Interest in the study of random vibration problems using the concepts of stochastic process theory has grown rapidly due to the need to design structures and machinery which can operate reliably when subjected to random loads, for example winds and earthquakes. This is the first comprehensive account of statistical linearization - powerful and versatile methods with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems. The principal value of these methods is that unlike other analytical methods, they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.
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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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