Nonlinear random vibration

Nonlinear random vibration: analytical techniques and applications

by To, Cho W. S.

Type Book
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"The book is a systematic treatment of several classes of analytical techniques and applications in nonlinear random vibration. The classes include exact solution of the Fokker-Planck-Komogorov equation, methods of statistical linearization, statistical nonlinearization techniques, methods of stochastic averaging, truncated hierarchy and other techniques. Many examples of the more popular classes, such as methods of statistical linearization, statistical nonllinearization techniques and methods…

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Title Statements

  • Full title :Nonlinear random vibration : analytical techniques and applications / Cho W.S. To.

Summary

"The book is a systematic treatment of several classes of analytical techniques and applications in nonlinear random vibration. The classes include exact solution of the Fokker-Planck-Komogorov equation, methods of statistical linearization, statistical nonlinearization techniques, methods of stochastic averaging, truncated hierarchy and other techniques. Many examples of the more popular classes, such as methods of statistical linearization, statistical nonllinearization techniques and methods of stochastic averaging, are presented. Many references are quoted. A special feature of the monograph is its incorporation of detailed steps in many examples. Thus, it is suitable for self-study, advanced level graduate students, and research scientists and engineers"--

"A systematic presentation of several classes of analytical techniques in non-linear random vibration. The book also includes a concise treatment of Markovian and non-Markovian solutions of non-linear differential equations"--

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Edition Statements

  • Publication Date:©2012.
  • Edition:2nd ed

Publication Statements

  • Publisher(s):CRC press/Balkema
  • Place of Publication:Leiden, the Netherlands
  • Language:eng
  • Publication Date:©2012.

The Physical Object

  • Description:vii, 295 pages : : illustrations ; : 26 cm.

Edition Identifiers

  • ISBN:9780415898973, 0415898978
  • oclc:ocn724642493
  • LC Classification:TA355
  • Dewey Decimal:620.3

Table of Contents

1. Introduction -- 2. Markovian and Non-Markovian solutions of stochastic nonlinear differential equations -- 3. Exact solutions of Fokker-Planck-Kolmogorov equations -- 4. Methods of statistical linearization -- 5. Statistical nonlinearization techniques -- 6. Methods of stochastic averaging -- 7. Truncated hierarchy and other techniques.

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