Solution of Cubic-Quintic Duffing Oscillators using Harmonic Balance Method

被引：0
|
作者：
Hosen, M. A. [1 ,2 ]
Chowdhury, M. S. H. [2 ]
机构：
[1] Rajshahi Univ Engn & Technol, Dept Math, Rajshahi 6204, Bangladesh
[2] Int Islam Univ Malaysia, Kulliyyah Engn, Dept Engn Sci, Kuala Lumpur 50728, Malaysia
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2016年 / 10卷
关键词：
Approximate frequency; Harmonic balance method; Cubicquintic Duffing oscillator; Analytical solutions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear algebraic equations is solved in this method. The new method avoids the necessity of numerically solving sets of algebraic equations with very complex nonlinearities. Numerical comparisons between the HBM and the exact solutions reveal that the HBM is a promising tool for strongly nonlinear oscillator's problems.
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页码：181 / 192
页数：12
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