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

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...

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Bibliographic Details
Published in:Journal of Zhejiang University. A. Science 2009, Vol.10 (9), p.1263-1268
Main Author: D. D. GANJI M. GORJI S. SOLEIMANI M. ESMAEILPOUR
Format: Article
Language:English
Subjects:
Duffing振子
五次非线性
强非线性
循证医学
振子方程
振荡器
能量平衡法
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Summary: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 α,β and y 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 appli- cable in engineering and other sciences.
ISSN:1673-565X
1862-1775