Solution of nonlinear cubic-quintic Duffing oscillators using He's Energy Balance Method

被引：37

作者：

Ganji, D. D. ^{[1
]}

Gorji, M. ^{[1
]}

Soleimani, S. ^{[1
]}

Esmaeilpour, M. ^{[1
]}

机构：

[1] Univ Mazandaran, Dept Mech Engn, Babol Sar, Iran

来源：

JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A | 2009年 / 10卷 / 09期

关键词：

Energy Balance Method (EBM); Cubic-quintic Duffing equation; Oscillator; VARIATIONAL ITERATION METHOD; HOMOTOPY-PERTURBATION; POINCARE METHODS; LIMIT-CYCLES; EXPANSION;

D O I：

10.1631/jzus.A0820651

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, He's Energy Balance Method (EBM) was applied to solve strong nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. The complete EBM solution procedure of the cubic-quintic Duffing oscillator equation is presented. For illustration of effectiveness and convenience of the EBM, different cases of cubic-quintic Duffing oscillator with different parameters of alpha, beta and gamma were compared with the exact solution. We found that the solutions were valid for small as well as large amplitudes of oscillation. The results show that the EBM is very convenient and precise, so it can be widely applicable in engineering and other sciences.

引用

页码：1263 / 1268

页数：6

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