Coherent and self-contained, this volume explains the general method of statistical, or equivalent, linearization and its use in solving random vibration problems. Numerous examples, drawn from a wide variety of engineering problems, offer advanced undergraduate and graduate students a comprehensive view of the method's practical applications.
Subjects include general equations of motion and the representation of non-linearities, probability theory and stochastic processes, elements of linear random vibration theory, statistical linearization for simple systems with stationary response, statistical linearization of multi-degree of freedom systems with stationary response, and non-stationary problems. Additional topics include systems with hysteretic non-linearity, relaxation of the Gaussian response assumption, and accuracy of statistical linearization.
This updated edition features exclusive material newly prepared by Dr. Spanos, including an appendix, preface, and corrections to the original. 1990 edition.

From the Publisher

A comprehensive, self-contained treatment of statistical linearization and related techniques. Describes the solution of a wide variety of practical non-linear random vibration problems. Provides a systematic and orderly presentation of methodology, with applications ranging from simple to complex systems. Reviews current analytical tools and discusses methods of formulating appropriate mathematical models of real systems. Also discusses the concepts of random variables and random processes. Statistical linearization methods are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as buildings under earthquakes. Contains numerous examples drawn from a broad range of engineering problems.

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