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Nayfeh A.H., Mook D.T. — Nonlinear Oscillations
Nayfeh A.H., Mook D.T. — Nonlinear Oscillations



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Название: Nonlinear Oscillations

Авторы: Nayfeh A.H., Mook D.T.

Аннотация:

A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. Begins with fundamental concepts and techniques of analysis and progresses through recent developments. Provides an overview that abstracts and introduces main nonlinear phenomena. Treats systems having a single degree of freedom, introducing basic concepts and analytical methods; extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Uses simple physical examples to explain nonlinear dispersive and nondispersive waves. Unifies notation and modifies analysis to conform to discussions. Solutions are worked out in detail for numerous examples and results are plotted and explanations are couched in physical terms. Contains an extensive bibliography.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1979

Количество страниц: 705

Добавлена в каталог: 14.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Stretching, of midplane, of wire      436
Stretching, of midplane, waves      571
String      30 35 387 447 448 485—500 534
String, hanging in fluid      268 486
String, nonplanar motion of      35
String, parametrically excited      20 258 259
string, stretched      350
String, survey      444
String, transverse motion      522—523
String, violin      106
String, waves in      571 608
String, whirling motion of      35
String-mass system      486
Structural dynamics      see Bar; Beam; Column; Disc; Frame; Membrane; Plate; Ring; Strings
Strutt diagram      277
Subharmonic resonance      174 184 202 210 217 374 469 472 485
Subharmonic resonance, caused by parametric excitation      341
Subharmonic resonance, for Duffing equation      13 174 179—183 188 190
Subharmonic resonance, for hinged-hinged beam      199—201 414 465—467
Subharmonic resonance, for parametrically excited Duffing equation      344
Subharmonic resonance, for parametrically excited Rayleigh oscillator      343
Subharmonic resonance, for pendulum      239
Subharmonic resonance, for reentry body      443
Subharmonic resonance, for systems with quadratic nonlinearities      14 15
Subharmonic resonance, for van der Pol oscillator      214—216 255
Superharmonic resonance      184 202 210 217 374 469 472
Superharmonic resonance for Duffing equation      12 13 174—179
Superharmonic resonance for hinged-clamped beam      478—480
Superharmonic resonance for hinged-hinged beam      463—464
Superharmonic resonance for pendulum      239
Superharmonic resonance for system with      188 190 273—279
Superharmonic resonance for van der Pol oscillator      211—214 255
Superharmonic resonance, quadratic nonlinearity      198—199 413—414
Supersonic flow      107 269 508
Surface tension      615
Swinging spring      261 369—370 379
Swinging spring with moving support      261 360 370 436
Synchronization      17 205 375
Systems: conservative      1—3
Systems: continuous      30—35 444—543
Systems: control      129
Systems: elastic      259
Systems: finite-degree-of-freedom      26—30
Systems: forced      6—20
Systems: gyroscopic      27—28
Systems: holonomic      72
Systems: nonconservative      3—6
Systems: parametrically excited      20—26 258—364
Systems: singularly perturbed      144
Systems: third-order      151 255
Table 2-1      67
Table 2-2      71
Table 2-3      76
Table 7-1      457
Table 7-2      478 479 481
Table 7-3      517
Tapered beam      447
Taylor series      546 557
Tension, in string      487
Tension, surface      615
Theorem, mean-value      108
Thermally-driven oscillations      572
Theta function      369
Thickness-shear      501 502
Thin-walled      448
Third-harmonic resonance      596—599
Third-order      see System
Three-body problem      149 150 375—379
Three-body problem, elliptic restricted      331
Thrust      269
Time-dependent boundary conditions      454
Timelike      553
Tone      438. See also Resonance
torque      149 225 396
Torsinal, instability      268
Torsinal, instability, vibration      444 448
Torsinal, instability, waves      487 601
Trajectory      2 42 109
Trajectory, closed      3 45
Trajectory, singular      109
Transducer      262
Transducer, quartz      367
TRANSFER      see Energy
Transformation      121
Transformation, linear      111
Transition curves      277 283 300 310 349
Transition curves for column      24
Transition curves for gyroscopic systems      336 338
Transition curves for Hill's equation      295—299
Transition curves for Hill's equation with damping      301
Transition curves for Mathieu equation      21 278 288—290
Transition curves for Mathieu equation with damping      292—294 301 309
Transition curves for multidegree-of-freedom systems      209—317 320—321
Transition curves for parametrically excited column      319
Transition curves for swinging spring      437
Transition curves, determination, by Lindstedt — Poincare technique      286—290
Transition curves, obtained from Hill's determinant      286
Transition curves, technique      286—290
Transmitting material      563
Transverse waves      544 545
Transverse: oscillations      379
Transverse: waves in beam      583—601
Traveling waves      35 544
Triangular points      396
Triangular points, plate      502 508 see
Triode      see Circuit
Troublesome, terms      307—317. See also Secular terms; Small divisors
True coordinate      372
Truss      268
Tsunamis      568
Tube      572
Tube, hyperelastic      506 see also Vacuum
Tubular motion      see Nonplanar motion
tuning      405 519
Turbine      505
Twisting moment      501
Two-body problem      40 41
Ultraharmonic      463. See alsoHarmonic
Ultrasubharmonic resonance      15 179 374.
Uniformly valid      120
Vacuum tube      104 374
Valve      535
van der Pol equation      3 6 103 105 143 144 147
van der Pol equation, forced response      256
van der Pol equation, generalized      129
van der Pol equation, primary resonance      19 147 204—209
van der Pol equation, with delayed amplitude limiting      151 255
Variation of parameters      121—122 136 240
Variation of parameters for nonideal system      230
Variational equations      270 352 418
Variational equations, principle      503
Variational equations, problem      504
Varying properties      443 446 447.
Velocity: characteristic      551
Velocity: of propagation      548
Velocity: particle      546 553 556
Velocity: phase in spinning membrane      543
Velocity: wave      560 see also Group velocity
violin string      106 485
Viscoelastic      563
Viscoelastic beams      449
Viscoelastic damping      100 268
Viscoelastic material      605 607
Viscoelastic plates      501
Viscoelastic structures      445
Viscous damping      96 97 221 449.
Viscous effects: on combination resonances      24
Viscous effects: on simple resonances      23
Voight, solid      100 564
Voight, solid, material      607
Von Karman equations      502—503 505 507
Vortex sheets      100
Water: shallow      615
Water: waves on      38 601
wave velocity      see Velocity
Waveform      562 563 565 570 571
waveguide      363
Wavelet      560 566 578
Wavenumber      544 615
Wavenumber, shift      589 see also Critical speed
wavepacket      37 38 584 585 598
Wavepacket, interaction of      597 599
Waves      35—38 544—616
Waves in deep water      38
Waves in spinning disk      506
Waves on surface of fluid      100
Waves, bloch      273
Waves, capillary-gravity      150
Waves, caused by pulsating bubble      101
Waves, classification of      544
Waves, elastic in periodic media      348
Waves, electromagnetic      363
Waves, flexural      505
Waves, interaction of      571-^83
Waves, sound      361
Waves, stationary      506
Waves, three-dimensional      588
Waves, underwater      367
Waves, uniform      585 see also Dispersive waves; Longitudinal waves; Nondispersive waves; Simple wave; Sinusoidal wave; Transverse wave
Weak-shock theory      562 564—568
Weber number      615
Weighted residuals      446. See also Galerkin method
Wheel      82 83 92
Wheel with attached rod      431 see also Turbine
Wheel, car      107
Whirling motion      35
Whirling motion of shaft      106 107
Wind-induced oscillations      604
Wing      98—100 181
Wing, rotary      269
Wire, stretched      436. See also String
Work-hardening material      546
wronskian      277
Yaw      371 373
Yawing motion      99
Young's modulus      448 487 502 524 544 545 571
Zeta function      369
1 2 3 4 5
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