An approximate method for analysing non-linear systems subject to random excitation

A solution technique based on the representation of the response of the non-linear system by a polynomial of the response of the linearized system is presented. The relation between the original non-linear system and the linearized system is introduced by considering the so-called extended moment eq...

Full description

Saved in:
Bibliographic Details
Published inVietnam journal of mechanics Vol. 22; no. 1
Main Authors Nguyen Dong Anh, Ninh Quang Hai
Format Journal Article
LanguageEnglish
Published Publishing House for Science and Technology 31.03.2000
Online AccessGet full text
ISSN0866-7136
2815-5882
DOI10.15625/0866-7136/9957

Cover

More Information
Summary:A solution technique based on the representation of the response of the non-linear system by a polynomial of the response of the linearized system is presented. The relation between the original non-linear system and the linearized system is introduced by considering the so-called extended moment equations and their closed set is to be solved to determine unknowns. For the Vanderpol oscillator subject to white noise excitation, the technique gives good approximation to the response moments as well as the probability density function.
ISSN:0866-7136
2815-5882
DOI:10.15625/0866-7136/9957