relation: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/1242/
title: Response Analysis of Van der Pol Oscillator Subjected to Harmonic and Random Excitations
creator: Nguyen, Dong Anh
creator: V., L. Zakovorotny
creator: D., N. Hao
subject: Electronics and Communications
subject: Engineering Mechanics
subject: ISI-indexed journals
description: 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
type: Article
type: PeerReviewed
identifier:   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.      
relation: doi:10.1016/j.probengmech.2014.05.001