eprintid: 1242
rev_number: 11
eprint_status: archive
userid: 5
dir: disk0/00/00/12/42
datestamp: 2015-11-19 07:58:32
lastmod: 2015-11-19 08:08:43
status_changed: 2015-11-19 07:58:32
type: article
metadata_visibility: show
creators_name: Nguyen, Dong Anh
creators_name: V., L. Zakovorotny
creators_name: D., N. Hao
title: Response Analysis of Van der Pol Oscillator Subjected to Harmonic and Random Excitations
ispublished: pub
subjects: ECE
subjects: Mechanics
subjects: isi
divisions: fac_fema
abstract: The response of the Van der Pol oscillator subjected to combined harmonic and random excitations is investigated by a technique combining two excellent methods, namely the stochastic averaging method and the equivalent linearization method. The original equation is averaged by the stochastic averaging method at first. Then the resulting nonlinear averaged equations are linearized by the equivalent linearization method so that the equations obtained can be solved exactly by the technique of auxiliary function. The mean square response of the Van der Pol oscillator is computed algebraically and compared to the ones obtained by numerical simulation and by technique combining methods of stochastic averaging and equivalent non-linearization. The results show that the proposed technique gives a good prediction on mean square responses of the Van der Pol oscillator. In addition, the proposed technique can be applied to other nonlinear systems for it does not require any special conditions, and it can be improved by advanced optimization criteria of the equivalent linearization method.
date: 2014
date_type: published
official_url: doi:10.1016/j.probengmech.2014.05.001
full_text_status: none
publication: Probabilistic Engineering Mechanics
volume: 37
pagerange: 51-59
refereed: TRUE
citation:   Nguyen, Dong Anh and V., L. Zakovorotny and D., N. Hao  (2014) Response Analysis of Van der Pol Oscillator Subjected to Harmonic and Random Excitations.  Probabilistic Engineering Mechanics, 37 .   pp. 51-59.