商品簡介
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.
作者簡介
Dr. To joined the Department of Mechanical Engineering, University of Nebraska in 1996. Prior to joining UNL, he was a professor at the University of Western Ontario and an associate professor at the University of Calgary. He was a Reseach Fellow of the Natural Sciences and Engineering Research Council of Canada from 1982-1992, and a Research Fellow at the Institute of Sound and Vibration Research (ISVR), University of Southampton. He is a member of the American Society of Mechanical Engineers (ASME), the American Academy of Mechanics (AAM), the Society of Industrial and Applied Mathematics (SIAM), and a founder Fellow of the Institution of Diagnostics Engineers, U.K. He served as chair of the ASME Finite Element Techniques and Computational Technologies Technical Committee. Dr. To currently serves as the department graduate chair.
目次
Introduction. 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.
