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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.9 P.1263-1268

http://doi.org/10.1631/jzus.A0820651


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


Author(s):  D. D. GANJI, M. GORJI, S. SOLEIMANI, M. ESMAEILPOUR

Affiliation(s):  Department of Mechanical Engineering, University of Mazandaran, Babol, Iran

Corresponding email(s):   ddg_davood@yahoo.com

Key Words:  Energy Balance Method (EBM), Cubic-quintic Duffing equation, Oscillator


D. D. GANJI, M. GORJI, S. SOLEIMANI, M. ESMAEILPOUR. Solution of nonlinear cubic-quintic Duffing oscillators using He’s Energy Balance Method[J]. Journal of Zhejiang University Science A, 2009, 10(9): 1263-1268.

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author="D. D. GANJI, M. GORJI, S. SOLEIMANI, M. ESMAEILPOUR",
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year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820651"
}

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%T Solution of nonlinear cubic-quintic Duffing oscillators using He’s Energy Balance Method
%A D. D. GANJI
%A M. GORJI
%A S. SOLEIMANI
%A M. ESMAEILPOUR
%J Journal of Zhejiang University SCIENCE A
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%P 1263-1268
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%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820651

TY - JOUR
T1 - Solution of nonlinear cubic-quintic Duffing oscillators using He’s Energy Balance Method
A1 - D. D. GANJI
A1 - M. GORJI
A1 - S. SOLEIMANI
A1 - M. ESMAEILPOUR
J0 - Journal of Zhejiang University Science A
VL - 10
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SP - 1263
EP - 1268
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820651


Abstract: 
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 γ 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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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2010-07-02 19:16:46

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