Nonlinear Random Vibration
by: Cho W.S. To
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This book provides a first systematic presentation of several classes of analytical techniques in nonlinear random vibration. It also includes a concise treatment of Markovian and non-Markovian solutions of nonlinear differential equations. The classes of analytical techniques considered are the exact solution of the Fokker-Planck-Kolmogorov equation, methods of statistical linearization, statistical nonlinearization techniques, methods of stochastic averaging, truncated hierarchy and other techniques such as functional series techniques. Many examples of the more popular classes, such as methods of statistical linearization, statistical nonlinearization techniques and methods of stochastic averaging, are presented. A comprehensive list of references and an index are given. A special feature of the book is its incorporation of detailed steps in many examples. Thus, it is suitable for self-study, advanced level graduate students, and research applied scientists and engineers.
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