Synopsis
Coherent and systematic, this text explores the behavior of linear and nonlinear dynamical systems subject to parametric random vibrations, by means of the theory of stochastic processes, stochastic differential equations, and applied dynamics. It distills decades of research to formulate new stochastic stability theorems and analytical techniques for determining the random response of nonlinear systems. In addition, it resolves controversies and paradoxes related to the interpretation of certain stochastic processes and the use of analytical methods.
After a brief overview of parametric vibration and its subclasses, the text surveys the fundamental concepts of random processes and their calculus rules, emphasizing the main elements necessary for the analysis of parametric vibration problems. Subsequent chapters address the stability and response analyses of linear and nonlinear systems with random coefficients. The final chapter presents an extensive compilation of experimental results from the literature of the field.
After a brief overview of parametric vibration and its subclasses, the text surveys the fundamental concepts of random processes and their calculus rules, emphasizing the main elements necessary for the analysis of parametric vibration problems. Subsequent chapters address the stability and response analyses of linear and nonlinear systems with random coefficients. The final chapter presents an extensive compilation of experimental results from the literature of the field.
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From the Publisher
Presents a coherent and systematic treatment of the behavior of linear and nonlinear dynamical systems subject to parametric random vibrations, by means of the theory of stochastic processes, stochastic differential equations, and applied dynamics. Distills decades of research, resulting in new stochastic stability theorems and analytical techniques for determining the random response of nonlinear systems. Resolves controversies and paradoxes which have arisen in the interpretation of certain stochastic processes and the use of the analytical methods. Includes extensive references to experimental results as found in the literature of the field.
"About this title" may belong to another edition of this title.
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Parametric Random Vibration (Paperback)
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Dover Publications, New York, 2008
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Paperback. Condition: new. Paperback. This coherent, systematic treatment examines linear and nonlinear dynamical systems subject to parametric random vibrations. It distills decades of research to formulate new stochastic stability theorems and analytical techniques for determining random response of nonlinear systems. It also resolves paradoxes related to interpretation of certain stochastic processes and analytical methods. 1985 edition. This systematic treatment examines linear and nonlinear dynamical systems subject to parametric random vibrations. It formulates stochastic stability theorems and analytical techniques for determining random response of nonlinear systems. 1985 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486462622