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| Авторизация |
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| Nayfeh A.H., Pai P.F. — Linear and Nonlinear Structural Mechanics |
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| Предметный указатель |
Absorber, vibration 26
Accelcrometer 132 268 294 312—314
Adjoint, bphcrical shell 648 649 651
Adjoint, bucklcd beam 326
Adjoint, cable 155 158—160
Adjoint, cantilcver bcaim 273 274 293
Adjoint, continuous systems 36 37
Adjoint, cylindrical shell 636 637 640
Adjoint, hinged-free beam 30—32 35
Adjoint, ncar-circular plates 489—501
Adjoint, near circularinciiihraiics 478 479
Adjoint, non-self 35
Adjoint, not self 31 32
Adjoint, self 30—32 33—37 47 60 155 158 274 326 348 479 489 518 533 637 649
Adjoint, thermally loaded plate 553
Adjoint, valve 60
Aeroelastic 27
Aeroelastic, stability 178 263
Aeroelastic, tailoring 6
Aerospace 6 171 562
Anisotropic 78
Anisotropic, beam 172 174 175 183 226 235
Anisotropic, material 85 86
Anisotropic, plate 372—374 378 380 417 447
Anisotropic, shell 560 561 615
Annular 408—412 481—498 510 544
Annular, microplates 531—537
Arclength continuation 113
Autocorrelation function 268
Autoparamctric (see Internal resonance)
Averaging, method of 25 26 178 180 513 565 637
Backlash 4
bar 2 168 169
Beam 171
Beam theory, Euler — Bemoulli 4 172—174 183 186 215 245
Beam theory, layerwise slicar-deformable 192 194
Beam theory, linear shen-deformable 186—194
Beam theory, nonlinear 2-D 215—226
Beam theory, nonlinear 3-D 226—245
Beam theory, nonlinear 3-D curved 245—265
Beam theory, polynomial equation 235—238
Beam, bending modes 304—306
Beam, box 174
Beam, cantilever 223 240 267—316
Beam, equations of motion 186 189
Beam, Euler — Bemoulli 4 172—174 183—186 215-245
Beam, laminated 174 192—194 732
Beam, parametrically excited 267—291
Beam, pretwistcd 180 290
Beam, stuhby 179
Beam, theories 17 263
Beam, thick 253
Beam, Timoshenko 91 192
Beam, torsional modes 182 278 285 379
Beam, whirl 177 80 182
Bending, cylindrical 372 377
Berg’s theory 372 373 375 380
Bernoulli, Euler, beam theory 4 172—174 183—186 215-245
Bessel junctions 475—498 515 550
Bifurcation, Hopf 23 26 112 124 130 131 13 145 146 194 289—301 310 339 340 564
Bifurcation, normal form of a Hopf 289 290
Bifurcation, pitchfork 130 131 277 282 283 289—291 302 303 309 310 555 557
Bifurcation, saddle-node 112 277 282 289 290 303 310 527 555 557
Bifurcation, secondary Hopf 23 25 319 336
Bifurcation, torus-doubling 112 (see also Hopf bifurcation Period)
Bonding 7 562 617 628
Boron-epoxy plates 6 8
Boundary conditions, nonlinear 4 186 344 659
Boundary, crisis 112 135
Boundary, layer 6 7 24 175 176 379
Boundary-value problem 30 3 107 298 310 344 348 352 379 504 509 523 532 535 539
Breathing mode, cylindrical shell 564—566 636—641
Breathing mode, spherical Midi 647—653
Buckled beam 316 341
Buckled beam, clamps 334 335
Buckled beam, experiment 331—338
Buckled beam, global dynamics 334 341
Buckled beam, linear vibration problem 321—324
Buckled beam, nonlinear vibration 324—331
Buckled plates 379
Buckling 4
Buckling, level 319 322 323 330—333
Buckling, load 48 52 178
Buckling, mode shape 317
Buckling, post 4 5 171 176 318
Buckling, problem 320 321
Cable 136 167
Cable, compressibility 136 137 14
Cable, discretization 150—152 161—167
Cable, Lagrangian strain 136
Cable, mode shapes 148—150
Cable, multiple resonance 137
Cable, natural frequencies 148—150
Cable, neo-Hookean material 136
Cable, one-to-one resonance 137 138 150
Cable, Poisson’s effect 136 137 40
Cable, single-mode response 152 167
Cable, static deflection 141—145
Cable, two-toone resonance 137 138 150 163 167
Cable, von Karman strain 136
Calculus of variations 27 64 66 562 635
Cantilever beams 6 178 179 225
Cantilever beams in a supersonic stream 31
Cantilever beams, autoparameiric resonance 182
Cantilever beams, combination parametric resonance 278—284
Cantilever beams, Conolis effect 278
Cantilever beams, curvature nonlinearity 275 277 734
Cantilever beams, discrete mode of 66
Cantilever beams, energy transfer 270
Cantilever beams, equations of motion 240—245
Cantilever beams, experiment 267—270 312—316
Cantilever beams, follower force 278
Cantilever beams, Galerkin procedure 318 319
Cantilever beams, inertia nonlinearity 275 277
Cantilever beams, modulated motion 270 285 310
Cantilever beams, natural frequencies 294 299 303 305 313
Cantilever beams, nonlinear dynamics 223
Cantilever beams, nonplanar dynamics 284—291 304—312
Cantilever beams, parameter estimation 296 297
Cantilever beams, preconed 278
Cantilever beams, primary resonance 291—295
Cantilever beams, principal parametric icsonance 182 223 270—278
Cantilever beams, quadratic damping 270 277
Cantilever beams, slow dynamics 270
Cantilever beams, subcombination icsonance 298—304
Cantilever beams, time averaged Lagrangian 285 306
Cantilever beams, torsional mode 278 285 3 5
Cantilever beams, Uploaded 249 250
Capacitive microswitches 342
Cauchy stresses 99 100
Chaotic attractor 5 39 124
Circular, cross scction 234 235 237 240 249 251
Circular, cylinder 26
Circular, cylindrical shell 562 508 576 588—614
Circular, membrane 474—480
Circular, plate 373 375 379 381 388 392 395 401 402 411 481—513 531—557
Circular, ring 181 265
Circulatory effect 19
Clamps 334 335
Classical 382 393
Classical, laminate theory 378
Classical, linear plate theory 89 96 371 372 375 379
Classical, linear shell theory 560 561 566 577
Classical, lock frequency 268
Classical, non- 1 2 7 174
Classical, nonlinear plate theory 403—416 425—435
Classical, nonlinear shell theory 582—588
Cluirdwisc 182
Codimension 285
Combination resonance 181 183 267 504
| Combination resonance in cantilever beams 269 278—284
Combination resonance in circular plates 544 349—557
Combination resonance, simultaneous 137 181
Combination resonance, sub 298—304 544
Commensurate 122 181 182 301 319 336 340 564
Companion mode 508 565 636 638
Compatibility 65 107 108 411 416 502 5 4
Compliance matrix 89—98
Concentrated, load 177 513
Concentrated, mass 4 54 179
Concentration, stress 7
Conduction, heat equation 414 533 544 545 547
Constitutive equations 4 254 560
Constitutive equations, anisotropic 85 86
Constitutive equations, hygro-themial 98 468
Constitutive equations, isotropic 90—94
Constitutive equations, orthotropic 87—90
Constitutive equations, tbermoeiastie 88 93 4 5
Constraint 3 4 65 66 70—72 176 222 231 242 318 372 565
Continuity-based method 379
Coordinate, curvilinear 80—82 99 100 107 195—200 216 246 355
Coordinate, cylindrical 77 78 103 104 588
Coordinate, helical 567 508
Coordinate, polar 389 395 408 412
Coordinate, spherical 78—81 105 106
Coriolis cffect 4 278
Correction (actor 174 191 373 374 402 446 561 608
Coulomb friction 7
Coupling, elastic 7 172 174 180 226 374
Coupling, extension-bending 168 417 560
Coupling, thermoelastic 546 547
Crisis 113 135
Cross-ply 373 378—381 405 406 412 564
Crossover 137 138
Curvature, bending 198 358 361 420
Curvature, deformed 206 247 252 253 358—361 365 420 616 620 628 632
Curvature, Initial 2 201 238 252—255 262 265 355—357 392 417—420 426 559 500
Curvature, normalized 199 219
Curvature, real 199 214 219 361 368
Curvature, twisting 177 212 238 263 358 361 366 417 420 629
Curvature, variation of 210 355 365 366
Curved 2 355 559
Curved, beam 2 172 176 200 207 212 245 264
Curvilinear coordinates 76 80 99 108 195 198 200 216 248 355 356 358 388 392 395 396 417 446 559 563 566 588
cutouts 380
Cylindrical tending 372 311
Damper 9 66—68 70 72 98 544
Damping 7
Damping, estimation of 296 297
Damping, quadratic 270 277
Degenerate, classes of shells 559
Degenerate, mode 21 513 036
Deldinination 4 7 193 381 449 617
dielectric constant 342 532
Diffusion of heat 546
Discontinuities 374 467
Disk, circular 498 513—527
Disk, imperfect 499
Disk, rotating 23 513 517
Disk, rotating, equations of motion 517
Disk, vibration of 499
Dislocation 7 8
Displacement, concept of local 21 376 563
Displacement, global 44 75 174 423
Displacement, local 214 215 218—220 229 251 252 258 366 427 436 437 447 582 583 593 595 615
Displacement, warping 176 194 215 369
Driven mode 565 636 637
Dufling equation 381 506
Effect, circulatory 19
Effect, Coriolis 278
Effect, gyroscopic 19
Effect, hygro-thermal 98
Effect, nonclaxsical 7 174
Effect, piezoelectric 98
Effect, Poisson's 115 117 136 137 185
Effect, shear 4 173 179 376 381 561
Effect, shortening 182 221
Effect, stretching 18 186 224
Effect, thermal 414 46 545
Effective nonlineariiy 125 158 160 163—167 223 275 289 294 296 297 329 330 331 349—351 506 507 512 513 517 555
Elastic, constraint 318
Elastic, coupling 6 7 112
Elliptic function 318
Equations of motion for cantilcvcr beam 66 242
Equations of motion for circular plate 481 498
Equations of motion for cylindrical shell 631 589
Equations of motion for general plate 372 377
Equations of motion for membrane 474 477
Equations of motion for microbeam 342
Equations of motion for microplate 532—537
Equations of motion for rectangular plate 469
Equations of motion for rotating disk 516 517
Equations of motion for shell 563 566 577 581 589 625
Equations of motion for spherical shell 641
Equations of motion for themioelastic plate 412—415
Equations of motion for, buckled beam 316
Estimation, parameter 296
Euler, angles 177 195 196 197 200 202 204 208—210 226 236 238 240 243 244 257
Euler, Bernoulli beam 4 172 174 183—186 217—245
Euler, buckling load 178
Euler, Lagrange equations 61 64 72 73 635 640 652
Euler, like rotations 177 178 240
Euler, rotations 177 179 376
Fiapwise motion 178 182 379
Fiber-reinforced lamina 96
Fiber-reinforced lamina, mile difference method 318
Finite element meihod 43 64 174 178 179 373 378 380 381 467
Flexural, -flexural vibration 244
Flexural, mode 285 564—566 630 638 641
Floppy disk 517 519—522 524 525
Floptical path 180
Floquet, multiplier 339
Floquet, theory 310 564
Flutter 1 5 6 23 176 375 376 562
Follower force 278
Foundation, elastic 380 517
Fourier transform 374
Fundamental matnx method 379
Galerkin procedure 53 61
Galerkin procedure, circular plates 379 504 509
Galerkin procedure, inicrobeam 319 324 327 331
Galerkin procedure, microplate 531 532 536 538
Galerkin procedure, rectangular plates 379 381 530
Galerkin procedure, rotating disk 522
Galerkin procedure, shells 563 564
Galerkin procedure, shortcomings of 53
Galerkin procedure, strings 126 138 150 161
Gram — Schnndt procedure 52
Graphite-cpoxy 6 182 374 379 454 629
Grccn — Lagrange strain 176 177
Green identity 478 489
Gudonov procedure 52
Gyration, radius of 179 224 225 317
Gyroscopic effect 19
Hamilton 72 73 1 12
Hamilton, equations 74
Hamilton, extended principle 28 54 55 66 71 109 110 140 177 178 187 226 231 254 260 284 285 287 298 300 307 377 379 380 382 575 580 585 596 601 604 606 625 634
Hamilton, theories 70
Hamiltonian 74 112
Hardening nonlinearity 296 309
Hardeningresponsc, behavior 137 161 330 331 350 381
Harmonic balance, llclical spring 53 54 55 264
Harmonic balance, method of 25 318 380 381
Helicopter 6 171 178 180 240 245 246 263
Hencky — Mindlin theory 402 440
Heterogeneity 174 176
Heterogeneous 7 85 175 170
Hierarchical finite element 380
Hopf bifurcation 23 25 26 112 130 1 31 133 134 138 182 289 290 291 310 339 564
Hopf bifurcation, generic 289
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