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Nayfeh A.H., Pai P.F. — Linear and Nonlinear Structural Mechanics
Nayfeh A.H., Pai P.F. — Linear and Nonlinear Structural Mechanics



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Название: Linear and Nonlinear Structural Mechanics

Авторы: Nayfeh A.H., Pai P.F.

Аннотация:

Bridging the gap between the practicing engineer and the applied mathematician, Nayfeh (engineering, Virginia Tech) and Pai (mechanical and aerospace engineering, University of Missouri-Columbia) present mathematically consistent derivations of structural theories, detail basic principles of linear and nonlinear structural mechanics, and show how to perform nonlinear structural analysis. The book is designed to be used as a reference for structural engineers as well as a graduate-level text.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 2004

Количество страниц: 746

Добавлена в каталог: 17.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Ring, circular      181 265 513 565 637
Ring, rotating      513 565 637
Ritz method      27 35 36 38—42 45 47 61
Rocking      315
Rope, jump      112
Rotary inertia      14 15 28 31 67 98 179 181 184 189 217 221 223 224 229 236 241 243 270 372 373 377 380 407 400 432 438 465 561 588 598 603 626 633 644
rotating      177 179 376
Rotating, beam      178 246 278
Rotating, disk      23 513 516 517
Rotating, finite      177 237
Rotating, ring      513 565 637
Rotating, virtual      177 207 210 226 355 362 376 563 596
Rotor      6 171 176 178 180 240 245 246 263 264
Saint Venant’s plate theory      544
Saint Venant’s principle      175
Saint Venant’s semi-inverse method      172
Saint Venant’s solution      175
Saint Venant’s warping solution      174—170
Sandwich      192 194 373 402
Saturation phenomenon      74 25 138
SAW      513
Secondary resonances      25 181
Self-equilibrating      6 7 175
Self-excited oscillations      6 23 513
Semiconductor industry      341
Shaker      130 132 267 294 312 313 334
Shear      2 4 8 94 95 174 179 181 186 191 252 270 375 382 485 559 578 590 604 615 616 632
Shear, center      246
Shear, correction factor      173 174 373 374 402 446 561 608
Shear, coupling      269 377 403 456 463 581 628
Shear, deformable beam theory      172 186 187 189
Shear, effects      4 173 174 376 381 456 561 581
Shear, energy average      191 400
Shear, first-order      395 576 579 584 585 588 599—601 626 627
Shear, gcomctric average      191 400
Shear, intensity      384 386 387 390 394 398 400 429 442 574 575
Shear, interlaminar      4 374—376 448 440 561 615 617
Shear, load      190 193 249 251 449 617
Shear, modulus      95 249 376
Shear, mpiane      2 174 358 360 362 363 366 367 417—420 429 440 442 451 452 560 584 588 589 591 600 614 641
Shear, out-of-plane      174 562
Shear, resultant      220 249
Shear, rigidity      98 111
Shear, strength      372
Shear, stress      100 172—174
Shear, third-order      436 594 028
Shear, transverse      2 4 6 173 174 179 184 263 372 373 375—377 380 430 437 436 440 442 444 448 452 454 560—562 573—576 585 588 594 599 601 615 617 620 627 628
Shear, warping      173 175
Shear-deformation theories      4 173 186 372 373 376 378 379 381 383 387 396 417 435 440 560 577 588 593 601
Shear-deformation theories, first-order      173 174 191 372 375 378 400 402 446 501 608
Shear-deformation theories, higher-order      4 172 174 373 377 379 561 615
Shear-deformation theories, layerwise      192 446 562 615
Shear-deformation theories, plates      396 435 442
Shear-deformation theories, refined      378 380 561
Shear-deformation theories, shells      577 588 593 601 608
Shear-deformation theories, third order      172 189 90 374 376 379 402 435 454 456 501 615
Shell      1 2 24 171 355—357 307 371 372 378 380 559—649
Shell of revolution      569
Shell, axisymmeinc      565 641
Shell, circularcylindrical      564 566 576 588 611
Shell, classical, theories      560 566
Shell, comcal      568
Shell, composite      561 615
Shell, cylindrical      24 566
Shell, doubly-curved      571 582
Shell, equations of morion lor cylindrical shells      581 589 631
Shell, equations of motion. Donnell's      014
Shell, laminaicd. panels      501 615
Shell, layerwise shear-deformable      615
Shell, linear shear-deformable      561 577
Shell, nonlinear classical theory of      582
Shell, simplified, theories      603
Shell, spherical      570
Shell, theories      560 605 611 613 614
Shell, twisted circular cylindrical      508 629
Sidebands      270 319 335 336 340
Sidebands, unexplained      319 336
Sine-dwell sweep      13
Singular perturbation      579
Skew plate      379
Slenderness ratio      174 224
Slipping      335
Slow dynamics      270 529
Snapping through      278 318 319 338 339
Softening nonlinearity      163 165 167 178 223 275 277 282 289 296 303 310 330—332 350 381
Softening response, behavior      137 161 282 330—332 350
Solvability condition      58 59 158 160 272—274 279 293 320 348
Spherical shells      564 570 571 629 630 641—053
Spinning, disk      513 517
Spinning, membrane      513
Spring, helical      53—55 121 264
State-space      23 48 377—379 744
State-space, conjugate      600
State-space, engineering      110 248 376 573 578
State-space, Green — Lagrange      177
State-space, inplanc      363 417—419 591
State-space, Jaumann      369 631 632
State-space, local, measures      177 194 213 220 229 251 377 563
State-space, nonlinear      239
Strain — displacement      4 65 75 76 107 185 186 192 214 215 218 377 383 562 563 582 593 608 612 614 622
Strain — displacement, Cartesian coordinates      76
Strain — displacement, curvilinear coordinates      80
Strain — displacement, cylindrical coordinates      77
Strain — displacement, spherical coordinates      78
Stress      3 4 6 7 28 76 94 110 114 172—175 191 193 218 230 233 235 242 247 249 254 262 371 372 374 376 407 411 416 514 532 533 536 560—562 579 584 599 600 609 612—614 616 617
Stress resultants for beated plates      467 4 8
Stress resultants for circular plates      390
Stress resultants for laminated plates      429 439 441 445
Stress resultants for rectangular plates      384
Stress, engineering      248 376
Stress, Jaumann      46 633
Stress, local measures      7 177 184 220 229 377 563
Stress, residual      532 538 542
Stress-strain relations      65 75 85 96 97 107 168 189 384 390 394 398 429 449 451 467 574 617
Stress-strain relations, anisotropic      86
Stress-strain relations, orthotropic      87
Stress-strain relations, tbermoelastic      412
Stretching      (see Midplanc stretching)
String      2 111 112 134
String, approximate equations      114 117
String, attacking tbrce equations      121
String, discretization model      126
String, evaluation of two-equation model      124
String, exact equations      113
String, experiments      132
String, mode shapes      118 19 126
String, modeling of      113
String, modulation equations for      113
String, multiple resonances      138
String, natural frequencies, I      3
String, nonlinear response      112 113 119 125 128
String, Poisson's effect      114—117
String, response to combined parametric and external resonances      137
String, response to primary resonance      121 124—127 129
String, two-equation model      118—121 124 125
String, whirl      112 125 130 132—134
Subcombination resonance      278 291 298 302 304 544
Subdomain method      27 48
Supports      7
Supports, horizontal      148
Supports, moving      137
Surface analysis      355 377 419 420 425
Switch, micro      342
Temperature      8 88 98 412 414 468 544 545 547 550 555
Thcrmopncuniatic      531
Themioelastic      7 96 414
Themioelastic, constitutive relations      88 89 91 96
Themioelastic, coupling      544 547
Themioelastic, damper      544
Themioelastic, equations      412 415
Thermal      88 94 8 412 468 544 545 547
Thermal, effect      98 414 467 468 545
Thermal, load      543 544 549 551
Thin walled structure      4 75 362
Time-averaged Lagrangian      63 64 286 306 651
Timoshenko beam      173 374 179
Torsional      2 6 8 23 180 182 202 226 244 264 278 285 315 379
Torsional, rigidity      168 174 234 235 244
Torsional, variable      240 244
Torsional, warping      174 176 234 235 246 251 253
Transfer, energy      5 3 181 270 319 637
Transformation of cooidinates      17 21 83 102 195 202 360 376 37 417
Transformation of matrix      83 101 103 105 177 198 201 202 203 208 209 217 237 240 256 263 355 357 417 435 466 566 599 605 606 612 622
Transformation of stresses and wains      82
Transverse shear      2 4 6 172—174 179 184 249 371—377 380 386 387 390 394—396 398 400 402 430 432 436 442 444 448 452 454 559 560—562 573—576 579 585 588 594 599 601 617 620 627 628
Trapezoidal-edge effect      560 573
Twist      6 7 180 237 240 245
Twisted      278 568 629 630
Twisted, beam      172 180 200 209 211 212 264
Twisted, blade      176 178
Valve      53 55 57 531
Variation of curvatures      210 365
Variational      41 66 71 218 375
Variational, methods      27 28 42 53 186
Variational, principle      28 374 375 380
Virtual, displacement      55 69 70 109 596
Virtual, principle of      69 110
Virtual, rotations      177 207 208 210 226 355 362 376 563 596
Virtual, work      55 69 70 109 110 140 284—286 298 300 304 306
Viscoelastic      381 544
Viscoelastic von Karman      531 605
Viscoelastic, equations      375 379 380 381 433 434
Viscoelastic, noiilincarity      37 373 379 380 403 425 433 446 563 605—607
Viscoelastic, strains      136 176 177 375 377 404 408 425 446 563 605
Warping      1 6 172—176 194 200 211 213 215 220 233 245 247 248 253 256 261 262 369 377 417 426 435 447 448 452 454—456 560 566
Warping, bending-induced      173
Warping, cxicnsion-reduced      173
Warping, displacement      174 176 194 215 369
Warping, function      175 176 186 192—194 247—251 396 402 436 447 452 454 456 457 562 577 581 615 627-630
Wave propagation      373 374 381
Waves      6 513 505 537
Waves, surface      24 26 637
Weighted residuals, method of      27 35 46 47 53 61 342
Whipping      278
Whirling motion      112 121 125 130 132 134 177
Winkler — Pastcmak foundation      380
1 2 3
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