Linearization Methods for Stochastic Dynamic Systems

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. The aim of this book is to give a systematic introduction to and overview of the relatively simple and popular linearization methods available. The scope is limited to models...

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Bibliographic Details
Main Author: Socha, Leslaw (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
Series:Lecture Notes in Physics, 730
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Mathematical Preliminaries
  • Moment Equations for Linear Stochastic Dynamic Systems (LSDS)
  • Moment Equations for Nonlinear Stochastic Dynamic Systems (NSDS)
  • Statistical Linearization of Stochastic Dynamic Systems Under External Excitations
  • Equivalent Linearization of Stochastic Dynamic Systems Under External Excitation
  • Nonlinearization Methods
  • Linearization of Dynamic Systems with Stochastic Parametric Excitations
  • Applications of Linearization Methods in Vibration Analysis of Stochastic Mechanical Structures
  • Accuracy of Linearization Methods.