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Response Analysis of Van der Pol Oscillator Subjected to Harmonic and Random Excitations

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.

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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.

Item Type: Article
Subjects: Electronics and Communications
Engineering Mechanics
ISI-indexed journals
Divisions: Faculty of Engineering Mechanics and Automation (FEMA)
Depositing User: Ms. Cam Le Tran Thi
Date Deposited: 19 Nov 2015 07:58
Last Modified: 19 Nov 2015 08:08

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