Nonlinear Interactions: Analytical, Computational, and Experimental Methods (Wiley Series in Nonlinear Science)

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9780471175919: Nonlinear Interactions: Analytical, Computational, and Experimental Methods (Wiley Series in Nonlinear Science)
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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.

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About the Author:

ALI H. NAYFEH, PhD, is a University Distinguished Professor of Engineering Science and Mechanics at the Virginia Polytechnic Institute and State University, Blacksburg, Virginia. Professor Nayfeh is Editor-in-Chief of the journal Nonlinear Dynamics and the Journal of Vibration and Control. He has authored or coauthored a number of books, including Applied Nonlinear Dynamics (with Bala Balachandran), Methods of Normal Forms, Introduction to Perturbation Techniques, Nonlinear Oscillations (with Dean T. Mook), and Perturbation Methods, all from Wiley.

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"the book is an essential text/reference which should be reserved a privileged place on the shelf" (Meccanica, Vol.35, No.6, 2001)

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