Nonlinear interactions : analytical, computational, and experimental methods
著者
書誌事項
Nonlinear interactions : analytical, computational, and experimental methods
(Wiley series in nonlinear science)
John Wiley & Sons, c2000
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注記
"A Wiley-Interscience Publication"
Includes bibliographical references (p. 685-748) and index
内容説明・目次
内容説明
Nonlinear Interactions provides a coherent and unified treatment of analytical, computational, and experimental methods and concepts of modal interactions. This book is an obvious extension of Ali Nayfeh's well-known book Applied Nonlinear Dynamics (with Bala Balachandran). These methods are used to explore and unfold in a unified manner the fascinating complexities in nonlinear dynamical systems. The systems discussed are drawn from fluid mechanics and structural dynamics. Nonlinear interactions between high-frequency and low-frequency modes are of great practical importance. Through the mechanisms discussed in this book, energy from high-frequency sources can be transferred to the low-frequency modes of supporting structures and foundations, and the result can be harmful large-amplitude oscillations that decrease their fatigue lives. On the other hand, these mechanisms can be exploited to transfer the energy from a system to a sacrificial subsystem and hence decrease considerably the vibrations of the main system and increase its fatigue life.
目次
- Two-To-One Internal Resonance
- One-To-One Internal Resonance
- Three-To-One Internal Resonance
- Combination Resonances
- Systems with Widely Spaced Modes
- Multiple Internal Resonances
- Nonlinear Normal Modes
- Bibliography
- Subject Index.
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