Description
Book SynopsisThis second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include:
â a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations,
â exact solutions of Fokker-Planck-Kolmogorov equations,
â methods of statistical linearization,
â statistical nonlinearization techniques,
â methods of stochastic averaging,
â truncated hierarchy techniques, and
â an appendix on probability theory.
A special feature is its incorporation of detailed steps in many examples of engineering applications.
Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.
Trade ReviewIn summary, the technical material in Prof. To’s 2012 second edition of Nonlinear Random Vibration: Analytical Techniques and Applications is well presented, of sufficient depth, detail, and quality, and supported by a good number of solved example problems.
Robert M. Koch
Naval Undersea Warfare Center, Newport, RI, USA
In: Noise Control Engr. J. 61 (2), March-April 2013, pp 251-252
Table of ContentsIntroduction. Markovian and Non-Markovian Solutions of Stochastic Nonlinear Differential Equations. Exact Solution of the Fokker-Planck-Kolmogorov Equation. Methods of Statistical Linearization. Statistical Nonlinearization Techniques. Methods of Stochastic Averaging. Truncated Hierarchy and other Techniques.
