1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS-Reference-Cited by-同舟云学术

1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS

Published:2014-12-30 Issue:4 Volume:14 Page:39-49
ISSN:1992-5980
Container-title:Вестник Донского государственного технического университета
language:
Short-container-title:Vestnik Donskogo gosudarstvennogo tehničeskogo universiteta

Author:

Anh N. D.¹,Zakovorotny Vilor Lavrentyevich²,Hao D. N.³,Chiem N. Х.⁴

Affiliation:

1. Institute of Mechanics, Hanoi, Vietnam

2. Don State Technical University, Russia

3. University of Information Technology, HochiMinh City, Vietnam

4. University of Le Quy Don, Hanoi, Vietnam

Abstract

The subharmonic response of one third order of Duffing oscillator under harmonic and random excitations is investigated for the first time by a technique combining the stochastic averaging method, the equivalent linearization method, and the technique of auxiliary function for Fokker-Planck equation. The averaged equations are linear zed so that the stationary density function of the approximate response can be found exactly by the technique of auxiliary function. The one third order subharmonic response obtained by the present technique is validated by numerical simulation. The significant contribution of this work is that it may lead to a new trend in investigating subharmonic oscillators in random nonlinear systems.

Publisher

FSFEI HE Don State Technical University

Reference29 articles.

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