3d-geometry

5-14, cont.

horizontal-skin-weight is a function of:

horizontal-skin-3d-geometry

wing-structural-arrangement is an independent design parameter

wing-rib-3d-geometry is an independent design parameter

wing-spar-3d-geometry is an independent design parameter

wing-stiffener-3d-geometry is an independent design parameter

wing-skin-3d-geometry

wing-3d-shape

is a function of:

wing-rib-weight is a function of:

wing-rib-3d-geometry

wing-spar-weight is a function of:

wing-spar-3d-geometry

wlng-stiffener-weight is a function of:

wing-stiffener-3d-geometry

wing-skin-weight is 'a function of:

wing-skin-3d-geometry

116
Table 122. Design Relationships in Subproblem 5-14, cont.

fuselage-structural-arrangement is an independent design parameter

fuselage-frame-3d-geometry is an independent design parameter

fuselage-frame-weight is a function of:

fuselage-frame-3d-geometry

fuselage-stiffener-3d-geometry is an independent design parameter

fuselage-stiffener-weight is a function of:

fuselage-stiffener-3d-geometry

fuselage-skin-3d-geometry

fuselage-3d-shape

is a function of:

fuselage-skin-weight is a function of:

fuselage-skin-3d-geometry

wing-skin-deformatlons-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

wing-spar-deformations-landing is a function of:

maln-landlng-gear-attaoh-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

alrcraft-normal-mode-frequencies-landing

117
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-rib-deformations-landing is a function of:

main-landing-gear-attach-point-dynamlc-loads

alrcraft-quasl-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

wing-stiffener-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

fuselage-skin-defDrmations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

airoraft-quasi-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

fuselage-frame-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-landing

alrcraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

fuselage-stiffener-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

horizontal-skin-deformatlons-landing is a function of:

maln-landing-gear-attach-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loaos-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencles-landlng

118
Table 122. Design Relationships in Subproblem 5-14, cont.

horizontal-spar-deformations-landing is a function of:

main.landing-gear-attach-point-dynamic-loads

alrcraft.quas_-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

horizontal-rib-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasl-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencles-landing

horizontal-stiffener-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quas_-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencles-landing

vertical-skin-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

airoraft-quasl-steady-aerodynamic-loads-landing

alrcraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencles-landing

vertical-spar-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quas_-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

vertical-rib-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasl-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencles-landing

119
Table 122. Design Relationships in Subproblem 5-14, cont.

vertical-stiffener-deformations-landing is a function of:

main-landing-gear-attach-point-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-landing

aircraft-normal-mode-shapes-landing

aircraft-normal-mode-frequencies-landing

main-landing-gear-3d-geometry is a function of:

main-landing-gear-design-concept

main-landing-gear-design-concept is an independent design parameter

power-extraction is a function of:

control-system-power-requirement

elevator-actuator-geometry is a function of:

hydraulic-system-pressure

elevator-max-hinge-moment

horizontal-structural-arrangement

elevator-3d-geometry

horizontal-3d-shape

aileron-actuator-geometry is a function of:

hydraulic-system-pressure

aileron-max-hinge-moment

wing-structural-arrangement

aileron-3d-geometry

wing-3d-shape

rudder-quasl-steady-aerodynamic-loads

rudder-3d-geometry

horlzontal-3d-shape

rudder-actuator-normal-mode-shapes

is a function of:

120
Table 122. Design Relationships in Subproblem 5-14, cont.

wlng-attach-polnt-loads-cruise is a function of:

wing-aerodynamic-loads-cruise

wlng-structural-arrangement

pylon-attach-point-loads-cruise

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-rib-weight

wing-rib-moments-of-inertia

wlng-spar-3d-geometry

wlng-spar-elastic-properties

wlng-spar-weight

wlng-spar-moments-of-inertia

wang-skin-3d-geometry

wang-skin-elastic-properties

w_ng-skin-moments-of-inertia

wlng-skin-weight

w_ng-stiffener-3d-geometry

w_ng-stiffener-elastic-properties

wlng-stiffener-weight

w_ng-stiffener-moments-of-inertia

win_-rib-deformations-cruise is a function of:

wing-aerodynamic-loads-cruise

wing-structural-arrangement

pylon-attach-point-loads-cruise

wing-rib-3d-geometry

wing

wing

wing

wang

wlng

wang

wlng

w_ng

wlng

wlng

wing

-rib-elastic-properties

-rib-weight

-rib-moments-of-inertia

-spar-3d-geometry

-spar

-spar

-spar

-skin

-skin

-skin

-skin

-elastic-properties

-weight

-moments-of-inertia

-3d-geometry

-elastic-properties

-weight

-moments-of-inertia

121
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-rib-deformations-cruise is a function of: (cont.)

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-inertia

wing-stlffener-deformations-cruise is a function of:

wing-aerodynamic-loads-cruise

wing-structural-arrangement

pylon-attach-point-loads-cruise

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-rib-weight

wing-rib-moments-of-inertia

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-weight

w_ng-spar-moments-of-inertia

wlng-skin-3d-geometry

w_ng-skin-elastic-properties

w_ng-skin-moments-of-inertia

w_ng-skin-weight

w%ng-stiffener-3d-geometry

w%ng-stiffener-elastic-properties

wlng-stiffener-weight

w%ng-stlffener-moments-of-lnertia.

122
Table 122. Design Relationships in Subproblem 5-14, cont.

wlng-spar-deformations-cruise is a function of:

wi

wl

PY

wi

Wl

Wl

Wl

Wl

Wl

Wl

wl

Wl

Wl

ng-aerodynamic-loads-cruise

ng-structural-arrangement

ion-attach-point-loads-cruise

ng-rib-3d-geometry

ng-rib-elastic-properties

ng-rib-weight

ng-rib-moments-of-inertia

ng-spar-3d-geometry

ng-spar-elastic-properties

ng-spar-weight

ng-spar-moments-of-inertia

ng-skin-3d-geometry

ng-skin-elastio-properties

w_ng_skin-moments-of-inertia

wlng-skin-weight

w_ng-stiffener-3d-geometry

wlng-stiffener-elastic-properties

wlng-stiffener-weight

wlng-stiffener-moments-of-inertia

wing-skin-deformations-cruise is a

wlng-aerodynamic-loads-cruise

wing-structural-arrangement

pylon-attach-point-loads-cruise

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-rib-weight

wing-rib-moments-of-inertia

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-weight

wing-spar-moments-of-inertia

win_-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-inertia

wing-skin-weight

function of:

123
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-skin-deformations-cruise is a function of: (cont.)

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-inertia

wing-attach-point-loads-pull-up is a

wing-aerodynamic-loads-pull-up

wlng-structural-arrangement

pylon-attach-point-loads-pull-up

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-rib-moments-of-inertia

wing-rib-weight

wlng-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-moments-of-inertia

wlng-spar-weight

wing-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-inertia

wing-skin-weight

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-inertia

function of:

124
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-rib-deformations-pull-up is a function of:

wing-aerodynamic-loads-pull-up

wing-structural-arrangement

pylon-attach-point-loads-pull-up

wlng-rib-3d-geometry

w_ng-rib-elastic-properties

wlng-rib-moments-of-inertia

wlng-rib-weight

wlng-spar-3d-geometry

wlng-spar-elastic-properties

wlng-spar-moments-of-inertia

wlng-spar-weight

wlhg-skin-3d-geomet

wing-skin-elastic-p

wing-skin-moments-o

wing-skin-weight

wing-stiffener-3d-g

wing-stiffener-elas

wing-stiffener-weig

wing-stiffener-mome

ry

roperties

f-inertia

eometry

tic-properties

ht

nts-of-inertia

wing-stiffener-deformations-pull-up is

wing-aerodynamic-loads-pull-up

wlng-structural-arrangement

pylon-attach-point-loads-pull-up

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-rib-moments-of-lnertia

wing-rib-weight

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-moments-of-inertia

wing-spar-weight

wing-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-inertia

wing-skin-weight

a function of:

125
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-stiffener-deformations-pull-up is a function of: (cont.)

wing-stiffener-3d-geometry

wing-stlffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-lnertia

wing-spar-deformations-pull-up is a

wing-aerodynamic-loads-pull-up

wing-structural-arrangement

pylon-attach-point-loads-pull-up

wing-rib-3d-geometry

wing-rib-elastic-propertles

wing-rib-moments-of-inertla

wing-rib-weight

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-moments-of-inertia

wlng-spar-weight

wing-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-lnertia

wing-skin-weight

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

win&-stiffener-weight

wing-stlffener-moments-of-lnertia

function of:

126
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-skin-deformations-pull-up is a function of:

wing-ae

wlng-st

pylon-a

wing-ri

wzng-ri

w_ng-ri

rodynamic-loads-pull-up

ructural-arrangement

ttach-point-loads-pull-up

b-3d-geometry

b-elastic-properties

b-moments-of-inertia

wzng-rib-weight

w_ng-spar-3d-geometry

w_ng-spar-elastic-properties

w_ng-spar-moments-of-inertia

w_ng-spar-weight

wzng-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-inertia

wing-skin-weight

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-inertia

wing-maneuvering-shape-pull-up is a

wing-aerodynamic-loads-pull-up

wing-structural-arrangement

pylon-attach-point-loads-pull-up

wing-rib-3d-geometry

wing-rib-elastic-properties

wlng-rlb-moments-of-inertla

wing-rib-weight

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-moments-of-inertia

wing-spar-weight

wing-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-inertia

wlng-skin-welght

function of:

127
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-maneuvering-shape-pull-up is a function of: (cont.)

wlng-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-inertia

wing-attach-point-loads-turn is a function of:

wing-aerodynamic-loads-turn

wing-structural-arrangement

pylon-attach-point-loads-turn

wing-rib-3d-geometry

wing-rib-elastic-properties

wing-rib-moments-of-inertia

wing-rib-weight

wing-spar-3d-geometry

wing-spar-elastic-properties

wing-spar-moments-of-inertia

wing-spar-weight

wlng-skin-3d-geometry

wlng-skin-elastic-properties

wlng-skin-moments-of-inertia

wlng-skin-weight

w_ng-stiffener-3d-geometry

w_ng-stiffener-elastic-properties

wlng-stiffener-weight

wlng-stiffener-moments-of-inertia

128
Table 122. Design Relationships in Subproblem 5-14, cont.

win_-rib-deformations-turn is a function of:

wing-ae

wlng-st

pylon-a

wing-ri

wing-ri

wlng-ri

rodynamic-loads-turn

ructural-arrangement

ttach-point-loads-turn

b-3d-geometry

b-elastic-propertles

b-moments-of-inertia

wlng-rib-weight

w_ng-spar-3d-geometry

w_ng-spar-elastic-properties

wlng-spar-moments-of-inertia

w_ng-spar-weight

wlng-skin-3d-geometry

wlng-sk

wing-sk

wing-sk

wing-st

wing-st

wing-st

wing-st

in-elastic-properties

in-moments-of-inertia

in-weight

iffener-3d-geometry

iffener-elastic-properties

iffener-weight

iffener-moments-of-inertia

win_-stiffener-deformations-turn is a function of:

wing-aerodynam

wing-structura

pylon-attach-p

wing-rib-3d-ge

wing-rib-elast

wing-rib-momen

wing-rib-weight

wing-spar-3d-ge

wing-spar-elast

wing-spar-momen

wing-spar-weigh

wing-skin-3d-ge

wing-skin-elast

wing-skin-momen

wing-skin-weigh

ic-loads-turn

1-arrangement

oint-loads-turn

ometry

ic-properties

ts-of-inertia

ometry

ic-properties

ts-of-inertia

t

ometry

ic-properties

ts-of-inertia

t

129
Table 122. Design Relationships in Subproblem 5-14, cont.

wlng-stiffener-deformations-turn is a function of: (cont.)

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wing-stiffener-moments-of-lnertia

wing-spar-deformations-turn is e function of:

wing-aerodynamic-loads-turn

wing-structural-arrangement

pylon-attach-point-loads-turn

wing-rib-3d-geometry

wing-rib-elastic-properties

wingArib-moments-of-inertia

wing-rib-weight

wing-sp_r-3d-geometry

wing'spar-elastic-properties

wing-spar-moments-of-inertia

wlng-s

wing-s

wing-s

wing-s

wing-s

wing-s

wlng-s

wlng-s

wing-s

par-weight

kin-3d-geometry

kin-elastic-properties

kin-moments-of-lnertia

kin-weight

tiffener-3d-geometry

tlffener-elastlc-properties

tlffener-weight

tiffener-moments-of-lnertia

130
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-skin-deformations-turn is a function of:

wing-aerodynamic-loads-turn

wing-structural-arrangement

pylon-attach-point-loads-turn

wlng-rib-3d-geometry

wing-rib-elastic-properties

w_ng-rib-moments-of-inertia

wang-rib-weight

w_ng-spar-3d-geometry

wang-spar-elastic-properties

wlng-spar-moments-of-inertia

w_ng-spar-weight

wang-skin-3d-geometry

wang-skin-elastic-properties

wlng-skin-moments-of-lnertia

wing-skin-weight

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

winE-stiffener-moments-of-inertia

wing-maneuve

wing-ae

wing-st

pylon-a

wing-ri

wing-ri

wing-_i

wing-r

wing-s

wing-s

wing-s

wing-s

wing-s

wing-s

wing-s

wing-s

ring-shape-turn is a function of:

rodynamic-loads-turn

ructural-arrangement

ttach-point-loads-turn

b-3d-geometry

b-elastic-propertles

b-moments-of-inertia

ib-weight

par-3d-geometry

par-elastic-properties

par-moments-of-inertia

par-weight

kin-3d-geometry

kin-elastic-properties

kin-moments-of-inertia

kin-weight

131
Table 122. Design Relationships in Subproblem 5-14, cont.

wing-maneuvering-shape-turn is a function of: (cont.)

wlng-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-weight

wlng-stiffener-moments-of-inertia

wing-3d-shape is a function of:

wing-airfoil-section

wing-dihedral

wing-aspect-ratio

wing-sweep-angle

wing-taper-ratio

wing-planform-area

fuselage-3d-shape is an independent design parameter

elevator-max-hinge-moment

max-horizontal-alpha

max-elevator-delta-e

elevator-3d-geometry

is a function of:

aileron-3d-geometry is an independent design parameter

wlnM-aerodynamic-loags-crulse is a function of:

cruise-3d-shape

downwash-alpha is a function of:

wing-3d-shape

wing-planform-area is an independent design parameter

132
Table 122. Design Relationships in Subproblem 5-14, cont.

aileron-quasi-steady-aerodynamlc-loads is a function of:

aileron-3d-geometry

horizontal-3d-shape

aileron-actuator-normal-mode-shapes

vertical-airfoil-section is an independent design parameter

vertical-area is an independent design parameter

vertical-sweep-angle is an independent design parameter

vertical-taper-ratio is an independent design parameter

vertical-aspect-ratio is an independent design parameter

wing-airfoil-section is an independent design parameter

wing-dihedral is an independent design parameter

wing-aspect-ratio is an independent design parameter

wing-sweep-angle is an independent design parameter

wing-taper-ratio is an independent design parameter

max-horizontal-alpha is an independent design parameter

max-elevator-delta-e is an independent design parameter

hydraulic-system-pressure is an independent design parameter

133
Table 123. Subproblem 5-1" Interfaces

PREDECESSORS

Input Parameters To Subproblem .-08

wlng-planform-area

downwash-alpha

aileron-3d-geometry

fusela&e-3d-shape

wlng-3d-shape

power-extraction

rudder-3d-geometry

vertical-3d-shape

vertical-ac

nacelle-pylon-structural-welght

pylon-attach-point-loads-turn

pylon-attach-point-loads-pull-up

pylon-attach-polnt-loads-cruise

elevator-3d-geometry

horizontal-3d-shape

cruise-3d-shape

rudder-actuator-rate

aileron-actuator-rate

elevator-actuator-rate

13.
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To Subproblem 4-08

wing-planform-area

downwash-alpha

aileron-3d-geometry

fuselage-3d-shape

wing-3d-shape

power-extraction

rudder-3d-geometry

vertical-3d-shape

vertical-ac

nacelle-pylon-structural-weight

pylon-attach-point-loads-turn

pylon-attach-point-loads-pull-up

pylon-attach-point-loads-cruise

elevator-3d-geometry

horizontal-3d-shape

cruise-3d-shape

rudder-actuator-rate

aileron-actuator-rate

elevator-actuator-rate

Input Parameters To Subproblem 4-22

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

Input Parameters To Subproblem 4-11

vertical-stiffener-weight

vertical-spar-weight

vertlcal-rib-welght

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vert_cal-skin-3d-geometry

135
Table 123. Subproblem 5-14 Interfaoes, cont.

Output Parameters To Subproblem 4-11

vertioal-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

Input Parameters To Subproblem 4-18

r_dder-actuator-geometry

Input Parameters To Subproblem 4-16

main-landing-gear-structural-weight

main-landing-gear-3d-geometry

Input Parameters To Subproblem 4-19

hori

hori

hori

hori

hori

hori

hori

hori

hor£

zontal-skin-weight

zontal-stiffener-welght

zontal-spar-weight

zontal-rib-weight

zontal-skln-3d-geometry

zontal-stlffener-3d-geometry

zontal-spar-3d-geometry

zontal-rlb-3d-geometry

zontal-structural-arrangement

Input Parameters To Subproblem 4-10

horizonta

horizonta

horizonta

horizonta

horizonta

horizonta

horizonta

horizonta

horizonta

1-skin-weight

1-stlffener-weight

1-spar-weight

1-rib-weight

l-skin-3d-geometry

l-stlffener-3d-geometry

l-spar-3d-geometry

l-rib-3d-geometry

1-structural-arrangement

136
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To Subproblem 4-10

horizontal-skln-welght

horizontal-stiffener-welght

horlzontal-spar-welght

horizontal-rib-weight

horlzontal-skin-3d-geometry

horizontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horizontal-rib-3d-geometry

horizontal-structural-arrangement

Input Parameters To Subproblem 4-17

wing

wing

wing

wing

wing

wing

wing

wing

wing

-skln-welgbt

-stiffener-weight

-spar-weight

-rib-we.ight

-skin-3d-geometry

-stiffener-3d-geometry

-spar-3d-geometry

-rib-3d-geometry

-structural-arrangement

Input Parameters To Subproblem 4-12

wing-skin-weight

wing-stiffener-weight

wing-spar-weight

wlng-rib-weight

win_-skin-3d-geometry

wing-stiffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry

wing-structural-arrangement

137
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To Subproblem 4-12

wlng-skln-welght

wlng-stlffener-welght

wlng-spar-weight

wlng-rib-weight

wing-skln-3d-geometry

wing-stiffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry

wing-structural-arrangement

Input Parameters To Subproblem 4-15

fuselage-skin-welght

fuselage-skin-3d-geometry

fuselage-stiffener-welght

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

Input Parameters To Subproblem 4-09

fusela&e

fuselage

fuselage

fuselaEe

fuselage

fuselage

fuselage

-skin-weight

-skln-3d-geometry

-stiffener-weight

-stlffener-3d-geometry

-frame-weight

-frame-3d-geometry

-structural-arrangement

Output Parameters To Subproblem 4-09

fuselage-skin-weight

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

Input Parameters To $ubproblem 4-07

main-landing-gear-attach-point-dynamic-loads

main-landing-gear-design-concept

138
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To Subproblem 4-07

maln-landlng-gear-attach-polnt-dynamic-loads

main-landing-gear-design-concept

Input Parameters To Subproblem 4-13

main-landing-gear-3d-geometry

%

Output Parameters To Subproblem 4-13

main-landing-gear-3d-geometry

Input Parameters To Subproblem 4-21

elevator-actuator-geometry

Input Parameters To Subproblem 4-20

aileron-actuator-geometry

139
Table 123. Subproblem 5-14 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 6-06

wing-aerodynamlc-loads-turn

horizontal-stlffener-moments-of-inertia

horizontal-stiffener-elastic-propertles

borizontal-skin-moments-of-lnertia

horizontal-skin-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-elastlc-properties

horizontal-rib-moments-of-inertla

horizontal-rlb-elastlc-propertles

vertlcal-stiffener-moments-of-inertia

vertlcal-stlffener-elastic-properties

vertical-skin-moments-of-lnertia

verticai-skin-elastlc-propertles

vertical-spar-moments-of-inertia

vertical-spar-elastic-properties

vertical-rlb-moments-of-inertia

v_rtical-rib-elastic-properties

fuselage-skln-moments-of-inertia

fuselage-skin-elastlc-properties

fuselage-stlffener-moments-of-lnertla

fuselage-stlffener-elastic-propertles

fuselage-frame-moments-of-inertla

fuselage-frame-elastic-properties

wing-aerodynamic-loads-pull-up

140
Table 123. Subproblem 5-14 Interfaces, cont.

Input Parameters To Subproblem 6-06 (cont.)

aileron-3d-geometry

wlng-maneuvering-shape-turn

wing-attach-point-loads-turn

wing-maneuvering-shape-pull-up

wing-attach-polnt-loads-pull-up

wing-attach-point-loads-cruise

vertlcal-stlffener-deformations-landing

vertical-rlb-deformations-landlng

vertical-spar-deformations-landing

vertical-skin-deformations-landing

horizontal-stiffener-deformations-landing

horizontal-rib-deformations-landing

horizontal-spar-deformations-landlng

horizontal-skin-deformations-landlng

fuselage-stiffener-deformations-landing

fuselage-frame-deformations-landing

fuselage-skin-deformations-landing

fusela_e-sk±n-weight

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselase-stiffener-3d_geometry

fuselage-frame-weight

fuselage-frame-3dLgeometry

fuselage-structural-arrangement

horizontal-skin-weight

horizontal-stlffener-weight

I_11
Table 123. Subproblem 5-14 Interfaces, cont.

Input Parameters To Subproblem 6-06 (cont.)

horlzontal-spar-welght

horlzontal-rib-weight

horizontal-skin-3d-geometry

horlzontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horlzontal-rib-3d-geometry

vertical-stiffener-welght

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

horizontal-structural-arrangement

rudder-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

142
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To Subproblem 6-06

wlng-aerodynamlc-loads-turn

horizontal-stiffener-moments-of-lnertla

horlzontal-stlffener-elastlc-properties

horizontal-skin-moments-of-lnertia

horizontal-skin-elastlc-properties

horizontai-spar-moments-of-inertla

horizontal-spar-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-rib-elastic-properties

vertical-stiffener-moments-of-inertia

vertical-stiffener-elastlc-properties

vertical-skin-moments-of-lnertia

vertical-skln-elastic-properties

vertical-spar-moments-_f-inertia

vertical-spar-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-elastic-properties

wing-aerodynamic-loads-pull-up

aileron-3d-geometry

wing-maneuvering-shape-turn

la3
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To Subproblem 6-06 (cont.)

wing-attach-point-loads-turn

wing-maneuvering-shape-pull-up

wing-attach-point-loads-pull-up

wing-attach-point-loads-cruise

vertical-stiffener-deformations-landing

vertical-rib-deformations-landing

vertical-spar-deformations-landing

vertical-skin-deformations-landing

horizontal-stiffener-deformations-landing

horizontal-rlb-deformations-landlng

horizontal-spar-deformatlons-landlng

horlzontal-skin-deformatlons-landlng

fuselage-stlffener-deformations-landing

fuselage-frame-deformatlons-landing

fuselage-skin-deformations-landing

fuselage-skin-welght

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

horizontal-skin-weight

horizontal-stlffener-weight

horizontal-spar-weight

horizontal-rib-welght

1_1_1
Table 123. Subproblem 5-14 Interfaces, cont.

Output Parameters To 3ubproblem 6-06 (cont.)

horlzontal-skln-3d-geometry

horlzontal-stlffener-3d-geometry

horlzontal-spar-3d-geometry

horlzontal-rlb-3d-geometry

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-welght

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

horizontal-structural-arrangement

rudder-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

Input Parameters To Subproblem 6-12

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-welght

vertical-stiffener-3d-geometry

vertical-spar

vertical-ribvertical-stru

vertical-skin

vertical-skin

-3d-geometry

3d-geometry

ctural-arrangement

-weight

-3d-geometry

Output Parameters To Subproblem 6-12

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-welght

vertical-skin-3d-geometry

145
Table 123. Subproblem 5-14 Interfaces, cont.

Input Parameters To Subproblem 6-07

rudder-actuator-normal-mode-shapes

rudder-quasi-steady-aerodynamic-loads

rudder-actuator-geometry

Input Parameters To Subproblem 6-08

rudder-max-hinge-moment

rudder-3d-geometry

Input Parameters To Subproblem 6-09

alrcraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-frequencies-flight

aircraft-normal-mode-shapes-flight

146
Table 123. Subproblem 5-1_ Interfaces, cont.

Input Parameters To Subproblem 6-11

wing-stlffener-moments-of-lnertla

wlng-stlffener-elastlc-propertles

wlng-skln-moments-of-inertia

wlng-skin-elastic-properties

wing-spar-moments-of-lnertia

wing-spar-elastic-propertles

wlng-rib-moments-of-inertla

wing-rib-elastic-properties

win_-sklzJ-deformatlons-turn

wing-spar-deformations-turn

wing-stiffener-deformations-turn

wing-rib-deformations-turn

wing-skin-deformatlons-pull-up

wing-spar-deformations-pull-up

wing-stiffener-deformations-pull-up

wing-rib-deformations-pull-up

w_ng-skin-deformations-cruise

w_ng-spar-defcrmaticns-cruise

w_n_-stiffener-deformations-cruise

w_n_-rib-deformatlons-cruise

w_n_-stiffener-defcrmations-landing

w_ng-rib-defcrmations-landing

w_ng-spar-deformations-landing

w_ng-skin-deformations-landing

w_ng-skin-3d-geometry

wing-stiffener-3d-geometry

1_7
Table 123. Subproblem 5-14 Interfaces, cont.

Input Parameters To Subproblem 6-11 (cont.)

wlng-spar-3d-geometry

wing-rlb-3d-geometry

wing-structural-arrangement

Input Parameters To Subproblem 6-23

aircraft-quasi-steady-aerodynamic-loads-landing

alrcraft-normal-mode-frequencies-landing

aircraft-normal-mode-shapes-landing

Input Parameters To Subproblem 6-13

main-landing-gear-moments-of-lnertia

main-landlng-£ear-3d-geometry

Output Parameters To Subproblem 6-13

main-landing-gear-moments-of-inertia

maln-landing-gear-3d-geometry

Input Parameters To Subproblem 6-16

horizontal-skin-weight

horlzontal-stlffener-welght

horlzontal-spar-weight

horlzontal-rib-welght

horlzontal-skin-3d-geometry

horlzontal-stlffener-3d-geometry

_horizontal-spar-3d-geometry

horizontal-rib-3d-geometry

horizontal-structural-arrangement

Output Parameters To Subprobiem 6-16

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

-skin-weight

-stiffener-weight

-spar-welght

-rib-weight

-skln-3d-geometry

-stiffener-3d-geometry

-spar-3d-geometry

-rib-3d-geometry

-structural-arrangement

148
Table 123. Subproblem 5-14 Interfaces, cont.

Input Parameters To Subproblem 6-15

wing-skln-welght

wing-stlffener-welght

wlng-spar-welght

wing-rib-welght

wing-skln-3d-geometry

wing-stiffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry

wing-structural-arrangement

Output Parameters To Subproblem 6-15

wlng-skln-weight

wing-stiffener-weight

wing-spar-weight

wing-rib-weight

wing-skin-3d-geometry

wing-stiffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry

wing-structural-arrangement

Input Parameters To Subproblem 6-14

fuselage-skin-weight

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

Output Parameters To Subproblem 6-14

fuselage-skin-weight

fuselage-skin-3d-geometry

fuselage-stlffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

149
Table 123. Subproblem 5-14 Interfaces, cont.

Input Parameters To Subproblem 6-19

main-landing-gear-design-concept

main-landing-gear-3d-geometry

Input Parameters To Subproblem 6-20

elevator-actuator-geometry

Output Parameters To Subproblem 6-20

elevator-actuator-geometry

Input Parameters To Subproblem 6-21

aileron-actuator-normal-mode-shapes

aileron-quasi-steady-aerodynamic-loads

aileron-actuator-geometry

Input Parameters To Subproblem 6-22

aileron-max-hinge-moment

aileron-3d-geometry

Input Parameters To Subproblem 6-24

wlng-3d-shape

Table 124. Design Relationships in Subproblem 5-15

horlzontal-location is an independent design parameter

150
Table 125. Subproblem 5-15 Interfaces

PREDECESSORS

Output Parameters To Subproblem 4-08

horizontal-location

SUCCESSORS

Output Parameters To Subproblem 6-06

horizontal-location

Table 126. Design Relationships in Subproblem

delta-e-pull-up is a function of:

maneuvering-3d-shape-pull-up

load-factor

elevator-3d-geometry

5-16

Table 127. Subproblem 5-16

PREDECESSORS

Interfaces

Output Parameters To Subproblem

elevator-3d-geometry

4 -08

151
Table 127. Subproblem 5-16 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 6-06

maneuvering-3_-shape-pull-up

Output Parameters To Subproblem 6-06

maneuvering-3d-shape-pull-up

Input Parameters To Subproblem 6-18

load-factor

Output Parameters To Subproblem 6-18

load-factor

Table 128. Design Relationships in Subproblem

i-x-x is a function of:

fuselage-moments-of-lnertla

fuselage-cg

wing-moments-of-lnertla

wing-cg

vertical-moments-of-lnertla

vertical-cg

horizontal-moments-of-inertia

horizonta1-cg

main-landing-gear-moments-of-inertia

main-landing-gear-cg

nose-landin6-gear-moments-of-inertia

nose-landing-gear-cg

5-17

152
Design Relationships in Subproblem

a function of:

fuselage-moments-of-lnertia

fuselage-og

wlng-moments-of-lnertla

wing-og

vertical-moments-of-inertia

vertioal-cg

horizontal-moments-of-inertia

horizontal-og

main-landing-gear-moments-of-lnertla

maln-landing-Eear-c E

nose-landing-gear-moments-of-lnertia

nose-landing-gear-cg

5-17, oOnto

i-z-z is a function of:

fuselage-moments-of-inertia

fuselage-cg

wing-moments-of-lnertia

wing-cg

vertical-moments-of-inertia

vertical-cg

horizontal-moments-of-inertia

horizontal-cg

main-landing-gear-moments-of-lnertia

main-landing-gear-cg

nose-landing-gear-moments-of-lnertia

nose-landing-gear-og

i-z-y is a function of:

fuselage-moments-of-inertia

fuselage-cg

wing-moments-of-lnertia

wing-cg

vertical-moments-of-inertia

vertical-cg

horlzontal-moments-of-lnertia

horizontal-cg

main-landing-gear-moments-of-inertia

main-landing-gear-cg

153
Table 128. Design Relationships in Subproblem 5-17, cont.

i-z-y is a function of: (cont.)

nose-landlng-gear-moments-of-inertla

nose-landing-gear-cg

i-x-z is a function of:

fuselage-moments-of-lnertia

fuselage-cg

wing-moments-of-lnertia

wing-cg

vertical-moments-of-inertia

vertical-og

horizontal-moments-of-inertia

horizontal-cg

main-landing-gear-moments-of-inertia

main-landing-gear-cg

nose-landing-gear-moments-of-inertia

nose-landing-gear-cg

Table 129. Subproblem 5-17 Interfaces

PREDECESSORS

Input Parameters To Subproblem 4-08

i -X-Z

i -Z -Z

i -y -y

i -x-x

Output Parameters

i -X -Z

i -Z -Z

i -y -y

i -X -X

To Subproblem 4-08

154
Table 129. Subproblem 5-17 Interfaces, cont.

Input Parameters To Subproblem 4-09

fuselage-cg

Output Parameters To Subproblem 4-09

fusela_e-cg

Input Parameters To Subproblem 4-12

wing-cg

Output Parameters To Subproblem 4-12

wing-cg

Input Parameters To Subproblem 4-11

vertical-cg

Output Parameters To Subproblem 4-11

vertical-cg

Input Parameters To Subproblem 4-10

horizontal-cg

Output Parameters To Subproblem 4-I0

horizontal-cg

Input Parameters To Subproblem 4-13

main-landing-gear-cg

Odtput Parameters To Subproblem 4-13

main-landing-gear-cg

Input Parameters To Subproblem 4-14

nose-landing-gear-cg

155
Table 129. Subproblem 5-17 Interfaces, cont.

Output Parameters To Subproblem _-14

nose-landing-gear-cg

SUCCESSORS

Input Parameters To Subproblem 6-14

fuselage-moments-of-inertia

Output Parameters To Subproblem 6-14

fuselage-moments-of-inertia

Input Parameters To Subproblem 6-15

wing-moments-of-inertia

Output Parameters To Subproblem 6-15

wing-moments-of-inertia

Input Parameters To Subproblem 6-12

vertical-moments-of-inertia

Output Parameters To Subproblem 6-12

vertical-moments-of-inertla

Input Parameters To Subproblem 6-16

horizontal-moments-of-inertia

Output Parameters To Subproblem 6-16

horlzontal-moments-of-lnertla

Input Parameters To Subproblem 6-13

main-landing-gear-moLents-of-inertia

156
Table 129. Subproblem 5-17 Interfaces, cont.

Output Parameters To Subproblem 6-13

maln-landing-gear-moments-of-inertia

Input Parameters To Subproblem 6-17

nose-landing-gear-moments-of-inertia

Output Parameters To Subproblem 6-17

nose-landing-gear-moments-of-inertia

Input Parameters To

i -X-Z

i-z-y

i-Z -Z

OutpUt Parameters To

i -x -z

i -z -y

i -Z -Z

Subproblem 6-06

Subproblem 6-06

Table 130. Design Relationships in Subproblem

elevator-quasi-steady-aerodynamic-loads

elevator-3d-geometry

horizontal-3d-shape

elevator-actuator,normal-mode-shapes

5-18

is a function of:

15'7'
Table 131. Subproblem 5-18 Interfaces

PREDECESSORS

Output Parameters To Subproblem _-08

elevator-3d-geometry

horizontal-3d-shape

SUCCESSORS

Output Parameters To Subproblem 6-20

elevator-quasi-steady-aerodynamic-loads

elevator-actuator-normal-mode-shapes

Table 132. Design Relationships in Subproblem 5-19

nose-landing-gear-3d-geometry is a function of:

nose-landing-gear-design-concept

Table 133. Subproblem 5-19

PREDECESSORS

Interfaces

Input Parameters To Subproblem 4-23

nose-landing-gear-3d-geometry

Input P_rameters To Subproblem 4-14

nose-landing-gear-3d-geometry

Output Parameters To Subproblem 4-14

nose-landing-gear-3d-geometry

158
Table 133. Subproblem 5-19 Interfaces, cont.

SUCCESSORS

Input Parameters To Subproblem 6-17

nose-landing-gear-3d-geometry

Output Parameters To Subproblem 6-17

nose-landing-gear-3d-geometry

Input Parameters To Subproblem 6-10

nose-landing-gear-3d-geometry

nose-landing-gear-design-concept

Output Parameters To Subproblem 6-10

nose-landing-gear-3d-geometry

nose-landing-gear-design-concept

Table 134. Design Relationships in Subproblem 6-01

landing-distance is a function of:

landing-distance-from-screen-to-touehdown

landing-distance-from-touchdown

Table 135. Subproblem 6-01

PREDECESSORS

Interfaces

Output Parameters To Subproblem 5-01

landing-distance-from-touchdown

landing-distance-from-screen-to-touchdown

159
Table 136. Desi&n Relationships in Subproblem 6-02

inlet-pressure-recovery is

inlet-3d-geometry

a function of:

Table 137. Subproblem 6-02 Interfaces

PREDECESSORS

Output Parameters To Subproblem 5-05

inlet-pressure-recovery

SUCCESSORS

Output Parameters To Subproblem 7-01

inlet-3d-geometry

Table 138. Design Relationships in Subproblem

inlet-distortion is a function of:

inlet-3d-geometry

6-03

160
Table 139. Subproblem 6-03 Interfaces

PREDECESSORS

Output Parameters To Subproblem 5-05

inlet-distortion

SUCCESSORS

Output Parameters To Subproblem 7-01

inlet-3d-geometry

Table 140. Design Relationships

ram-drag is a function of:

engine-massflow

inlet-3d-geometry

nacelle-3d-shape

in Subproblem 6-04

engine-massflow ks an independent design parameter

Table 141. Subproblem 6-04

PREDECESSORS

Interfaces

Input Parameters To

ram-drag

Output Parameters To

ram-drag

Subproblem 5-05

Subproblem 5-05

161
Table 141. Subproblem 6-04 Interfaces, cont.

Input Parameters To Subproblem 5-08

nacelle-3d-shape

SUCCESSORS

Input Parameters To Subproblem 7-01

inlet-3d-geometry

Output Parameters To Subproblem 7-01

inlet-3d-geometry

Table 142. Design Relationships in Subproblem 6-05

boattail-drag is a function of:

nozzle-3d-geometry

nozzle-3d-geometry is an independent design parameter

Table 143. Subproblem 6-05

PREDECESSORS

Interfaces

Output Parameters To Subproblem 5-05

boattail-drag

162
Table 144. Design Relationships in Subproblem 6-06

maneuvering-3d-shape-pull-up is a function of:

wing-maneuvering-shape-pull-up

fuselage-maneuvering-shape-pull-up

vertical-maneuvering-shape-pull-up

vertical-location

horizontal-location

horizontal-maneuvering-shape-pull-up

wing-aerodynamic-loads-pull-up is a function of:

maneuvering-3d-shape-pull-up

fusel age-maneuvering-shape-pull-up is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia.

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

fuselage-aerodynamic-loads-pull-up

wing-attach-point-loads-pull-up

empennage-attach-point-loads-pull-up

163
Table 144. Design Relationships in Subproblem 6-06, cont.

vertical-maneuvering-shape-pull-up is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-pull-up

vertical-aerodynamic-loads-pull-up

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertlcal-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

horizontal-mane

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

horizontal

uvering-shape-pull-up is a

-structural-arrangement

-aerodynamic-loads-pull-up

-rib-3d-geometry

-rib-elastic-properties

-rib-moments-of-inertia

-rib-weight

-spar-3d-geometry

-spar-elastic-properties

-spar-moments-of-inertia

-spar-weight

-skin-3d-geometry

-skin-elastic-properties

-skin-moments-of-inertia

-skin-weight

-stiffener-3d-geometry

function of:

164
Table 1_4. Design Relationships in Subproblem 6-06, cont.

horizontal-maneuvering-shape-pull-up is a function of: (cont.)

horlzontal-stlffener-elastlc-properties

horlzontal-stlffener-welght

horlzontal-stlffener-moments-of-lnertla

fuselage-frame-elastic-propertles

fuselage-frame-moments-of-inertia

is an independent

design parameter

is an independent

design parameter

fuselage-stiffener-elastlc-properties

fuselage-stiffener-moments-of-inertia

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

165
Table144. Design Relationships in Subproblem 6-06,

empennage-attach-point-loads-pull-up is a function

vertical-structural-arrangement

horizontal-attach-point-loads-pull-up

vertical-aerodynamic-loads-pull-up

vertical-rib-3d-geomet

vertical-rib-elastic-p

vertical-rib-moments-o

vertical-rib-weight

vertical-spar-3d-geome

vertical-spar-elasticvertical-spar-momentsvertical-spar-weight

vertical-skin-3d-geome

ry

roperties

f-inertia

try

properties

of-inertia

try

vertical-skin-elastlc-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

cont.

of:

horizontal-attach-point-loads-pull-up is a function of:

horizontal-structural-arrangement

horizontal-aerodynamlc-loads-pull-up

horlzontal-rlb-3d-geometry

horizontal-rib-elastic-properties

horizontal-rib-moments-of-lnertia

horlzontal-rib-welght

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-lnertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horizontal-skin-welght

horizontal-stlffener-3d-geometry

166
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-attach-point-loads-pull-up is a function of: (cont.)

horizontal-stlffener-elastic-propertles

horizontal-stiffener-weight

horlzontal-stiffener-moments-of-lnertla

vertical-rib-elastlc-properties

vertical-rib-moments-of-inertia

vertical-spar-elastlc-properties

vertical-spar-moments-of-inertia

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

vertical-stiffener-elastic-properties

vertical-stiffener-moments-of-inertia

horizontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-skin-elastic-propertles

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

is an independent

design parameter

167
Table 144, Design Relationships in Subproblem 6-06, cont.

horizontal-skin-moments-of-lnertla is an independent

design parameter

horizontal-stlffener-elastic-propertles is an independent

design parameter

horizontal-stiffener-moments-of-inertla is an independent

design parameter

fuselage-frame-deformations-cruise is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

fuselage-aerodynamic-loads-cruise

wing-attach-po£nt-loads-cruise

empennage-attach-point-loads-cruise

168
Table 144. Design Relationships in Subproblem 6-06, cont.

fuselage-stiffener-deformations-cruise is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-welght

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia"

fuselage-skin-weight

fuselage-aerodynamic-loads-cruise

wing-attach-point-loads-cruise

empennage-attach-point-loads-cruise

fuselage-skin-deformations-cruise is a

fuselag

fuselag

fuselag

fuselag

fuselag

e-structural-arrangement

e-frame-3d-geometry

e-frame-elastic-properties

e-frame-moments-of-inertia

e-frame-weight

fuselage-s

fuselage-s

fuselage-s

fuselage-s

fuselage-s

fuselage-s

fuselage-s

tiffener-3d-geometry

tiffener-elastic-properties

tiffener-moments-of-inertia

tlffener-weight

kln-3d-geometry

kin-elastic-properties

kin-moments-of-inertia

fuselage-skin-weight

fuselage-aerodynamic-loads-cruise

wing-attach-point-loads-crulse

empennage-attach-point-loads-cruise

function of:

169
Table 144. Design Relationships in Subproblem 6-06, cont.

fuselage-jig-shape is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertla

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-frame-deformations-pull-up is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage

fuselage

fuselage

fuselage

fuselage

fuselage

fuselage

wing-att

empennag

-stiffener-moments-of-inertia

-stiffener-weight

-skin-3d-geometry

-skin-elastic-properties

-skin-moments-of-lnertia

-skin-weight

-aerodynamic-loads-pull-up

ach-point-loads-pull-up

e-attach-point-loads-pull-up

170
Table 144.

fuselage-s

Design Relationships in Subproblem 6-06, cont.

tiffener-deformations-pull-up is a function of:

fuselage

fuselage

fuselage

fuselage

fuselage

fuselage

-structural-arrangement

-frame-3d-geometry

-frame-elastic-properties

.frame-moments-of-inertia

-frame-weight

-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

fuselage-aerodynamic-loads-pull-up

wing-attach-point-loads-pull-up

empennage-attach-point-loads-pull-up

fusel age-skin-deformations-pull-up is a function of:

fuselage-structur

fuselage-frame-3d

fuselage-frame-el

fuselage-frame-mo

fuselage-frame-we

fuselage-stiffene

fuselage-stiffene

al-arrangement

-geometry

astic-properties

ments-of-inertia

ight

r-3d-geometry

r-elastic-properties

fuselage-st

fuselage-st

fuselage-sk

fuselage-sk

fuselage-sk

fuselage-sk

fuselage-ae

wing-attach

empennage-a

iffener-moments-of-inertia

iffener-weight

in-3d-geometry

in-elastic-properties

in-moments-of-inertia

in-weight

rodynamic-loads-pull-up

-point-loads-pull-up

ttach-point-loads-pull-up

171
Table 144. Design Relationships in Subproblem 6-06, cont.

fuselage-frame-deformations-turn is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertla

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-welght

fuselage-aerodynamic-loads-turn

wing-attach-point-loads-turn

empennage-attach-point-loads-turn

fusel age-stiffener-deformations-turn is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-welght

fuselage-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-welght

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

fuselage-aerodynamic-loads-turn

wing-attach-point-loads-turn

empennage-attach-point-loads-turn

172
Table 144. Design Relationships in Subproblem cont.

fuselage-skin-deformations-turn is a function

fuselage

fuselage

fuselage

fuselage

fuselage

fuselage

-structural-arrangement

-frame-3d-geometry

-frame-elastic-properties

-frame-moments-of-inertia

-frame-weight

-stiffener-3d-geometry

fuselage-stiffener-elastic-properties

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-weight

fuselage-skin-3d-geometry

fuselage-skin-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-weight

fuselage-aerodynamic-loads-turn

wing-attach-point-loads-turn

empennage-attach-point-loads-turn

6-06,

of:

fuselage-maneuvering-shape-turn is a function of:

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

fuselag

wing

empe

e-structural-arrangement

e-frame-3d-geometry

e-frame-elastic-properties

e-frame-moments-of-inertia

e-frame-weight

e-stiffener-3d-geometry

e-stiffener-elastic-properties

e-stiffener-moments-of-inertia

e-stiffener-weight

e-skin-3d-geometry

e-skin-elastic-properties

e-skin-moments-of-inertia

e-skin-weight

e-aerodynamic-loads-turn

-attach-point-loads-turn

nnage-attach-point-loads-turn

fuselage-frame-stresses-landing is a function

fuselage-frame-deformations-landing

fuselage-frame-elastic-properties

of:

173
Table 144. Design Relationships in Subproblem 6-06, cont.

fuselage-stiffener-stresses-landing is a function of:

fuselage-stiffener-deformations-landing

fuselage-stiffener-elastic-properties

fuselage-skin-stresses-landing is a function

fuselage-skin-deformations-landing

fuselage-skin-elastic-properties

of:

vertical-rib-deformations-pull-up is a function of:

ver

hor

ver

vet

vertica

vertical-rib-moments-of-inertia

vertical-rib-welght

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-Bd-geometry

tical-structural-arrangement

izontal-attach-point-loads-pull-up

tical-aerodynamic-loads-pull-up

tical-rib-3d-geometry

l-rib-elastic-properties

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-Sd-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

174
Table 144. Design Relationships in Subproblem 6-06, cont.

vertical-stiffener-deformations-pull-up is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-pull-up

vertical-aerodynamic-loads-pull-up

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-spar-deformations-pull-up is a function of:

ve

ho

ve

ve

vertical-ri

vertical-ri

vertical-ri

v_rtical-sp

vertical-sp

vertical-sp

vertical

vertical

vertical

vertical

vertical

rtical-structural-arrangement

rizontal-attach-point-loads-pull-up

rtical-aerodynamic-loads-pull-up

rtical-rib-3d-geometry

b-elastic-properties

b-moments-of-inertia

b-weight

ar-3d-geometry

ar-elastic-properties

ar-moments-of-inertia

-spar-weight

-skin-3d-geometry

-skin-elastic-properties

-skin-moments-of-inertia

-skin-weight

175
Table 144. Design Relationships in Subproblem 6-06,

vertical-spar-deformatlons-pull-up is a function of:

vertlcal-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

cont.

(cont.)

vertical-skln-deformations-pull-up is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-pull-up

vertical-aerodynamic-loads-pull-up

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

-rib-3d-geometry

-rlb-elastic-properties

-rib-moments-of-inertia

-rib-weight

-spar-3d-geometry

-spar-elastic-properties

-spar-moments-of-inertia

-spar-weight

-skin-3d-geometry

-skin-elastic-properties

-skin-moments-of-lnertia

-skin-weight

-stiffener-3d-geometry

-stiffener-elastic-properties

-stiffener-weight

-stiffener-moments-of-lnertia

176
Table 144. Design Relationships in Subproblem 6-06, cont.

empennage-attach-point-loads-cruise is a function of:

vertical-structural-arrangement

horlzontal-attach-point-loads-cruise

vertical-aerodynamic-loads-cruise

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-rib-deformations-cruise is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-cruise

vertical-aerodynamic-loads-cruise

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

177
Table 144. Desi&n Relationships in Subproblem 6-06, cont.

vertical-rib-deformations-cruise is a function of: (cont.)

vertical-stlffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-stiffener-deformations-cruise is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-cruise

vertical-aerodynamic-loads-cruise

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

-rib-3d-geometry

-rib-elastic-properties

-rib-moments-of-inertia

-rib-weight

-spar-3d-geometry

-spa

-spa

-spa

-ski

-ski

-ski

-ski

-sti

-sti

-sti

-stl

r-elastic-properties

r-moments-of-lnertia

r-weight

n-3d-geometry

n-elastic-properties

n-moments-of-inertia

n-weight

ffener-3d-geometry

ffener-elastic-properties

ffener-weight

ffener-moments-of-inertia

178
Table 144. Design Relationships in Subproblem 6-06, cont.

vertical-spar-deformations-cruise is a function of:

vertical-structural-arrangement

horlzontal-attach-point-loads-cruise

vertical-aerodynamic-loads-cruise

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-propertles

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-skin-deformations-cruise is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-cruise

vertical-aerodynamic-loads-cruise

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertlcal-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

179
Table 144. Design Relationships in Subproblem 6-06, cont.

vertical-skin-deformations-cruise is a function of: (cont.)

vertical-stiffener-3d-geometry

vertlcal-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-jig-shape is a function of:

ve

ho

ve

ve

ve

ve

ve

ve

ve

ve

ve

ve

rtical-structural-arrangement

rizontal-attach-point-loads-cruise

rtical-rib-3d-geometry

rtical-rib-elastic-properties

rtical-rib-moments-of-inertia

rtical-spar-3d-geometry

rtical-spar-elastic-properties

rtical-spar-moments-of-inertia

rtical-skin-3d-geometry

rtical-skin-elastic-properties

rtlcal-skin-moments-of-inertia

rtical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-moments-of-inertia

180
Table 144. Design Relationships in Subproblem 6-06, cont.

empennage-attach-point-loads-turn is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-turn

vertical-aerodynamic-loads-turn

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

ve,,tical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-rib-deformations-turn is a function of:

vertica

horizon

vertica

vertica

vertica

vertlca

1-structural-arrangement

tal-attach-point-loads-turn

1-aerodynamic-loads-turn

l-rib-3d-geometry

1-rib-elastic-properties

1-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

181
Table 144. Design Relationships in Subproblem 6-06, cont.

vertlcal-rib-deformations-turn is a function of: (cont.)

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-sti

vertica

horizon

vertica

vertica

vertica

vertica

vertica

vertica

vertica

vertica

vertica

vertica

vertical

vertical

vertical

vertical

vertical

vertical

vertical

ffener-deformations-turn is a function of:

1-structural-arrangement

tal-attach-point-loads-turn

1-aerodynamlc-loads-turn

l-rib-3d-geometry

1-rib-elastlc-propertles

1-rib-moments-of-inertia

1-rib-weight

l-spar-3d-geometry

1-spar-elastic-properties

1-spar-moments-of-inertia

l-spar-weight

l-skin-3d-geometry

-skin-elastic-properties

-skin-moments-of-inertia

-skin-weight

-stiffener-3d-geometry

-stlffener-elastic-properties

-stiffener-welght

-stiffener-moments-of-inertia

182
Table 144. Design Relationships in Subproblem 6-06, cont.

vertical-spar-deformatlons-turn is a function of:

vertical-structural-arrangement

horlzontal-attach-point-loads-turn

vertical-aerodynamic-loads-turn

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stiffener-moments-of-inertia

vertical-skin,deformations-turn is a function of:

vertical-structural-arrangement

horizontal-attach-point-loads-turn

vertical-aerodynamic-loads-turn

vertical-rib-3d-geometry

vertical-rib-elastic-properties

vertical-rib-moments-of-inertia

vertical-rib-weight

vertical-spar-3d-geometry

vertical-spar-elastic-properties

vertical-spar-moments-of-inertia

vertical-spar-weight

vertical-skin-3d-geometry

vertical-skin-elastic-properties

vertical-skin-moments-of-inertia

vertical-skin-weight

183
Table 144. Design Relationships in Subproblem 6-06, cont.

vertical-skin-deformations-turn is a function of: (cont.)

vertical-stiffener-3d-geometry

vertical-stiffener-elastic-properties

vertical-stiffener-weight

vertical-stlffener-moments-of-inertia

verti cal-maneuvering-shape-turn is a function of:

ve

ho

ve

ve

vertica

vertica

vertica

vertica

vertica

vertica

vertica

vertica

rtical-structural-arrangement

rizontal-attach-point-loads-turn

rtical-aerodynamic-loads-turn

rtical-rib-3d-geometry

1-rlb-elastic-propertles

1-rib-moments-of-inertia

1-rib-weight

l-sp_r-3d-geometry

1-spar-elastic-properties

1-spar-moments-of-inertia

1-spar-weight

l-skin-3d-geometry

vertical-sk

vertical-sk

vertical-sk

vertical-st

vlrtlcal-st

vertical-st

vertical-st

in-elastic-properties

in-moments-of-inertia

in-weight

iffener-3d-geometry

Iffener-elastic-properties

iffener-weight

iffener-moments-of-inertia

vertical-rib-stresses-landing is a function

vertical-rib-deformatlons-landing

vertical-rib-elastic-properties

of:

vertical-spar-stresses-landing is a function

vertical-spar-deformations-landing

vertical-spar-elastic-properties

of:

184
Table 144. Design Relationships in Subproblem 6-06,

vertical-skin-stresses-landing is a function of:

vertlcal-skin-deformations-landing

vertical-skin-elastic-properties

cont.

vertical-stiffener-stresses-landing is a function

vertical.stiffener-deformations-landing

vertical-stiffener-elastic-properties

of:

horizontal-attach-point-loads-cruise is a function of:

horizontal-structural-arrangement

horizontal-aerodynamic-loads-cruise

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-rib-weight

hor_zontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horizontal-skin-weight

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

185
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-rib-deformations-cruise is a function of:

horizontal-structural-arrangement

horizontal-aerodynamic-loads-crulse

horizontal-rib-3d-geometry

horlzontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal

horizontal

horizontal

horizontal

horlzontal

horizontal

horizontal

hor%zontal

horlzontal

horlzontal

horlzontal

horlzontal

horlzontal

-rib-weight

-spar-3d-geometry

-spar-elastic-properties

-spar-moments-of-inertia

-spar-weight

-skin-3d-geometry

-skin-elastic-properties

-skin-moments-of-lnertia

-skin-weight

-stiffener-3d-geometry

-stiffener-elastic-properties

-stiffener-weight

-stiffener-moments-of-inertia

horizontal-stiffener-deformations-cruise

hor

hot

hor

hor

hot

hor

hot

izontal-structural-arrangement

izontal-aerodynamic-loads-cruise

izontal-rib-3d-geometry

izontal-rib-elastic-properties

izontal-rib-moments-of-inertia

izontal-rib-weight

izontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

hor_zontal-spar-welght

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horizontal-skin-weight

horlzontal-stiffener-3d-geometry

is a function of:

186
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal.stiffener-deformations-cruise is a function of: (cont.)

horizontal.stiffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

horiz ontal-spar-deformations-cruise is a

function

horizontal-structural-arrangement

horizontal-aerodynamic-loads-cruise

horizontal-rib-3d-geometry

horlzontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-rib-weight

hor_zontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

horlzontal-skin-3d-geometry

horizontal-skin-elastic-properties

horlzontal-skin-moments-of-inertia

horizontal-skin-weight

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horzzontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

of:

187
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-skin-deformations-cruise is a function of:

horizontal-structural-a

horizontal-aerodynamichorizontal-rib-3d-geome

horizontal-rib-elastichorizontal-rib-momentshorizontal-rib-weight

rrangement

loads-cruise

try

properties

of-lnertia

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horizontal-skin-weight

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

horizontal-jig-shape is a function of:

horizon

horizon

horizon

horizon

horizon

horizon

horizon

horizon

horizon

tal-structural-arrangement

tal-rib-3d-geometry

tal-rib-elastic-properties

tal-rib-moments-of-lnertia

tal-spar-3d-geometry

tal-spar-elastic-properties

tal-spar-moments-of-inertia

tal-skin-3d-geometry

tal-skin-elastic-properties

horlzontal-skin-moments-of-inertia

horlzontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

188
Table 144. Design Relationships in Subproblem 6-06, cont.

horlzontal-rlb-deformatlons-pull-up is a function of:

horizontal-structural-arrangement

horlzontal-aerodynamic-loads-pull-up

horizontal-rib-3d-geometry

horlzontal-rib-elastic-properties

horlzontal-rib-moments-of-inertla

horlzontal-rib-weight

hor_zontal-spar-3d-geometry

horizontal-spar-elastic-properties

horlzontal-spar-moments-of-inertia

horizontal-spar-weight

horlzontal-skin-3d-geometry

horizontal-skin-elastic-properties

horlzontal-skin-moments-of-inertia

horizontal-skin-weight

hor_zontal-stiffener-3d-geometry

horlzontal-stiffener-elastic-properties

horlzontal-stiffener-weight

horlzontal-stiffener-moments-of-inertia

horizontal-stiffener-deformations-pull-up is a

horlzontal-structural-arranEement

hor_zontal-aerodynamic-loads-pull-up

horlzontal-rib-3d-Eeometry

horizontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-rib-weight

hor_zontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

hor_zontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horlzontal-skin-weight

horlzontal-stiffener-3d-geometry

function of:

189
Table 144. Design Relationships in Subproblem 6-06, cont.

horlzontal-stiffener-deformations-pull-up is a function of: (cont.)

horizontal-stlffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

horizontal-spar-deformations-pull-up is a

hori

hori

hori

hori

hori

hori

hori

hori

hori

hor_

zontal-structural-arrangement

zontal-aerodynamic-loads-pull-up

zontal-rib-3d-geometry

zontal-rib-elastic-properties

zontal-rib-moments-of-inertia

zontal-rib-weight

zontal-spar-3d-geometry

zontal-spar-elastic-properties

zontal-spar-moments-of-inertia

zontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horlzontal-skin-weight

horlzontal-stiffener-3d-geometry

horlzontal-stiffener-elastlc-properties

horizontal-stiffener,weight

horlzontal-stlffener-moments-of-lnertia

function of:

190
Table 144. Design Relationships in Subproblem 6-06,

horizontal-skin-deformations-pull-up is a function

horizontal-st

horizontal-ae

horizontal-ri

horizontal-ri

horizontal-ri

horizontal-ri

ructural-arrangement

rodynamic-loads-pull-up

b-3d-geometry

b-elastic-properties

b-moments-of-inertia

b-weight

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horlzontal-skin-weight

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

cont.

of:

horizontal-attach-point-loads-turn is a function of:

horlzontal-structural-arrangement

horlzontal-aerodynamic-loads-turn

horlzontal-rib-3d-geometry

horizontal-rib-elastic-properties

horlzontal-rib-moments-of-inertia

horizontal-rib-weight

horlzontal-spar-3d-geometry

horlzontal-spar-elastic-properties

horlzontal-spar-moments-of-inertia

horizontal-spar-weight

horlzontal-skin-3d-geometry

horlzontal-skin-elastic-properties

horlzontal-skin-moments-of-inertia

horizontal-skin-weight

hor_zontal-stiffener-3d-geometry

191
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-attach-point-loads-turn is a function of: (cont.)

horlzontal-stiffener-elastic-properties

horlzontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

horizontal-rib-deformations-turn is a function of:

horizonta

horlzonta

horizonta

horizonta

horizonta

hor_zonta

horizonta

horizonta

horizonta

1-structural-arrangement

1-aerodynamic-loads-turn

l-rib-3d-geometry

1-rib-elastic-properties

1-rib-moments-of-inertia

1-rib-welght

l-spar-3d-geometry

1-spar-elastic-properties

1-spar-moments-of-inertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horizontal-skin-weight

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horizontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

192
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-stiffener-deformations-turn is a function of:

horizontal-structural-arrangement

horlzontal-aerodynamlc-loads-turn

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-rib-weight

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horlzontal-skin-elastic-properties

horlzontal-skin-moments-of-inertia

horlzontal-skin-weight

horlzontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horlzontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

horizon tal-spar-deformations-turn is a

horizontal-structural-arrangement

horizontal-aerodynamic-loads-turn

horizontal-rib-3d-geometry

horlzontal-rib-elastic-properties

horlzontal-rib-moments-of-inertia

horizontal-rib-weight

hor_zontal-spar-3d-geometry

horzzontal-spar-elastic-properties

horlzontal-spar-moments-of-inertia

horzzontal-spar-weight

horlzontal-skin-3d-geometry

horlzontal-skin-elastic-properties

horlzontal-skin-moments-of-inertia

horizontal-skin-weight

horizontal-stiffener-3d-geometry

function of:

193
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-spar-deformations-turn is a function of: (cont.)

horizontal-stiffener-elastic-properties

horlzontal-stiffener-welght

horizontal-stiffener-moments-of-inertia

horizontal-skin-deformations-turn is a function of:

horizontal-structural-arrangement

horlzontal-aerodynamic-loads-turn

hor

hor

hor

hor

hor

hor

hor

hor

hor

horl

hor%

hor_

hor%

hor_

hori

hori

izontal-rib-3d-geometry

%zontal-rib-elastic-properties

izontal-rib-moments-of-inertia

%zontal-rib-weight

izontal-spar-3d-geometry

izontal-spar-elastic-properties

izontal-spar-moments-of-inertia

izontal-spar-weight

%zontal-skin-3d-geometry

zontal-skin-elastic-properties

zontal-skin-moments-of-inertia

zontal-skin-weight

zcntal-stiffener-3d-gecmetry

zontal-stlffener-elastic-properties

zontal-stiffener-weight

zontal-stiffener-moments-of-inertia

194
Table 144. Design Relationships in Subproblem 6-06, cont.

horizontal-maneuverlng-shape-turn is a function of:

horizontal-structural-arrangement

horlzontal-aerodynamic-loads-turn

horizontal-rib-3d-geometry

horizontal-rib-elastic-properties

horizontal-rib-moments-of-inertia

horizontal-rib-weight

horizontal-spar-3d-geometry

horizontal-spar-elastic-properties

horizontal-spar-moments-of-inertia

horizontal-spar-weight

horizontal-skin-3d-geometry

horizontal-skin-elastic-properties

horizontal-skin-moments-of-inertia

horlzontal-skin-welght

horizontal-stiffener-3d-geometry

horizontal-stiffener-elastic-properties

horlzontal-stiffener-weight

horizontal-stiffener-moments-of-inertia

horizontal-rib-stresses-landing is a function

horizontal-rib-deformations-landing

horizontal-rib-elastic-properties

of:

horizontal-spar-stresses-landing is a function

horizontal-spar-deformations-landing

horizontal-spar-elastic-properties

of:

horizontal-skin-stresses-landing is a function

horizontal-skin-deformations-landing

horizontal-skin-elastic-properties

of:

horizontal-stiffener-stresses-landing is a function

horizontal-stiffener-deformations-landing

horizontal-stiffener-elastic-properties

of:

195
Table 144. Design Relationships in Subproblem 6-06, cont.

maneuvering-3d-shape-turn is a function of:

wlng-maneuvering-shape-turn

fuselage-maneuvering-shape-turn

vertical-maneuvering-shape-turn

vertical-location

horizontal-location

horizontal-maneuvering-shape-turn

win_-aerodynamic-loads-turn is a function of:

maneuvering-3d-shape-turn

beta-turn is a function of:

aileron-3d-geometry

rudder-3d-geometry

i -Z -Z

i -z -y

maneuvering-3d-shape-turn

i -x-z

delta-a-turn is a function of:

aileron-3d-geometry

rudder-3d-geometry

i -Z -Z

i-z -y

maneuvering- 3d-shape-turni -x -z

delta-r-turn is a function of:

.°

aileron-3d-geometry

rudder-3d-geometry

i -z -z

i -z -y

maneuvering- 3d-shape-turn

i -X -Z

196
Table 145. Subproblem 6-06 Interfaces

PREDECESSORS

Input Parameters To Subproblem 5-12

maneuvering-3d-shape-pull-up

Output Parameters To Subproblem 5-12

maneuvering-3d-shape-pull-up

Input Parameters To Subproblem 5-16

maneuverlng-3d-shape-pull-up

Output Parameters To Subproblem 5-16

maneuvering-3d-shape-pull-up

Input Parameters To Subproblem 5-14

wing-aerodynamic-loads-turn

horizontal-stiffener-moments-of-lnertia

horizontal-stiffener-elastlc-properties

horizontal-skin-moments-of-inertia

horizontal-skin-elastic

horizontal-spar-moments

horizontal-spar-elastic

horizontal-rib-momentshorlzontal-rib-elasticvertlcal-stiffener-mome

vertical-stiffener-elas

-properties

-of-lnertia

-properties

of-inertia

properties

nts-of-inertla

tic-properties

vertlcal-skin-moments-of-inertia

vertical-skin-elastic-properties

vertlcal-spar-moments-of-inertia

vertlcal-spar-elastic-properties

vertical-rib-moments-of-inertia

vertlcal-rib-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skln-elastlc-propertles

fuselage-stiffener-moments-of-inertia

fuselage-stiffener-elastic-properties

fuselage-frame-moments-of-inertia

fuselage-frame-elastic-properties

wing-aerodynamic-loads-pull-up

aileron-3d-geometry

wing-maneuvering-shape-turn

197
Table 145. Subproblem 6-06 Interfaces, cont.

Input Parameters To Subproblem 5-14 (cont.)

wing-attach-point-loads-turn

wing-maneuverlng-shape-pull-up

wing-attach-polnt-loads-pull-up

wing-attach-polnt-loads-cruise

vertical-stlffener-deformations-landing

vertlcal-rib-deformations-landing

vertical-spar-deformations-landing

vertlcal-sk£n-deformations-land£ng

horizontal-stiffener-deformations-landing

horizontal-rib-deformations-landing

horizontal-spar-deformations-landing

horizontal-skln-deformations-landlng

fuselage-stlffener-deformatlons-landing

fuselage-frame-deformations-landing

fuselage-skln-deformations-landing

fuselage-skln-welght

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselage-stlffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

horizontal-skln-welght

horizontal-stlffener-weigbt

horizontal-spar-welght

horizontal-rib-weight

198
Table 145. Subproblem 6-06 Interfaces, conto

Input Parameters To Subproblem 5-14 (cont.)

horizontal-skin-3d-geometry

horlzontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horizontal-rib-3d-geometry

vertical-stiffener-weight

vertical-spar-weight

vertical-rib-weight

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

horizontal-structural-arrangement

rudder-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertical-skin-3d-geometry

199
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 5-14

wlng-aerodynamlc-loads-turn

horlzontal-stlffener-moments-of-lnertia

horizontal-stlffener-elastlc-propertles

horizontal-skln-moments-of-lnertia

horizontal-skin-elastlc-properties

horizontal-spar-moments-of-inertia

horizontal-spar-elastic-propertles

horizontal-rib-moments-of-inertla

horizontal-rib-elastic-properties

vertical-stiffener-moments-of-inertia

vertical-stlffener-elastlc-properties

vertical-skln-moments-of-inertla

vertical-skln-elastic-propertles

vertical-spar-moments-of-inertla

vertical-spar-elastic-properties

vertical-rib-moments-of-lnertia

vertical-rib-elastic-properties

fuselage-skin-moments-of-inertia

fuselage-skin-elastic-properties

fuselage-stiffener-moments-of-inertla

fuselage-stiffener-elastic-properties

fuselage-frame-moments-of-lnertia

fuselage-frame-elastic-properties

wing-aerodynamic-loads-pull-up

aileron-3d-geometry

wlng-maneuvering-shape-turn

200
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 5-14 (cont.)

wing-attach-polnt-loads-turn

wing-maneuvering-shape-pull-up

wlng.attach-polnt-loads-pull-up

wing-attach-polnt-loads-cruise

vertical-stlffener-deformations-landing

vertical-rib-deformations-landing

vertical-spar-deformatlons-landing

vertical-skin-deformations-landing

horizontal-stiffener-deformatlons-landing

horizontal-rib-deformations-landing

horizontal-spar-deformations-landing

horizontal-skin-deformations-landing

fuselage-stlffener-deformations-landlng

fuselage-frame-deformations-landing

fuselage-skin-deformations-landing

fuselage-skin-weight

fuselage-skin-3d-geometry

fuselage-stiffener-weight

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

horizontal-skin-weight

horlzontal-stiffener-weight

horizontal-spar-weight

horizontal-rib-welght

201
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 5-14 (cont.)

horizontal-skin-3d-geometry

horizontal-stiffener-3d-geometry

horizontal-spar-3d-geometry

horizontal-rib-3d-geometry

vertical-stlffener-welght

vertical-spar-weight

vertical-rib-welght

vertical-stiffener-3d-geometry

vertical-spar-3d-geometry

vertical-rib-3d-geometry

horlzontal-structural-arrangement

rudder-3d-geometry

vertical-structural-arrangement

vertical-skln-welght

vertical-skin-3d-geometry

Input Parameters To Subproblem 5-13

vertical-locatlon

Input Parameters To Subproblem 5-15

horizontal-location

Input Parameters To Subproblem 5-09

fuselage-aerodynamic-loads-cruise

Input Parameters To Subproblem 5-11

vertical-aerodynamic-loads-cruise

Input Parameters To Subproblem 5-10

horizontal-aerodynamlc-loads-cruise

Input Parameters To Subproblem 5-17

i -z -z

i -z -y

i -x -z

202
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters

I-Z-Z

t-z-y

i-X-Z

To Subproblem 5-17

SUCCESSORS

Input Parame

fuselag

maneuve

Input Parame

horizon

maneuve

Input Parame

vertica

maneuve

Input Parame

tars To Subproblem 7-02

e-aerodynamic-loads-pull-up

ring-3d-shape-pull-up

tars To Subproblem 7-03

tal-aerodynamic-loads-pull-up

ring-3d-shape-pull-up

tars To Subproblem 7-04

1-aerodynamic-loads-pull-up

ring-3d-shape-pull-up

tars To Subproblem 7-05

fuselage-frame-deformatlons-cruise

fuselage-frame-elastic-properties

Input Parameters To

fuselage-frame

fuselage-frame

Input Parameters To

fuselage-frame

fuselage-frame

Input Parameters To

fuselage-frame

Subproblem 7-08

-deformations-pull-up

-elastic-properties

Subproblem 7-11

-deformations-turn

-elastic-properties

Subproblem 7-q3

-elastic-properties

203
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 7-43

fuselage-frame-elastlc-propertles

Input Parameters To Subproblem 7-06

fuselage-stlffener-deformations-cruise

fuselage-stlffener-elastic-properties

Input Parameters To Subproblem 7-09

fuselage-stiffener-deformations-pull-up

fuselage-stiffener-elastlc-properties

Input Parameters To Subproblem 7-12

fuselage-stiffener-deformatlons-turn

fuselage-stiffener-elastic-properties

Input Parameters To Subproblem 7-44

fuselage-stiffener-elastic-properties

Output Parameters To Subproblem 7-44

fuselage-stiffener-elastic-propertles

Input Parameters To Subproblem 7-07

fuselage-skin-deformations-crulse

fuselage-skin-elastic-properties

Input Parameters To Subproblem 7-10

fuselage-skin-deformations-pull-up

fuselage-skin-elastic-properties

Input Parameters To Subproblem 7-13

fuselage-skln-deformatlons-turn

fuselage-skln-elastic-properties

Input Parameters To Subproblem 7-42

fuselage-skin-elastic-properties

204
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 7-42

fuselage-skin-elastlc-properties

Input Parameters To Subprcblem 7-26

vertical-rlb-deformations-cruise

vertical-rlb-elastic-properties

Input Parameters To Subprcblem 7-30

vertical-rib-deformations-pull-up

vertical-rib-elastic-properties

Input Parameters To Subproblem 7-34

vertical-rib-deformations-turn

vertical-rib-elastic-properties

Input Parameters To Subproblem 7-51

vertical-rib-elastic-properties

Output Parameters To Subproblem 7-51

vertical-rib-elastlc-properties

Input Parameters To Subproblem 7-28

vertical-spar-deformat

vertical-spar-elasticInput Parameters To Subprob

vertical-spar-deformat

vertical-spar-elasticInput Parameters To Subprob

vertical-spar-deformat

vertical-spar-elasticInput Parameters To Subprob

vertical-spar-elasticions-cruise

properties

lem 7-32

ions-pull-up

properties

lem 7-36

ions-turn

properties

lem 7-50

properties

205
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 7-50

vertical-spar-elastic-properties

Input Parameters To Subproblem 7-29

vertical-skin-deformatlons-cruise

vertical-skln-elastic-properties

Input Parameters To Subproblem 7-33

vertical-skin-deformations-pull-up

vertical-skin-elastic-propertles

Input Parameters To Subproblem 7-37

vertical-skin-deformations-turn

vertical-skin-elastic-properties

Input Parameters To Subproblem 7-49

vertical-skin-elastlc-properties

Output Parameters To Subproblem 7-"9

vertical-skin-elastic-properties

Input Parameters To Subproblem 7-27

vertical-stiffener-deforma

vertical-stiffener-elastlc

Input Parameters To Subproblem

vertical-stiffener-deforma

vertical-stlffener-elastic

Input Parameters To Subproblem

vertlcal-stlffener-deforma

vertical-stlffener-elastlc

Input Parameters To Subproblem

vertlcal-stlffener-elastic-propertles

tions-crulse

-properties

7-31

tions-pull-up

-properties

7-35

tions-turn

-properties

7-52

206
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 7-52

vertical-stiffener-elastic-propertles

Input Parameters To Subproblem 7-14

horizontal-rib-deformations-cruise

horizontal-rib-elastic-properties

Input Parameters To Subproblem 7-18

horizontal-rib-deformations-pull-up

horizontal-rib-elastic-propertles

Input Parameters To Subproblem 7-22

horizontal-rib-deformations-turn

horizontal-rib-elastic-properties

Input Parameters To Subproblem 7-47

horizontal-rib-elastic-properties

Output Parameters To Subproblem 7-47

horizontal-rib-elastlc-properties

Input Parameters To Subproblem 7-16

horizontal-spar-deformations-cruise

horizontal-spar-elastic-properties

Input Parameters To Subproblem 7-20

horizontal-spar-deformations-pull-up

horizontal-spar-elastic-properties

Input Parameters To Subproblem 7-24

horlzontal-spar-deformations-turn

horizontal-spar-elastlc-properties

Input Parameters To Subproblem 7-46

horizontal-spar-elastic-properties

2O7
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 7-46

horizontal-spar-elastic-propertles

Input Parameters To Subproblem 7-17

horizontal-skin-deformatlons-crulse

horizontal-skln-elastic-propertles

Input Parameters To Subproblem 7-21

horizontal-skin-deformatlons-pull-up

horlzontal-skin-elastic-propertles

Input Parameters To Subproblem 7-25

horizontal-skin-deformations-turn

horizontal-skin-elastic-properties

Input Parameters To Subproblem 7-45

horizontal-skin-elastic-propertles

Output Parameters To $ubproblem 7-45

horizontal-skin-elastlc-properties

Input Parameters To Subproblem 7-15

horlzontal-stlffener-deformatlons-cruise

horizontal-stiffener-elastlc-properties

Input Parameters To Subproblem 7-19

horizontal-stiffener-deformations-pull-up

horizontal-stlffener-elastic-properties

Input Parameters To Subproblem 7-23

horizontal-stlffener-deformations-turn

horizontal-stiffener-elastic-properties

Input Parameters To Subproblem 7-48

horizontal-stiffener-elastic-properties

208
Table 145. Subproblem 6-06 Interfaces, cont.

Output Parameters To Subproblem 7-48

horizontal-stiffener-elastic-properties

Input Parameters To Subproblem 7-53

fuselage-aerodynamic-loads-turn

maneuvering-3d-shape-turn

Input Parameters To Subproblem 7-55

vertical-aerodynamic-loads-turn

maneuvering-3d-shape-turn

Input Parameters To Subproblem 7-54

horizontal-aerodynamic-loads-turn

maneuvering-3d-shape-turn

Table 146. Design Relationships in Subproblem

rudder-actuator-moments-of-inertia is a

rudder-actuator-geometry

6-07

function of:

rudder-actuator-normal-mode-shapes is a

rudder-actuator-geometry

rudder-actuator-moments-of-inertia

rudder-actuator-elastic-properties

function of:

rudder-actuator-normal-mode-frequencies is a

rudder-actuator-geometry

rudder-actuator-moments-of-inertia

rudder-actuator-elastic-properties

function of:

209
Table 146. Design Relationships in Subproblem 6-07,

rudder-flutter-speed is a function of:

rudder-actuator-normal-mode-frequencies

rudder-quasi-steady-aerodynamic-loads

cont.

rudder-actuator-elastic-properties is an independent design paramete

Table 147. Subproblem 6-07

PREDECESSORS

Interfaces

Output Parameters To Subproblem 5-14

rudder-actuator-normal-mode-shapes

rudder-quasi-steady-aerodynamic-loads

rudder-actuator-geometry

Table 148. Design Relationships in Subproblem

rudder-max-hinge-moment is a function of:

max-airplane-beta

max-rudder-delta-r

rudder-3d-geometry

6-08

max-airplane-beta is an independent design parameter

max-rudder-delta-r is an independent design parameter

210
Table 149. Subproblem 6-08 Interfaces

PREDECESSORS

Output Parameters To Subproblem

rudder-max-hinge-moment

rudder-3d-geometry

5-14

Table 150. Desisn Relationships in Subproblem 6-09

wing-flutter-speed is a function of:

aircraft-quasi-st_ady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-frequencies-flight

aircraft-normal-mode-shapes-flight

is a function of:

empennage-flutter-speed is a function of:

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

alrcraft-normal-mode-frequencies-flight

wing-skin-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

211
Table 150. Design Relationships in Subproblem 6-09, cont.

wing-spar-deformations-gust is a function of:

gust-dynamlc-loads

aircraft-quasi-steady-aerodynamlc-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

wing-rib-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

wing-stiffener-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamlc-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

fuselage-skin-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-fllght

fuselage-frame-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-!oads-flight

alrcraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

fuselage-stiffener-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

alrcraft-normal-mode-shapes-flight

alrcraft-normal-mode-frequencles-flight

212
Table 150. Design Relationships in Subproblem 6-09, cont.

horizontal-skin-deformatlons-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

horizontal-spar-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-fllght

horizontal-rib-deformations-gust is a function of:

gust-_ynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

horizontal-stiffener-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

vertical-skin-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

vertical-spar-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

213
Table 150. Design Relationships in Subproblem 6-09, cont.

vertical-rib-deformatlons-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

alrcraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

vertical-stiffener-deformations-gust is a function of:

gust-dynamic-loads

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-shapes-flight

aircraft-normal-mode-frequencies-flight

gust-dynamic-loads is an independent design parameter

Table 151. Subproblem 6-09

PREDECESSORS

Interfaces

Output Parameters To Subproblem 5-14

aircraft-quasi-steady-aerodynamic-loads-flight

aircraft-normal-mode-frequencies-flight

aircraft-normal-mode-shapes-flight

SUCCESSORS

Input Parameters To Subproblem 7-38

wing-skin-deformations-gust

Output Parameters To Subproblem 7-38

wlng-skin-deformations-gust

214
Table 151. Subproblem 6-09 Interfaces, cont.

Input Parameters To 3ubproblem 7-39

wing-spar-deformatlons-gust

Output Parameters To Subproblem 7-39

wing-spar-deformations-gust

Input Parameters To Subproblem ?-40

wing-rib-deformations-gust

Output Parameters To Subproblem 7-40

wlng-rib-deformations-gust

Input Parameters To. Subproblem ?-41

wing-stiffener-deformations-gust

Output Parameters To Subprobiem 7-41

wing-stiffener-deformations-gust

Input Parameters To Subproblem 7-42

fuselage-skln-deformatlons-gust

Output Parameters To Subproblem 7-42

fuselage-skin-deformations-gust

Input Parameters To Subproblem ?-43

fuselage-frame-deformations-gust

Output Parameters To _ubproblem 7-q3

fuselage-frame-deformations-gust

Input Parame£ers To Subproblem 7-44

fuselag_stiffener-deformations-gust

215
Table 151. Subproblem 6-09 Interfaces, cont.

Output Parameters To Subproblem 7-_4

fuselage-stlffener-deformations-gust

Input Parameters To Subproblem 7-45

horlzontal-skin-deformations-gust

Output Parameters To Subproblem 7-45

horizontal-skin-deformations-gust

Input Parameters To Subproblem 7-46

horizontal-spar-deformations-gust

.Output Parameters To Subproblem 7-46

horizontal-spar-deformations-gust

Input Parameters To Subproblem 7-47

horizontal-rib-deformations-gust

Output Parameters To Subproblem 7-47

horizontal-rlb-deformatlons-gust

Input Parameters To $ubproblem 7-48

horizontal-stiffener-deformatlons-gust

Output Parameters To Subproblem 7-48

horizontal-stiffener-deformations-gust

Input Parameters To Subproblem 7-49

vertical-skln-deformations-gust

Output Parameters To Subproblem 7-49

vertlcal-skin-deformations-_ust

216
Table 151. Subproblem 6-09 Interfaces, cont.

Input Parameters To Subproblem 7-50

vertical-spar-deformations-gust

Output Parameters To Subproblem 7-50

vertical-spar-deformations-gust

Input Parameters To Subproblem 7-51

vertical-rib-deformations-gust

Output Parameters To Subproblem 7-51

vertical-rib-deformations-gust

Input Parameters To Subproblem 7-52

vertical-stlffener-deformations-gust

Output Parameters To Subproblem 7-52

vertical-stiffener-deformations-gust

Table 152. Design Relationships in Subproblem 6-10

nose-landing-gear-design-concept is an independent

nose-landing-gear-kinematics is a function

nose-landing-gear-design-concept

nose-landing-gear-3d-geometry

of:

design

paramet_

217
Table 153. Subproblem 6-10 Interfaces

PREDECESSORS

Input Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

nose-landing-gear-design-concept

Output Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

nose-landing-gear-design-concept

Input Parameters To Subproblem 5-03

nose-landing-gear-design-concept

Table 154. Design Relationships in Subproblem 6-11

wing-rib-stresses-cruise is a function of:

wing-rib-deformations-cruise

wing-rib-elastic-properties

win_-rib-elastic-properties is an independent design parameter

218
Table 154. Design Relationships in Subproblem 6-11, cont.

wing-Jig-shape is a function of:

wing

wing

wing

wing

wing

wing

wing

wing

-structural-arrangement

-rib-3d-geometry

-rib-elastic-properties

-rib-moments-of-inertia

-spar-3d-geometry

-spar-elastic-properties

-spar-moments-of-inertia

-skin-3d-geometry

wing-skin-elastic-properties

wing-skin-moments-of-inertia

wing-stiffener-3d-geometry

wing-stiffener-elastic-properties

wing-stiffener-moments-of-inertia

wing-rib-stresses-pull-up is a functzon

wing-rib-deformations-pull-up

wing-rib-elastic-properties

of:

wing-rib-stresses-turn is a function

wing-rib-deformations-turn

wing-rib-elastlc-properties

_f:

wing-rib-stresses-landing is a function

wing-rib-deformations-landing

wing-rib-elastlc-properties

of:

wing-rib-moments-of-inertia 'is an independent design parameter

wing-spar-elastic-properties" is an independent design parameter

wing-spar-moments-of-inertia is an independent design parameter

wing-skin-elastic-properties is an independent design parameter

219
Table 154. Design Relationships in Subproblem 6-11, cont.

wing-skin-moments-of-inertia is an independent design parameter

wing-stiffener-elastic-properties is an independent design parameter

win&-stiffener-moments-of-inertia is an independent design parameter

wing-spar-stresses-cruise is a function

wing-spar-deformations-cruise

wing-spar-elastic-properties

of:

wing-spar-stresses-pull-up is a function

wing-spar-deformations-pull-up

wing-spar-elastic-properties

of:

wing-spar-stresses-turn is a function

wing-spar-deformations-turn

wing-spar-elastic-propertles

of:

wing-spar-stresses-landing is a function

wing-spar-deformations-landing

wlng-spar-elastic-properties

of:

wing-skin-stresses-cruise is a function

wing-skin-deformations-cruise

wing-skin-elastic-properties

of:

wing-skin-stresses-pull-up is a function

wing-skin-deformations-pull-up.

wing-skln-elastic-properties

of:

220
Table 154. Design Relationships in Subproblem

wing-skin-stresses-turn is a function of:

wing-skin-deformations-turn

wing-skin-elastic-properties

6-11,

wing-skin-stresses-landing is a function

wing-skin-deformatlons-landing

wing-skAn-elastic-properties

of:

wing-stiffener-stresses-cruise is a function

wing-stiffener-deformations-cruise

wlng-stiffener-elastic-properties

of:

wing-stiffener-stresses-pull-up is a function

wing-stiffener-deformations-pull-up

wing-stiffener-elastic-properties

wing-stiffener-stresses-turn is a function

wing-stiffener-deformations-turn

wing-stiffener-elastic-properties

of:

wing-stiffener-stresses-landing is a function

wing-stiffener-deformations-landing

wlng-stiffener-elastic-properties

cont.

of:

of:

221
Table 155. Subproblem 6-11 Interfaces

PREDECESSORS

Output Parameters To Subproblem 5-14

wlng-stiffener-moments-of-lnertia

wing-stlffener-elastic-properties

wing-skin-moments-of-inertla

wing-skin-elastic-properties

wing-spar-moments-of-lnertia

wlng-spar-elastic-propertles

wing-rlb-moments-of-inertla

wlng-rib-elastic-propertles

wlng-skln-deformatlons-turn

wing-spar-deformations-turn

wing-stiffener-deformations-turn

wing-rib-deformations-turn

wing-skin-deformations-pull-up

wing-spar-deformatlons-pull-up

wing-stiffener-deformatlons-pull-up

wing-rib-deformations-pull-up

wing-skin-deformatlons_crulse

wing-spar-deformatlons-crulse

wing-stiffener-deformations-cruise

wing-rib-deformations-crulse

wing-stiffener-deformatlons-landlng

wlng-rib-deformatlons-landing

wing-spar-deformatlons-landing

wing-s_in-deformations-landing

222
Table 155. Subproblem 6-11 Interfaces, cont.

Output Parameters To Subproblem 5-14 (cont.)

wing-skln-3d-geometry

wlng-stlffener-3d-geometry

wlng-spar-3d-geometry

wlng-rib-3d-geometry

wing-structural-arrangement

SUCCESSORS

Input Parameters To Subproblem 7-40

wing-rib-elastic-propertles

Output Parameters To Subproblem 7-40

wing-rib-elastic-properties

Input Parameters To Subproblem 7-39

wing-spar-elastlc-properties

Output Parameters To Subproblem ?-39

wing-spar-elastic-properties

Input Parameters To Subproblem ?-38

wing-skin-elastic-properties

Output Parameters To Subproblem 7-38

wing-skin-elastic-properties

Input Parameters To Subproblem 7-41

wlng-stlffener-elastlc-properties

Output Parameters To Subproblem ?-41

wing-stiffener-elastic-properties

223
Table 156. Design Relationships in Subproblem 6-12

vertical-moments-of-lnertia is a function of:

vertical-structural-arrangement

vertical-rib-3d-geometry

vertical-rib-weight

vertioal-spar-3d-geometry

vertical-spar-weight

vertical-stiffener-3d-geometry

vertical-stiffener-weight

vertical-skin-3d-geometry

vertical-skin-weight

Table 157. Subproblem 6-12

PREDECESSORS

Interfaces

Input Parameters To Subproblem 5-17

vertical-moments-of-inertia

Output Parameters To Subproblem 5-17

vertlcal-moments-of-lnertia

Input Parameters To Subproblem 5-14

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

vertical

-stiffener-welght

-spar-weight

-rib-weight

-stlffener-3d-geometry.

-spar-3d-geometry

-rib-3d-geometry

-structural-arrangement

-skln-welght

-skin-3d-geometry

224
Table 157. Subproblem 6-12 Interfaces, cont.

Output Parameters To Subproblem 5-14

vertlcal-stiffener-weight

vertlcal-spar-weight

vertlcal-rib-weight

vertlcal-stiffener-3d-geometry

vertlcal-spar-3d-geometry

vertlcal-rib-3d-geometry

vertical-structural-arrangement

vertical-skin-weight

vertlcal-skln-3d-geometry

Table 158. Design Relationships in Subproblem

maln-landing-gear-moments-of-inertia is a

main-landing-gear-3d-geometry

6-13

function of:

Table 159. Subproblem 6-13

PREDECESSOR_

Interfaces

Input Parameters To Subproblem 5-17

main-landing-gear-moments-of-inertia

Output Parameters To Subproblem 5-17

main-landing-gear-moments-of-lnertia

Input Parameters To Subproblem 5-14

maln-landing-gear-moments-of-lnertia

main-landing-gear-3d-geometry

Output Parameters To Subproblem 5-14

main-landing-gear-moments-of-lnertia

main-landing-gear-3d-geometry

225
Table 160. Design Relationships in Subproblem 6-14

fuselage-moments-of-inertia is a function of:

fuselage-structural-arrangement

fuselage-frame-3d-geometry

fuselage-frame-weight

fuselage-skin-3d-geometry

fuselage-skin-weight

fuselage-stiffener-3d-geometry

fuselage-stiffener-weight

Table 161. Subproblem

PREDECESSORS

6-14 Interfaces

Input Parameters To Subproblem 5-17

fuselage-moments-of-inertla

Output Parameters To Subproblem 5-17

fuselage-moments-of-inertla

Input Parameters To Subproblem 5-14

fuselage-skin-welght

fuselage-skin-3d-geometry

fuselage-stiffener-welght

fuselage-stlffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

226
Table 161. Subproblem 6-14 Interfaces, cont.

Output Parameters To Subproblem 5-14

fuselage-skln-weight

fuselage-skln-3d-geometry

fuselage-stlffener-welght

fuselage-stiffener-3d-geometry

fuselage-frame-weight

fuselage-frame-3d-geometry

fuselage-structural-arrangement

Table 162. Design Relationships in Subproblem 6-15

wing-moments-of-inertia is a function of:

wing-structural-arrangement

w_ng-rib-3d-geometry

wlng-rib-weight

wlng-spar-3d-geometry

w_ng-spar-weight

w_ng-stiffener-3d-geometry

w_ng-stiffener-weight

w_ng-skin-3d-geometry

w_ng-skin-welght

Table 163. Subproblem 6-15

PREDECESSORS

Interfaces

Input Parameters To Subproblem 5-17

wing-moments-of-inertia

Output Parameters To Subproblem 5-17

wing-moments-of-inertia

227
Table 163. Subproblem 6-15 Interfaces, cont.

Input Parameters To Subproblem 5-14

wing-skln-welght

wlng-stlffener-weight

wing-spar-weight

wing-rib-weight

wlng-skin-3d-geometry

wing-stlffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry

wing-structural-arrangement

Output Parameters To Subproblem 5-14

wlng-skin-weight

wing-stiffener-weight

wing-spar-weight

wing-rib-weight

wing-skin-3d-geometry

wlng-stiffener-3d-geometry

wing-spar-3d-geometry

wing-rib-3d-geometry

wlng-structural-arrangement

Table 164. Design Relationships in Subproblem 6-16

horizontal-moments-of-inertia is a function of:

horizontal-structural-arrangement

horizontal-rib-3d-geometry

horlzontal-rib-welght

horizontal-spar-3d-geometry

horizontal-spar-weight

horlzontal-stlffener-3d-geometry

horizontal-stlffener-welght

horizontal-skin-3d-geometry

horlzontal-skin-weight

228
Table 165. Subproblem 6-16 Interfaces

PREDECESSORS

Input Parameters To Subproblem 5-17

horizontal-moments-of-inertia

Output Parameters To Subproblem 5-17

horizontal-moments-of-inertia

Input Parameters To Subproblem 5-14

horizontal-skin-weight

horlzontal-stiffener-weight

horlzonta

horlzonta

horizonta

horizonta

horizonta

horizonta

horizonta

1-spar-weight

1-rib-weight

l-skin-3d-geometry

l-stiffener-3d-geometry

l-spar-3d-geometry

l-rib-3d-geometry

1-structural-arrangement

Output Parameters To Subproblem 5-14

horizontal-skin-weight

horizontal-stiffener-welgbt

horizontal-spar-weight

horizontal-rib-weight

horizontal-skin-Bd-geometry

horizontal-stiffener-Bd-geometry

horizontal-spar-3d-geometry

horizontal-rib-Bd-geometry

horizontal-structural-arrangement

229
Table 166. Design Relationships in Subproblem 6-17

nose-landing-gear-moments-of-inertia

nose-landing-gear-3d-geometry

is a function of:

Table 167. Subproblem 6-17

PREDECESSORS

Interfaces

Input Parameters To Subproblem 5-17

nose-landing-gear-moments-of-inertia

Output Parameters To Subproblem 5-17

nose-landing-gear-moments-of-inertia

Input Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

Output Parameters To Subproblem 5-19

nose-landing-gear-3d-geometry

Table 168. Design Relationships in Subproblem 6-18

load-factor is an independent design parameter

230
Table 169. Subproblem 6-18 _nterfaces

PREDECESSORS

Input Parameters To Subproblem 5-12

load-factor

Output Parameters To Subproblem 5-12

load-factor

Input Parameters To Subproblem 5-16

load-factor

Output Parameters To Subproblem 5-16

load-factor

Table 170. Design Relationships in Subproblem 6-19

main-landing-gear-kinematics is a function of:

main-landing-gear-design-concept

main-landing-gear-3d-geometry

Table 171. Subproblem 6-19

PREDECESSORS

Interfaces

Output Parameters To Subproblem 5-14

main-landing-gear-design-concept

main-landing-gear-3d-geometry

231
Table 172. Design Relationships in 3ubproblem 6-20

elevator-actuator-moments-of-inertia is a function of:

elevator-actuator-geometry

elevator-actuator-normal-mode-shapes is a function of:

elevator-actuator-geometry

elevator-actuator-moments-of-inertia

elevator-actuator-elastic-properties

elevator-actuator-normal-mode-frequencies

elevator-actuator-geometry

elevator-actuator-moments-of-inertia

elevator-actuator-elastic-propertles

is a function of:

elevator-flutter-speed is a function of:

elevator-actuator-normal-mode-frequencies

elevator-quasi-steady-aerodynamic-loads

elevator-actuator-elastic-properties is an independent

design parameter

Table 173. Subproblem 6-20 Interfaces

PREDECESSORS

Input Parameters To Subproblem 5-14

elevator-actuator-geometry

Output Parameters To Subproblem 5-14

elevator-actuator-geometry

232
Table 173. Subproblem 6-20 Interfaces, cont.

Input Parameters To Subproblem 5-18

elevator-quasl-steady-aerodynamic-loads

elevator-actuator-normal-mode-shapes

Table 174. Design Relationships in Subproblem 6-21

aileron-actuator-moments-of-inertia is a function of:

aileron-actuator-geometry

aileron-actuator-normal-mode-shapes is a function of:

aileron-actuator-geometry

aileron-actuator-moments-of-inertia

aileron-actuator-elastic-properties

aileron-actuator-normal-mode-frequencles

aileron-actuator-geometr?

aileron-actuator-moments-of-inertia

aileron-actuator-elastic-properties

is a function of:

aileron-flutter-speed is a function of:

aileron-actuator-normal-mode-frequencies

aileron-quasi-stead?-aerodynamic-loads

aileron-actuator-elastic-properties is an independent

design parameter

233
Table 175. Subproblem 6-21 Interfaces

PREDECESSORS

Output Parameters To Subproblem 5-14

aileron-actuator-normal-mode-shapes

aileron-quasi-steady-aerodynamic-loads

aileron-actuator-geometry

Table 176. Design Relationships in Subproblem 6-22

aileron-max-hinge-moment is a function of:

max-wing-alpha

max-aileron-del%a-e

aileron-3d-geometry

max-wing-alpha is an independent design parameter

max-aileron-delta-e is an independent design parameter

Table 177. Subproblem 6-22

PREDECESSORS

Interfaces

Output Parameters To Subproblem

aileron-max-hinge-moment

aileron-3d-gecmetry

5-i4

234
Table 178. Design Relationships in Subproblem 6-23

aircraft-quasi-steady-aerodynamlc-loads-landing

aircraft-normal-mode-frequencies-landing

aircraft-normal-mode-shapes-landing

is a function of:

Table 179. Subproblem 6-23 Interfaces

PREDECESSORS

Output Parameters To Subproblem 5-14

aircraft-quasi-steady-aerodynamic-loads-landing

aircraft-normal-mode-frequencies-landing

aircraft-normal-mode-shapes-landing

Table 180. Design Relationships in Subproblem

wing-cp-distribution is a function of:

wing-3d-shape

6-24

Table 181. Subproblem

PREDECESSORS

Output Parameters To

wing-3d-shape

6-24 Interfaces

Subproblem 5-14

235
Table 182. Design Relationships in Subproblem 7-01

inlet-3d-geometry is an independent design parameter

Table 183. Subproblem 7-01

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-02

inlet-3d-geometry

Input Parameters To Subproblem 6-03

inlet-3d-geometry

Input Parameters To Subproblem 6-04

inlet-3d-geometry

Output Parameters To Subproblem 6-04

inlet-3d-geometry

Table 184. Design Relationships in Subproblem 7-02

fuselage-aerodynamic-loads-pull-up is a function of:

maneuvering-3d-shape-pull-up

236
Table 185. Subproblem 7-02 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

fuselage-aerodynamic-loads-pull-up

maneuvering-3d-shape-pull-up

Table 186. Design Relationships in Subproblem 7-03

horizontal-aerodynamic-loads-pull-up is a function

maneuvering-3d-shape-pull-up

of:

Table 187. Subproblem 7-03

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horizontal-aerodynamlc-loads-pull-up

maneuvering-3d-shape-pull-up

Table 188. Design Relationships in Subproblem

vertical-aerodynamic-loads-pull-up is a

maneuvering-3d-shape-pull-up

7-04

function of:

237
Table 189. Subproblem 7-04 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-aerodynamic-loads-pull-up

maneuvering-3d-shape-pull-up

Table 190. Design Relationships in Subprublem 7-05

fuselage-frame-stresses-cruise is a function

fuselage-frame-deformatlons-cruise

fuselage-frame-elastic-properties

of:

Table 191. Subproblem 7-05

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

fuselage-frame-deformations-cruise

fuselage-frame-elastic-properties

Table !92. Design Relationships in Subproblem 7-06

fuselage-stiffener-stresses-cruise is a function

fuselage-stiffener-deformations-cruise

fuselage-stiffener-elastic-properties

of:

238
Table 193. Subproblem 7-06 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

fuselage-stiffener-deformations-cruise

fuselage-stlffener-elastic-properties

Table 194. Design Relationships in Subproblem 7-07

fuselage-skin.-stresses-crulse is a function of:

fuselage-skin-deformations-cruise

fuselage-skin-elastic-properties

Table 195. Subproblem 7-07

PREDECESSORS

Interfaces

Table

Output Parameters To Subproblem 6-06

fuselage-skiD-deformations-cruise

fuselage-skin-elastic-properties

196. Design Relationships in

fuselage-frame-stresses-pull-up

fuselage-frame-deformations-pull-up

fuselage-frame-elastic-properties

Subproblem 7-08

is a function of:

S39
Table 197. Subproblem 7-08 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

fuselage-frame-deformations-pull-up

fuselage-frame-elastic-properties

Table 198. Design Relationships in Subproblem 7-09

fuselage-stiffener-stresses-pull-up is a function

fuselage-stiffener-deformations-pull-up

fuselage-stiffener-elastic-properties

of:

Table 19@. Subproblem 7-09

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

fuselage-stiffener-deformations-pull-up

fuselage-stiffener-elastic-properties

200. Design Relationships in Subproblem 7-10

fuselage-skin-stresses-pull-up is a function of:

fuselage-skin-deformations-pull-up

fuselage-skln-elastic-properties

240
Table 201. Subproblem 7-I0 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

fuselage-skin-deformations-pull-up

fuselage-skin-elastic-properties

Table 202. Design Relationships in Subproblem 7-11

fuselage-frame-stresses-turn is a function of:

fuselage-frame-deformations-turn

fuselage-frame-elastic-propertles

Table 203. Subproblem 7-11

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

fuselage-frame-deformations-turn

fuselage-frame-elastic-properties

Table 20_. Design Relationships in Subproblem 7-12

fuselage-stiffener-stresses-turn is a function

fuselage-stiffener-deformations-turn

fuselage-stiffener-elastic-properties

of:

241
Table 205. Subproblem 7-12 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

fuselage-stiffener-deformations-turn

fuselage-stiffener-elastic-properties

Table 206. Design Relationships in Subproblem 7-13

fuselage-skin-stresses-turn is a function of:

fuselage-skin-deformations-turn

fuselage-skin-elastlc-propertles

T_ble 207. Subproblem 7-13

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

fuselage-skln-deformations-turn

fuselage-skin-elastic-properties

Table 208. Design Relationships in Subproblem 7-14

horizontal-rib-stresses-cruise is a function of:

horizontal-rib-deformations-cruise

horlzontal-rlb-elastlc-propertles

242
Table 209. Subproblem 7-14 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

horlzontal-rlb-deformations-crulse

horlzontal-rib-elastic-properties

i

Table 210. Design Relationships in Subproblem 7-15

horizontal-stiffener-stresses-cruise is _ function of:

horlzontal-stlffener-deformations-cruise

horlzontal-stiffener-elastic-properties

Table 211. Subproblem 7-15

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horlzontal-stlffener-deformations-cruise

horlzontal-stiffener-elastic-properties

Table 212. Design Relationships in Subproblem 7-16

horizontal-spar-stresses-cruise is m function

horizontal-spar-deformations-cruise

horlzontal-spar-elastic-properties

of:

243
Table 213. Subproblem 7-16 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

borlzontal-spar-deformations-cruise

horizontal-spar-elastlc-properties

Table 214. Design Relationships in Subproblem 7-17

horizontal-skin-stresses-cruise is a function

horlzontal-skln-deformatlons-cruise

horizontal-skin-elastlc-properties

of:

Table 215. Subproblem 7-17

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horlzontal-skin-deformations-cruise

horlzontal-skln-elastlc-properties

Table 216. Design Relationships in Subprob!em 7-18

horizontal-rib-stresses-pull-up is a function

horizontal-rib-deformations-pullAup

horlzontal-rib-elastic-properties

of:

244
Table 217. Subproblem 7-18 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

horizontal-rib-deformations-pull-up

horizontal-rib-elastic-properties

Table 218. Design Relationships in Subproblem 7-19

horizontal-stiffener-stresses-pull-up is a function

horizontal-stiffener-deformations-pull-up

horizontal-stiffener-elastic-properties

of:

Table 219. Subproblem 7-19

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horizontal-stiffener-deformations-pull-up

horizontal-stiffener-elastic-properties

Table 220. Design Relationships in Subproblem 7-20

horizontal-spar-stresses-pull-up is a function

horizontal-spar-deformations-pull-up

horizontal-spar-elastic-properties

of:

245
Table 221. Subproblem 7-20 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

horizontal-spar-deformatlons-pull-up

horizontal-spar-elastic-properties

Table 222. Design Relationships in Subproblem 7-21

horizontal-skln-stresses-pull-up is a function

horizontal-skin-deformatlons-pull-up

horizontal-skin-elastic-propertles

of:

Table 223. Subproblem 7-21

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horizontal-skln-deformations-pull-up

horlzontal-skln-elastlc-properties

Table 224. Design Relationships in Subprobiem 7-22

horlzontal-rlb-stresses-turn is a function of:

horizontal-rib-deformatlons-turn

horizontal-rib-elastic-properties

246
Table 225. Subproblem 7-22 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

horizontal-rib-deformatlons-turn

horizontal-rib-elastic-properties

Table 226. Design Relationships in Subproblem 7-23

horizontal-stiffener-stresses-turn is a function

horizontal-stiffener-deformations-turn

horizontal-stiffener-elastic-properties

of:

Table 227. Subproblem 7-23

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horizontal-stiffener-deformations-turn

horizontal-stiffener-elastic-properties

Table 228. Design Relationships in Subproblem 7-24

horizontal-spar-stresses-turn is a function of:

horizontal-spar-deformations-turn

horizontal-spar-elastic-properties

247
Table 229. Subproblem 7-24 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

horizontal-spar-deformations_turn

horlzontal-spar-elastic-propertles

Table 230. Design Relationships in Subproblem 7-25

horizontal-skin-stresses-turn is a function of:

horizontal-skin-deformatlons-turn

horlzontal-skln-elastic-propertles

Table 231. Subproblem 7-25

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horizontal-skin-deformations-turn

horizontal-skin-elastic-properties

Table 232. Design Relationships in Subprob!em 7-26

vertical-rib-stresses-cruise is a function of:

vertical-rib-deformations-cruise

vertical-rlb-elastic-properties

248
Table 233- Subproblem 7-26 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-rib-deformatlons-cruise

vertical-rib-elastic-properties

Table 234. Design Relationships in Subproblem 7-27

vertical-stiffener-stresses-cruise is a function

vertical-stiffener-deformatlons-cruise

vertical-stiffener-elastic-properties

of:

Table 235. Subproblem 7-27

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

vertical-stlffener-deformatlons-cruise

vertlcal-stiffener-elastic-properties

Table 236. Design Relationships in Subproblem 7-28

vertical-spar-stresses-cruise is a function of:

vertical-spar-deformations-cruise

vertical-spar-elastic-properties

249
Table 237. Subproblem 7-28 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-spar-deformatlons-crulse

vertical-spar-elastic-properties

Table 238. Design Relationships in Subproblem 7-29

vertical-skin-stresses-cruise is a function of:

vertical-skin-deformations-cruise

vertical-skln-elastlc-properties

Table 239. Subproblem 7-29

PREDECESSORS

Interfaces

Outpu% Parameters To $ubproblem 6-06

vertlcal-skln-deformatlons-cruise

vertical-skin-elastic-properties

Table 240. Design Relationships in Subproblem 7-30

vertical-rib-stresses-pull-up is a function of:

vertical-rib-deformations-pull-up

vertical-rib-elastic-properties

250
Table 241. Subproblem 7-30 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-rib-deformations-pull-uP

vertical-rib-elastic-properties

Table 242. Design Relationships in Subproblem 7-31

vertical-stiffener-stresses-pull-up is a function

vertical-stiffener-deformations-pull-up

.vertical-stiffener-elastic-properties

of:

Table 243. Subproblem 7-31

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

vertical-stiffener-deformations-pull-up

vertical-stlffener-elastic-properties

Table 244. Design Relationships in Subproblem 7-32

vertical-spar-stresses-pull-up is a function of:

vertical-spar-deformations-pull-up

vertical-spar-elastic-properties

251
Table 245. Subproblem T-32 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-spar-deformatlons-pull-up

vertical-spar-elastlc-properties

Table 246. Design Relationships in Subproblem T-33

vertical-skln-stresses-pull-up is a function of:

vertical-skln-deformations-pull-up

vertical-skin-elastlc-properties

Table 247. Subproblem 7-33

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

vertical-skln-deformatlons-pull_up

vertical-skin-elastic-properties

Table 248. Design Relationships in Subproblem

vertical-rib-stresses-turn is a function

vertical-rib-deformations-turn

vertlcal-rib-elastlc-propertles

7 -34

of:

252
Table 249. Subproblem 7-34 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-rib-deformations-turn

vertical-rib-elastic-properties

Table 250. Design Relationships in Subproblem 7-35

vertical-stiffener-stresses-turn is a function

vertical-stiffener-deformations-turn

vertical-stiffener-elastlc-properties

of:

Table 251. Subproblem 7-35

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

vertical-stlffener-deformations-turn

vertical-stiffener-elastic-properties

Table 252. Design Relationships in Subproblem 7-36

Certical-spar-stresses-turn is a function of:

vertical-spar-deformations-turn

vertlcal-spar-elastic-properties

253
Table 253. Subproblem 7-36 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

vertical-spar-deformations-turn

vertical-spar-elastic-properties

Table 254. Design Relationships in Subproblem 7-37

vertical-skin-stresses-turn is.a function of:

vertical-skin-deformations-turn

vertical-skln-elastic-propertles

Table 255. Subproblem 7-37

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

vertical-skin-deformatlons-turn

vertical-skin-elastic-properties

Table 256. Design Relationships in Subproblem

win_-skin-stresses-gust is a function of:

wing-skin-deformations-gust

wing-skin-elastic-propertles

7-38

254
Table 257. Subproblem 7-38 Interfaces

PREDECESSORS

Input Parameters To Subproblem 6-09

wing-skin-deformations-gust

Output Parameters To Subproblem 6-09

wing-skin-deformations-gust

Input Parameters To Subproblem 6-11

wlng-skin-elastic-properties

Output Parameters To Subproblem 6-11

winK-skin-elastic-properties

Table 258. Design Relationships in Subproblem

wing-spar-stresses-gust is a function of:

wing-spar-deformatlons-gust

wing-spar-elastic-properties

7-39

Table 259. Subproblem 7-39

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-09

wing-spar-deformatlons-gust

Output Parameters To Subproblem 6-09

wing-spar-deformations-gust

255
Table 259. Subproblem 7-39 Interfaces, cont.

Input Parameters To Subproblem 6-11

wlng-spar-elastlc-propertles

Output Parameters To Subproblem 6-11

wing-spar-elastic-properties

Table 260. Design Relationships in Subproblem

wing-rib-stresses-gust is a function of:

wing-rib-deformations-gust

wing-rib-elastic-propertles

7 -40

Table 261. Subproblem 7-40

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-09

wlng-rib-deformations-gust

Output Parameters To Subproblem 6-09

wing-rib-deformations-gust

Input Parameters To Subprobiem 6-11

wing-rib-elastlc-propertles

Output Parameters To Subproblem 6-11

wlng-rib-elastic-properties

256
Table 262. Design Relationshlps in Subproblem 7-_1

wlng-stlffener-stresses-gust is a function

wlng-stiffener-deformatlons-gust

wing-stlffener-elastlc-propertles

of:

Table 263. Subproblem 7-41

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-09

wing-stiffener-deformations-gust

Output Parameters To Subproblem 6-09

wing-stiffener-deformations-gust

Input Parameters To Subproblem 6-11

wing-stiffener-elastic-properties

Output Parameters To Subproblem 6-11

wing-stiffener-elastic-properties

Table 264. Design Relationships in Subproblem

fuselage-skin-stresses-gust is a function

fuselage-skin-deformatlons-gust

fuselage-skin-elastlc-properties

7-42

of:

257
Table 265. Subproblem 7-42 Interfaces

PREDECESSORS

Input Parameters To Subproblem 6-09

fuselage-skin-deformatlons-gust

Output Parameters To Subproblem 6-09

fuselage-skin-deformations-gust

Input Parameters To Subproblem 6-06

fuselage-skln-elastic-properties

Output Parameters To Subpr_blem 6-06

fuselage-skin-elastic-properties

Table 266. Design Relationships in Subproblem 7-43

fuselage-frame-stresses-gust is a function of:

fuselage-frame-deformatlons-gust

fuselage-frame-elastic-propertles

Table 267. Subproblem 7-43 Interfaces

PREDECESSORS

Input Parameters To Subproblem 6-09

fuselage-frame-deformatlons-gust

Output Parameters To Subproblem 6-09

fuselage-frame-deformations-gust

258
Table 267. Subproblem 7-43 Interfaces, cont.

Input Parameters To Subproblem 6-06

fuselage-frame-elastic-propertles

Output Parameters To Subproblem 6-06

fuselage-frame-elastic-prgpertles

Table 268. Design Relationships in Subproblem 7-44

fuselage-stiffener-stresses-gust is a function

fuselage-stiffener-deformations-gust

fuselage-stiffener-elastic-properties

of:

Table 269. Subproblem 7-44

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-09

fuselage-stiffener-deformations-gust

Output Parameters To Subproblem 6-09

fuselage-stiffener-deformations-gust

Input Parameters To Subproblem 6-06

fuselage-stiffener-elastic-properties

Output Parameters To Subproblem 6-06

fuselage-stiffener-elastic-properties

259
Table 270. Design Relationships in Subproblem 7-45

horizontal-skin-stresses-gust is a function

horizontal-skin-deformations-gust

horizontal-skin-elastic-properties

of:

Table 271. Subproblem 7-45 Interfaces

PREDECESSORS

Input Parameters To Subproblem 6-09

horizontal-skin-deformations-gust

Output Parameters To Subproblem 6-09

horizontal-skin-deformatlons-gust

Input Parameters To Subproblem 6-06

horizontal-skln-elastlc-properties

Output Parameters To Subproblem 6-06

horizontal-skln-elastic-properties

Table 272. Design Relationships in Subproblem 7-28

horizontal-spar-stresses-gust is a function of:

horizontal-spar-deformations-gust

horizontal-spar-elastic-propertles

a6o
Table 273. Subproblem 7-46 Interfaces

PREDECESSORS

Input Parameters To Subproblem 6-09

horizontal-spar-deformatlons-gust

Output Parameters To Subproblem 6-09

horizontal-spar-deformations-gust

Input Parameters To Subproblem 6-06

horizontal-spar-elastic-properties

Output Parameters To Subproblem 6-06

horizontal-spar-elastic-properties

Table 274. Design Relationships in Subproblem 7-47

horizontal-rlb-stresses-gust is a function of:

horizontal-rib-deformations-gust

horizontal-rib-elastic-properties

Table 275. Subproblem 7-47

PREDECESSORS

Interfaces

lnput Parameters To Subproblem 6-09

horizontal-rib-deformations-gust

Output Parameters To Subproblem 6-09

horizontal-rib-deformations-gust

261
Table 275. Subproblem 7-47 Interfaces, cont.

Input Parameters To Subproblem 6-06

horizontal-rib-elastic-properties

Output Parameters To Subproblem 6-06

horizontal-rib-elastic-properties

Table 276. Design Relationships in Subproblem 7-48

horizontal-stiffener-stresses-gust is a function

horizontal-stiffener-deformations-gust

horizontal-stiffener-elastic-properties

of:

Table 277. Subproblem 7-48

PREDECESSORS

Interfaces

input Parameters To Subproblem 6-09

horizontal-stiffener-deformations-gust

Output Parameters To Subproblem 6-09

horizontal-stiffener-deformations-gust

Input Parameters To Subproblem 6-06

horizontal-stiffener-elastlc-properties

Output Parameters To Subproblem 6-06

horizontal-stiffener-elastic-properties

262
Table 278. Design Relationships in Subproblem 7-49

vertlcal-skin-stresses-gust is a function

vertlcal-skln-deformatlons-gust

vertical-skln-elastic-propertles

of:

Table 279. Subproblem 7-49

PREDECESSORS

Interfaces

input Parameters To Subproblem 6-09

vertical-skln-deformations-gust

Output Parameters To Subproblem 6-09

vertical-skin-deformations-gust

Input Parameters To Subproblem 6-06

vertical-skln-elastic-propertles

Output Parameters To Subproblem 6-06

vertical-skln-elastic-properties

Table 280. Design Relationships in Subproblem 7-50

vertical-spar-stresses-gust is a function of:

vertical-spar-deformations-gust

vertical-spar-elastic-properties

263
Table 281. Subproblem 7-50 Interfaces

PREDECESSORS

Input Parameters To Subproblem 6-09

vertical-spar-deformations-gust

Output Parameters To Subproblem 6-09

vertical-spar-deformations-gust

Input Parameters To Subproblem 6-06

vertical-spar-elastlc-properties

Output Parameters To Subproblem 6-06

vertical-spar-elastlc-properties

Table 282. D_si&n Relationships in Subproblem

vertical-rib-stresses-gust is a function

vertical-rlb-deformatlons-gust

vertical-rib-elastlc-properties

7-51

of:

Table 283. Subproblem 7-51

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-09

vertical-rlb-deformatlons-gust

Output Parameters To Subproblem 6-09

vertlcal-rib-deformations-gust

264
Table 283. Subproblem 7-51 Interfaces, cont.

Input Parameters To Subproblem 6-06

vertlcal-rib-elastlc-propertles

Output Parameters To Subproblem 6-06

vertical-rib-elastic-properties

Tabl_ 284. Design Relationships in Subproblem 7-52

vertical-stiffener-stresses-gust is a function

vertical-stiffener-deformations-gust

vertical-stiffener-elastic-properties

of:

Table 285. Subproblem 7-52

PREDECESSORS

Interfaces

Input Parameters To Subproblem 6-09

vertlcal-stiffener-deformations-gust

Output Param@ters To Subproblem 6-09

vertical-stiffener-deformations-gust

Input Parameters To Subproblem 6-06

vertlcal-stiffener-elastic-properties

Output Parameters To Subproblem 6-06

vertical-stlffener-elastic-properties

265
Table 286. Design Relationships in Subproblem 7-53

fuselage-aerodynamic-loads-turn

maneuvering-3d-shape-turn

is a function of:

Table 287. Subproblem 7-53 Interfaces

PREDECESSORS

Output Parameters To Subproblem 6-06

fuselage-aerodynamic-loads-turn

maneuvering-3d-shape-turn

Table 288. Design Relationships in Subproblem 7-54

horizontal-aerodynamlc-loads-turn is a function

maneuvering-3d-shape-turn

Table 289. Subproblem 7-54

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

horizontal-aerodynamic-loads-turn

maneuvering-3d-shape-turn

of:

266
Table 290. Design Relationshlps in Subproblem 7-55.

vertical-aerodynamic-loads-turn is a function

maneuvering-3d-shape-turn

of:

Table 291. Subproblem 7-55

PREDECESSORS

Interfaces

Output Parameters To Subproblem 6-06

vertical-aerodynamlc-loads-turn

maneuvering-3d-shape-turn

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$_ada_ Bibliographic Pap

" IL _._ t2- _tA_No.

;

NASA CR-178239 I

:,¢ T_tte _ Sub,ire

APPLICATION OF DECOMPOSITION TECHNIQUES TO THE

PRELIMINARY DESIGN OF A TRANSPORT AIRCRAFT

9.

i

iP

15.

7. AuU_,) ,

J. E. Rogan and M. A. Kolb

Pe_omu.¢ Orsxms_a N_m_ usdActctrme

Lockheed-Georgia Company

86 S. Cobb Dr.

Marietta, GA 30063

, i

SW,u_on.¢ Agorot7 ,N_ md A_

National Aeronautics and Space Administration

Washington, DC 20546

_pptement_,y .Now

Langley Technical Monitor: Dr. J. Sobieski

Final Report

s. lt,m,_ February D,_ 1987

i e. P,,.fomm¢ Om,m.mmm Co+,

I

I °

; 8. Pidornm¢ Or_ _ No,

LG86ER0092

tO. Work Umt N_

11. Cooua_ m, Gtw¢ No.

NAS1-18068

, t:L T,n_ oL RaNR aM P,mod _

+AI ___ __ -- TI ii ----_

505-63-11-01

16. A_mm-a_

A nonlinear constrained optimization problem describing _he preliminary

desiEn process for a _ransport aircraft has been formulated. A mul_ifaceted

decomposition of the optimization problem has been made. Flight dynamics,

flexible aircraft loads and deformations, and preliminary structural design

subproblems appear prominently in the decomposition. The use of design

process decomposition for scheduling design projects, a new system integration

approach to configuration control, and _he application of object-centered programming to a new generation of design tools are discussed."

:_'. K,7 Wo_lJ (SmcK,.mmk IW A,um,_.)_

Preliminary design, optimization,

linear decomposition, object-centered

progr-mming, transport aircraft

18. Dim-ib_uem Statism

Unclassified - Unlimited

Subject Category 05

;g. $gcuri;7 C_iL(oL _m _par_)

Unclassified

2. 5_,,rr CnamU.(o_mm ;-4,,) 12x. No. o_Pa4r,-i "

',Unclassified 299

I

F_ -_- by _ Na_om-a T_ _om _ Sm'im_,dd, Vh.tm_ _101

NASA _.,6mlJey F_ 4J_J (Jume Lit&l)