Nonlinear Random Vibration : Analytical Techniques and Applications

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.