Linearization methods for stochastic dynamic systems / L. Socha.

Format:

Book

Author/Creator:

Socha, Lesław, author.

Series:

Lecture notes in physics ; 730.

Lecture notes in physics ; 730

Language:

English

Subjects (All):

Differential equations, Linear.

Physical Description:

1 online resource (XI, 383 p.)

Edition:

1st ed. 2008.

Place of Publication:

Berlin ; Heidelberg : Springer, [2008]

Language Note:

English

Summary:

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 with continuous external and parametric excitations, yet these cover the majority of known approaches. The book contains an application chapter with emphasis on vibration analysis of stochastic mechanical structures as well as a chapter devoted to the assessment of the accuracy of the theoretical methods presented, both with respect to numerical and to experimental studies. The material derives partly from graduate course notes developed by the author for courses and seminars over the past 20 years.

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9783540729976

3540729976