Parametric Random Vibration (Mechanical Engineering Research Studies)

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9780471908302: Parametric Random Vibration (Mechanical Engineering Research Studies)
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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.

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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.

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Other Popular Editions of the Same Title

9780486462622: Parametric Random Vibration (Dover Books on Engineering)

Featured Edition

ISBN 10:  0486462625 ISBN 13:  9780486462622
Publisher: Dover Publications, 2008
Softcover

9780863800320: Parametric Random Vibration (Engineering Dynamics)

Resear..., 1985
Hardcover

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Ibrahim, Raouf A.
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