Nonlinear Random Vibration : Analytical Techniques and Applications

This second edition of this 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. It covers Markovian and non-Markovian solutions of nonlinear stochastic differential equations, exact solutions of Fokker-Planck-Kolmogorov equations, methods of statistical linearization, statistical nonlinearization techniques, methods of stochastic averaging, truncated hierarchy techniques, and an appendix on probability theory.

This 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:
• a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations,
• exact solutions of Fokker-Planck-Kolmogorov equations,
• methods of statistical linearization,
• statistical nonlinearization techniques,
• methods of stochastic averaging,
• truncated hierarchy techniques, and
• 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.