..

2

2( ) (2 1) ( ) 2 ( )

1u t U t U tol

w x xwx

= - --

0 0.4 0.8 1.2 1.6 2T (sec)

0

500

1000

1500

2000

2500

3000

cm/s

ec2

. , MSc, . ., PhD

2002

Copyright 2002 .. , , . No part of this book may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photo-copying, recording or otherwise, without prior written permission of the author, who reserves all the rights.

ISBN: 960-266-107-0

SET: 960-266-106-2

316 . () () (. ). . . , , . , , . , , , , , , . , , , , . . , . , , , , , .. . ,

X

- , , . . , . . , . . . 22 , , . - . , , FORTRAN. . . . . . . , . ., MSc, , o . . -. , . . . , -. , 2002

..

.................................................................................................................................... IX 1............................................................................................................................... 1 ................................................... 1 1.1 .................... 1 1.2 .................. 4 1.3 ..................... 7 1.4

................. 11 1.5 I H H D ALEMBERT.. 16 1.6 ... 43 1.7 HAMILTON.... 46 1.8 LAGRANGE... 58

1.8.1 .... 67 1.9 .... 75 1.10 ..... 77

2............................................................................................................................. 87 .......................................... 87 2.1 ..... 87 2.2 ..... 87 2.3 .... 92

2.3.1 92 2.3.2 ..... 94 2.3.3 ... 96

2.4 ...... 98 2.5 ........ 100

3............................................................................................................................ 105 ...... 105 3.1 ............................................................................................ 105

3.1.1 ............................................................ 105

VI

3.1.2 .............................................................. 108 3.2 DUHAMEL................................................... 112

3.2.1 ........................................................... 112 3.2.2 ................................................................. 114

3.3 DUHAMEL ........................................................................................................... 117 3.3.1 .......................................................................................... 117 3.3.2 ................................................................... 118 3.3.3 .............................................................................. 121 3.3.4 ................................................................................................... 123 3.3.5 ........................................... 124 3.3.6 ...................................................... 126

3.4 DUHAMEL................. 135 3.5 . ................................................................................... 145

3.5.1 Dirac................................................................................... 145 3.5.2 .......................................................... 149 3.5.3 ............................................................................. 152 3.5.4 ............................................................... 152

3.6 ........................................................................................................................... 154

4............................................................................................................................ 159 ........................................ 159 4.1 ............................................................................................................................ 159 4.2 (M) ................................................... 160 4.3 () ................................................... 166 4.4 () ................................................ 174 4.5 .................................................. 184

4.5.1 ........................................................... 184 4.5.2 ............................................................................................... 184 4.5.3 ................................................................. 188 4.5.4 ........................................... 191 4.5.5 ............................................. 192

4.6 ................................................... 200 4.7 ........................................................................................................................... 206

5............................................................................................................................. 209 .......................... 209 5.1 ............................................................................................................................ 209 5.2 .............. 210 5.3

........................................................................................................................... 222 5.4 ........................................................................................................................... 237

6............................................................................................................................ 243 ............................................................................................................. 243 6.1 ........................................................................................................................... 243

VII

6.2 . .......................................................... 243 6.3 . ............................................................... 262 6.4 .............................................................................................. 269

6.4.1 ..................................................................................... 269 6.4.2 ..................................................................................... 270

6.5 ........................................................................................................................... 274

7............................................................................................................................. 279 .................................................................................................................................... 279 7.1 ........................................................................................................................... 279 7.2 .............................................................. 280 7.3 ................................................................................ 283 7.4 ................................................................................................ 283 7.5 COULOMB.................................................................................................... 286

7.5.1 Coulomb................................................ 286 7.5.2 Coulomb..................................... 290

7.6 ........................................................................................ 292 7.6.1 ........................................................... 292 7.6.2 .......................................................................................... 293 7.6.3 ......................................................................... 295

7.7 ........................................................................................................................... 297

8............................................................................................................................ 299 ........................................................................ 299 8.1 ........................................................................................................................... 299 8.2 E ........................................................... 304 8.3 ........................................................................................................................... 315

9............................................................................................................................ 317 .................................................................................. 317 9.1 ............................................................................................................................ 317 9.2 FOURIER................................................................................................................ 319 9.3. ............................................................................ 326 9.4 FOURIER.................................................................. 330 9.5 TIKH .

....................................... 332 9.6 FOURIER............ 333 9.7 ........................................................................ 337 9.8 FOURIER.............................................................. 340 9.9 FOURIER

.................................................................................................... 344 9.10 FOURIER..................................................................... 344

9.10.1 Sande-Tukey................................................................................ 346 9.11 ........................................................................................................................... 349

..................................................................................................................... 353

VIII

.................................................................... 353 A.1 DALEMBERT ........................................................... 353 .2 ......................................... 355 .3 ..................... 364 .4 ............................................... 366 .5 ...................................................................................................... 368

.5.1 ..................................................................... 368 .5.2 P.......................................................................... 370

...................................................................................................................... 373 ......................................................................... 373 .1 ....................................... 373

....................................................................................................................... 377 ............................................................................................................................... 379

A ()

, 359 , 359 , 360

, 12 , 27 , 214 , 169 , 15

, 229 , 230

() , 202 , 203

Cooley-Tukey, 346 Sande-Tukey, 346

(. )

, 175, 222

, 317, 344 , 317

, 46

, 105

, 108 , 105

, 337 , 37, 149

, 109 , 109, 326 , 326 , 117 , 121 , 112 , 145

, 279 , 27 Coulomb, 286, 290 , 12, 280

, 283 , 92 , 96 , 94

, 283 ( ),

292 , 293 , 295

380

, 292

, 280 (),

159 , 174 , 159, 160 , 166 Houbold 159 Newmark, 159, 166, 179

, 200 , 184

( -), 210 ,

222, 223 , 213,

215 , 105

, 108 , 105

, 16 D Alembert, 16, 353, 355 Hamilton, 16, 46, 301

, 89

, 7 ()

, 282 , 286 Coulomb, 291

, 60 , 59

, 299, 304

, 305 , 59

, 46 , 14 , 90 , 105

, 12, 16 , 12, 280 , 11 , 11 , 48 , 12, 48

, 107

, 59 (), 59

, 40 , 234 ()

, 280 , 98 , 98, 306 , 19, 98, 306, 368 , 251

, 175 , 184, 185 , 3 , 3

, 353

, 88, 92 , 185

Lagrange, 16, 58 , 244

, 246

, 281 , 281

, 90 , 201

() , 196, 200

381

, 192, 200 , 191 , 192 Houbolt, 204

()

, 153 , 153

Knig, 371

I, 91 , 96 , 91

I, 90 , 94 , 90

K , 243, 244 Leibnitz, 137, 247 , 190, 201 , 243 , 309

, 49 , 107 , 94

, 283 Coulomb, 291

, 270

, 27

, 201

Fourier, 317, 336 , 336 , 318, 340 , 318, 344

Laplace, 114, 151, 317 , 114, 152

, 269 , 270

, 210 , 210, 234

, 70 , 71 , 194 , 37

, 333

(), 67, 366

, 149 , 11 , 269

, 354

O Duhamel, 112, 114

, 117 , 135 , 112

O Fourier, 336

, 262 , 243

, 317 , 317

, 201, 203 (. )

Lagrange, 65 , 6

, 118

382

, 123 , 124

, 374 FORTRAN, (.

FORTRAN)

Fourier, 319 , 330, 331 , 321

Taylor, 68, 160

, 353 , 19 , 17, 19

, 17, 356

, 145 , 67 , 320 , 319 , 300 Heaviside, 5

, 116 , 152, 337

Dirichlet, 321, 334

, 70 , 12

, 283, 291 , 286

, 289 , 289

, 112 , 108

, 9 , 9 , 210 , 9 , 9

, 105 Hertz, 91

, 87 , 92 Coulomb, 286, 289 , 87 Coulomb, 286, 289

, 105 , 114 Coulomb, 290 , 112

T Euler, 88, 336 T , 70 ()

, 286 , 286 Coulomb, 286

Gibbs, 321

, 252 , 252 , 252

, 248

(), 246, 247 , 258

, 194 , 250 , 250

, 175, 222 , 169, 244 , 58, 308

, 6 , 75 , 4

383

, 4 , 6 , 4

, 105

, 108 , 105

, 117 , 121 , 126

, 88, 92 , 194

, 250 , 250

, 149

A (Analog Equation Method), 174

B Betti-Maxwell, (. )

Betti-Rayleigh (. )

Biot, 246

C Coulomb (. ) Cooley J.W. (. )

D Dirac (. ) DAlembert (. )

E Euler

, 363

, 88, 336 F

FORTRAN AEMLIN1, 179 CENTRDIFF, 163 DUHAMEL, 139 MACCEL, 171 MACCELNL_NR, 219 AEMLIN1, 224 RESPONSE_SPECTRUM_AEM,

253 RESPONSE_SPECTRUM_EXACT,

256 Fourier, (. , )

G Gauss, 346 Gibbs (. )

H Haley, 373 Hooke, 373 Hamilton, 46, (. ) Heaviside (. ) Hertz (. Hertz) Houbolt, (. )

K Katsikadelis J.T., 174 Knig, (. )

L Lagrange, 46

, 16, 58 , 65

Leibnitz (. Leibnitz) Laplace (. )

N Newmark, (. -)

384

Newton-Raphson, , 218

Newton, (. ) P

Principia Mathematica, 373

R Rayleigh (), 100 RungeKutta, 210

T Taylor, (. Taylor) Tukey J.W, (. )

W Wilson, 159 Winkler, 305 Wren, 373

Dynamics-Cover-blue.pdfStatIV-Title pagesStatIV-Preface-finalTable of Contents finalSubject-Index-StatIV-final