Energy methods in dynamics

✍ Scribed by Khanh Chau Le

Publisher: Springer
Year: 2011
Tongue: English
Leaves: 295
Series: Interaction of mechanics and mathematics
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Part I. Linear theory: 1. Single oscillator -- 2. Coupled oscillators -- 3. Continuous oscillators -- 4. Linear waves -- Part II. Nonlinear theory: 5. Autonomous single oscillator -- 6. Non-autonomous single oscillator -- 7. Coupled oscillators -- Nonlinear waves

✦ Table of Contents

Cover......Page 1
Front matter......Page 2
Harmonic Oscillator......Page 10
Damped Oscillator......Page 16
Forced Oscillator......Page 27
Harmonic Excitations and Resonance......Page 33
Conservative Oscillators......Page 42
Dissipative Oscillators......Page 49
Forced Oscillators and Vibration Control......Page 56
Variational Principles......Page 62
Oscillators with n Degrees of Freedom......Page 67
Chain of Oscillators......Page 78
String......Page 83
Beam......Page 89
Membrane......Page 93
Plate......Page 98
General Continuous Oscillators......Page 105
HyperbolicWaves......Page 116
DispersiveWaves......Page 125
ElasticWaveguide......Page 134
Energy Method......Page 144
Conservative Oscillator......Page 156
Dissipative Oscillator......Page 164
Self-excited Oscillator......Page 171
Oscillator withWeak or Strong Dissipation......Page 181
Parametrically-Excited Oscillator......Page 189
Mathieu’s Differential Equation......Page 197
Duffing’s Forced Oscillator......Page 202
Forced Vibration of Self-excited Oscillator......Page 209
Conservative Oscillators......Page 219
Bifurcation of Nonlinear Normal Modes......Page 227
KAM Theory......Page 234
Coupled Self-excited Oscillators......Page 242
Solitary and PeriodicWaves......Page 251
Inverse Scattering Transform......Page 258
Energy Method......Page 267
Amplitude Modulations......Page 276
Back matter......Page 289

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