Parametric Random Vibration (Dover Books on Engineering) - Softcover

Raouf A. Ibrahim

Softcover

ISBN 10: 0486462625 ISBN 13: 9780486462622

Publisher: Dover Publications, 2008

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.

About this title

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.

Edition details

• Publisher: Dover Publications
• Publication date: 2008
• Language: English
• ISBN 10: 0486462625
• ISBN 13: 9780486462622
• Binding: Paperback
• Number of pages: 352