Parametric Random Vibration
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.
1008587504
Parametric Random Vibration
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.
19.95 In Stock
Parametric Random Vibration

Parametric Random Vibration

by Raouf A. Ibrahim
Parametric Random Vibration

Parametric Random Vibration

by Raouf A. Ibrahim

Paperback

$19.95 
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Overview

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.

Product Details

ISBN-13: 9780486462622
Publisher: Dover Publications
Publication date: 01/11/2008
Series: Dover Books on Engineering Series
Pages: 352
Product dimensions: 6.12(w) x 9.25(h) x (d)

Table of Contents


Errata List
1. Parametric Vibrations
2. Random Variables and Stochastic Processes
3. Stochastic Calculus Operations
4. Calculus of Stochastic Processes
5. Generation of Response Statistics
6. Stochastic Averaging Methods
7. Parametric Stochastic Stability
8. Parametric Random Response
9. Experimental Results
References
Unreferenced Literature
Principal Notations
Index
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