PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC PERTURBATION METHOD

Authors: Chen S.H.¹; Yang X.M.¹; Cheung Y.K.²

Source: Journal of Sound and Vibration, Volume 212, Number 5, May 1998 , pp. 771-780(10)

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Abstract:

The elliptic perturbation method is applied to the study of the periodic solutions of strongly quadratic non-linear oscillators of the form x?+c1x+c]2x2=epsilonf(x,x.), in which the Jacobian elliptic functions are employed. The generalized van der Pol equation with f(x,x.)=mu0+mu1x-mu2x2 is studied in detail. Comparisons are made with the solutions obtained by using the Lindstedt-Poincare method and Runge-Kutta method to show the efficiency of the present method. Copyright 1998 Academic Press Limited

Language: English

Document Type: Research article

Affiliations: 1: Department of Mechanics, Zhongshan University, Ghangzhou, People's Republic of China 2: Department of Civil and Structural Engineering, University of Hong Kong, Hong Kong

Publication date: 1998-05-01