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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
Hopf bifurcation, normal form of      289 290
Hopf bifurcation, secondary      23 319 336
Hygro-thermal effect      98
Hygro-thermal effect, expansion coefficient      98 468
Identification      377
Imperfect      7 381 499
Imperfection      312 381 499
Incommensurate      302 319 336 340
Inconsistency      186 220
Inextensionality      222 225 240 565 638
Initial-value methods      35 48 52 142
Intcrlaminar shear stress      4 193 374 375 377 448 440 561 615 617
Integrability      107
Interaction      313
Interaction, coefheient      122 323 565 638
Interaction, modal      5 23 25 181—183 270 373 376 377 381 498 544 564 565 569 630 637 638
Interaction, nonlinear      183
Interaction, stretching-bending      137
Interaction, structure-fluid      8
Interaction, wave-mode      27
Internal resonance      58 122 152 153 158 161 180—183 272 292 298 318 323 324 331 504 508 522 550 551 639
Internal resonance, cables      137 138
Internal resonance, circular plates      504
Internal resonance, combination      183
Internal resonance, cylindrical shells      564 566 630 638 639
Internal resonance, huckled beams      316
Internal resonance, multiple      137 138
Internal resonance, near-square plates      524
Internal resonance, one-to-one      26 112 137 138 150 181—183 286 319 323 499 503 513 529 565 636 637
Internal resonance, spherical shells      5 4 641 648 649 653
Internal resonance, strings      112 122
Internal resonance, three to-onc      183 323 324 544
Internal resonance, two-to-one      25 26 137 1 38 150 163 167 183 323 564 566 630 638 641 648—650 653
Invariant      84 90 288
Invariant, manifold      524
Invariant, transformation      83 87 288
Jaumann, strains      215 251 252 366 369 376 382 428 439 458 583 593 594 590 616 631 632 643
Jaumann, stresses      254 382 429 467 596 633
Kantorovich method      378 379
Kirchhoff’s kinetic analogy      199 207
Lagrange multipliers      231
Lagrangian      4 25 54 61 63 64 71 76 136 138 139 225 226 252 284—286 298 300 304 306 554 594 634 640
Lame parameters      35 563
Laminated, beams      8 174 179 180
Laminated, plates      4 8 372—374 376—381 446—448 454 456 528 544 624
Laminated, shells      561 564 615 629
Lamination      738
Lamination, angle-ply      180 182 377 378 380 381 544
Lamination, anisotropic      172 175 183 226 235 254 372—374 380 417 447 561 015
Lamination, cross-ply      373 378—380 405 406 412 564
Lamination, layerwise      192 440 615
Laplace transform      13 374
Layerwise, shear-dcfontuble shell theory      615— 630
Layerwise, shear-deformable beam theory      172 192—194
Layerwise, shear-deforniahle plate theory      376 377 446—467 562
Levy solution      377—379 470 471
Limit cycle      5 23 25 26 112 289 290 310 319
Limit cycle, penod-thrcc      319 336 337 340
Limit cycle, period five      319 336 337 340
Limit cycle, period-one      335—337 339—341
Limit cycle, period-six      319
Limit cycle, period-two      335—337 339 340
Lindstcdt — Poincarc method      379 565 637
Linearcontirtuous systems, analysis of      27
Locking, frequency      336 340
Logarithmic decrement      133 313
Ludwicfc foundation      179
Macromechamcs      7
Magnetic      4 24 111 171
Magnetoelastic      8
Material stiffness matrices      94
Mathcmatica      290
Mathieu-type equation      24 564
Membrane      1—3 474 522 531 559 500 594
Membrane, circular      474—47 499
Membrane, elliptic      474 480 481
Membrane, equations      474
Membrane, force      562 566
Membrane, modes and frequencies of spherical shell      647 648 652 653
Membrane, natural frequencies      474—481
Membrane, neai-circular      474 477 480
Membrane, rectangular      499
Membrane, spinning      513
Membrane, square      499
Membrane, strain energy      635
Membrane, stress      2
Memory disk      513 510
Microbeam      341—353
Microbeam, applications of      342 345 346 351
Microbeam, icsonutor      342
Microbeam, microswitch      342
Microbeam, natural frequencies of      345
Microbeam, nonlinear resonance frequency      349—351
Microbeam, pull-in voltage      345 352 353 541 542
Microbeam, reduccd-order model      351
Microbeam, response to primary resonance      346
Microbeam, static deflection      342
Microcracking      8
Microelectroniechajiical      341
Microplate      469
Micropum      531—543 545
Midplane stretching      4 181
Midplane stretching in beams      181
Midplane stretching in columns      181
Midplane stretching in microbeams      342 345
modal      17 34 35 18
Modal, coordinates      17 21 34
Modal, coupling      5 26 181 182
Modal, damping      8 9 18 123 127 638
Modal, excitation      21
Modal, intensity      175 384 385 440 442 400 584 600 624
Modal, interactions      5 23 25 181—183 373 376 377 498 544 564 565 637
Modal, matrix      17
Modal, method      27 48 217 429
Modal, shaker      207
Modal, structure      180
Modal, U amplitudes      72 132
Multiple sealed, applied JO cantilever beams      271 278 284
Multiple sealed, applied lo rotating disks      524
Multiple sealed, applied to axisymmetric shells      565 637
Multiple sealed, applied to bucklcd beams      319 324 328
Multiple sealed, applied to cables      138 139 152 161
Multiple sealed, applied to circular plates      506
Multiple sealed, applied to cylindrical shells      565 638
Multiple sealed, applied to heated plates      544 550
Multiple sealed, applied to microbeams      346
Multiple sealed, applied to orthotropic plates      381
Multiple sealed, applied to rings      565 637
Multiple sealed, applied to spherical shells      564 565
Multiple sealed, applied to strings      112 113 121 127
Multiple sealed, method of      26 57 61 152
Natural frequencies for      5 9—13 15 23 30 52 58 181
Natural frequencies for annular plates      491 498
Natural frequencies for bucklcd beams      317 321—323 330 332 335
Natural frequencies for cables      146 148—150 164
Natural frequencies for cantilever beams      179—182 244 267 270 278 286 294 296 299 303—305 308 313 379
Natural frequencies for circular plates      482—487 503
Natural frequencies for classical plate theory      372 407 432
Natural frequencies for classical shell theory      561
Natural frequencies for composite beams      179 379
Natural frequencies for composite plates      373
Natural frequencies for cylindrical shells      635 636
Natural frequencies for elliptic membranes      480 481
Natural frequencies for elliptic plates      487 491
Natural frequencies for heated plates      543 544 548—551 555
Natural frequencies for inhomogeneous heains      179
Natural frequencies for membranes      474 477
Natural frequencies for microbeams      342 345—348 350 353
Natural frequencies for microplates      531 532 534—536 542 543
Natural frequencies for near-circular membranes      481
Natural frequencies for near-circular plates      491
Natural frequencies for prismatic beams      181
Natural frequencies for rectangular phtes      469—474
Natural frequencies for shear-deformable beams      179
Natural frequencies for spherical shells      646 652
Natural frequencies for strings      119 126 130 133
Navicr solution      378 470
Ncwton — Raplisoti      142
Newton      9 14 65—68 114 178 184 217 310 562
Newtonian      604
Newtonian, approach      192 382 387 400 563 576 604
Newtonian, coordinate      72 75
Newtonian, formulation      189 233 262
Nonclassical effects      1 6 7 174
Nonlinear      1 2 4
Nonlinear dynamics of annular plates      412
Nonlinear dynamics of beams      267
Nonlinear dynamics of buckled beams      318
Nonlinear dynamics of cables      137
Nonlinear dynamics of cantilever beams      24 182 267 278 291 304
Nonlinear dynamics of circular plates      499
Nonlinear dynamics of composite plates      373 380
Nonlinear dynamics of cylindrical shells      563—565 637
Nonlinear dynamics of douhly-curved shells      564
Nonlinear dynamics of heated plates      544
Nonlinear dynamics of microbeams      346
Nonlinear dynamics of panels      562
Nonlinear dynamics of plates      376
Nonlinear dynamics of rotating disks      524
Nonlinear dynamics of rotating rings      565 637
Nonlinear dynamics of spherical shelis      641—653
Nonlinear dynamics of strings      113 119 125 129—135
Nonlinear dynamics of systems      24 183
Nonlinear dynamics of valves      53
Nonlinear response of annular plates      544
Nonlinear vibrations of buckled beams      317—319 321 338
Nonlinear vibrations of cablcs      111
Nonlinear vibrations of cantilevcr beam      178
Nonlinear vibrations of cantilever plates      379
Nonlinear vibrations of circular plates      41 498—513
Nonlinear vibrations of composite plates      380 381
Nonlinear vibrations of cylindrical shells      564
Nonlinear vibrations of doubly-curved shells      564
Nonlinear vibrations of heated plates      469 544
Nonlinear vibrations of microplates      469
Nonlinear vibrations of near-square plates      527—531
Nonlinear vibrations of panels      381
Nonlinear vibrations of plates      469 528
Nonlinear vibrations of rotating disks      513—527
Nonlinear vibrations of sandwich plates      373
Nonlinear vibrations of shells      563 564
Nonlinear vibrations of strings      112
Nonlinear vibrations of valves      56
Nonlinear, analysis of continuous systems      53 373 562
Nonlinear, boundary conditions      4 186 344
Nonlinear, discrete systems      22
Nonlinear, elastic characteristics      53
Nonlinearities      4 24—26 53 61 65 121 163 178 223 278 299 309 317 319 327 330 332 506 634
Nonlinearities, classification of      4
Nonlinearities, curvature      223
Nonlinearities, electric      4 531
Nonlinearities, geometric      4 7 65 136 168 169 174 176—179 194 223 229 251 278 298 355 375—377 531 562 563 605 622
Nonlinearities, inertia      4 177 178 180 223 275 277 278 289 298 310 438 598
Nonlinearities, von Karman      563 606
Nonplanar dynamics      267
Nonplanar dynamics in the response of cables      137
Nonplanar dynamics in the response of cantilever beams      180—182 284—291 304-312
Nonplanar dynamics in the response of rings      565 638
Nonplanar dynamics in the response of taut strings      112
Nonstationary, parametric      178 223
Nonstationary, responses      278 565 637
Normal form      298 290
Orthonormalization      52 379
Orthotropic      87—89 94 95 97 372 373 377—381 406 412 415 447 454 544 627 628
Parametric excitation      24 112 181 223 268 270 284 319 565 637
Parametric resonance      179 267 537
Parametric resonance, combination      25 137 267 269 278 279 281—284 303 548 549
Parametric resonance, principal      24 26 137 267 269 270 273 285 286
Peeling stress      1 4 6
Period, -demultiplying bifurcation      319
Period, douhling bifurcation      23—26 112 181 318 319 332 335 336 339 564
Period, halving bifurcation      112
Period, multiplying bifurcations      23 24 26 182
Piecewise linear      374 561
Piezoactuator      448 741
Piezoceramic      450
Piezoelectric      98 376 377 446—448 450—452 456 464—467 53
Plates, asymptotic expansion      379 565 637
Plates, circular      355 373 375 379 38 388 389 395 401 411 412 481—488 498—513 517 524 532 536-543
Plates, composite      372—381 403 447 454 456 469 527 528
Plates, cylindrical bending of      372 377
Plates, governing equations      372 375 382 387 395 400 403 425 445—447 498 501
Plates, heated      544
Plates, internal resonance      499 503 504 508 5 3 519 529 550 551
Plates, micro      531—543
Plates, near circular      487
Plates, near square      499 527—529
Plates, rectangular      372 377—380 382—387 395 401 403—408 417 418 426 435 469—473 499 527 544 563
Plates, section      182 268 269 340 341
Plates, spinning      513 517
Plates, von Karman sequations      375 379—381 433 434 328 544
Polar, coordinates      335 389 395 408 411 415 474
Polar, decomposition      110 215 252 366 376
Polarization voltage      342
Posthucklinj      1 4 5 23 171 176 318 319 375 381 562
Precnned      263 278
Pretwisted beams      180 278
Primary resonance of      12 25 57 61 62
Primary resonance of buckled beams      319 324 328 331
Primary resonance of cablcs      137 138 152 153 158 161 164
Primary resonance of cantilever beams      81 268 269 291 292 306 312
Primary resonance of circular plates      503 504
Primary resonance of cylindrical shells      566 638
Primary resonance of douhly-curved shells      564
Primary resonance of miciobeams      346
Primary resonance of panels      38
Primary resonance of rotatingdisks      516 322 524 526
Primary resonance of spherical shells      564 645 650
Primary resonance of taut strings      112 121 124—127 129
Principle ot virtual work      69 70 110
Prismatic      169 175 181 189—191 223 246 247 249
Pseudo areleugth      288
Pseudo-state plane      268
Pull-in voltage      344 345 352 353 536 537 541—543
Pump, micro      531—543 545
PVDF      376
Radius of gyration      179 224 225 317
Ramherg Osgoodfoundation      179
Random vibration      8 137 138 268 381
Rayleigh — Ritz method      378
Rcissncr — Mindlin theory      372 373 370
Rcissner’s variational principle      28 380
Reconstitution, method of      139
Rectilinear coordinates      355 392 563
Reduced-ordcr model      53
Reduced-ordcr model, buckled beam      330 331
Reduced-ordcr model, microplate      531 54 543
Reduced-ordcr model, niicrobeam      342 345 351 353
Reduced-ordcr model, rotating disk      523 742
Refined sliear-dcformablciheortcs      370 378 561
Resonator      342 346 353
Rigid-body      65 66 69 72 100 105 229 246 251 232 256 257 263 593 560
Rigid-body, displacement      107 251
Rigid-body, rotation      65 98 110 207 208 214 256 362 596
Rigid-body, transformation      256
Rigid-body, translation      110 214 259 368
Rigidity      6
Rigidity, bending      28 178 470 532
Rigidity, shear      98 111
Rigidity, torsional      168 174 234 235 244
1 2 3
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