Nonlinear interactions : analytical, computational, and experimental methods

書誌事項

Nonlinear interactions : analytical, computational, and experimental methods

Ali H. Nayfeh

(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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