29424
Accession Number
20185
Title Of Article Chaper
Derivation and Application of the Fokker-Planck Equation to Discrete Nonlinear Dynamic Systems Subjected to White Random Excitation
Title Of Journal Book
The journal of the Acoustical Society of America
Volume
35
Issue
11
Pages
1683-1692
Collation
10 p. : ills., 1 fig.
Reference Bibliography
Includes bibliographical references
Language Of Text
English
Literature Type
Serial
Literature Level
Analytic
Abstract
The Fokker-Planck Equation is derived and applied to discrete nonlinear dynamic systems subjected to white random excitation. For the class of problems in which the nonlinearities involve only the displacements of the system, it is shown that exact solutions can be constructed for the stationary Fokker-Planck equation. It is further shown that if stationary solutions exist they are unique.
Keywords
Fokker-Planck equation;white random excitation;discrete; nonlinear; dynamic systems
pub_id
29424