Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity

被引：32

作者：

Guo, Zhongjin ^{[1
,2
]}

Leung, A. Y. T. ^{[1
]}

Yang, H. X. ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China

[2] Univ Tai Shan, Coll Math, Shandong 271021, Shandong, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 04期

关键词：

Harmonic balance; Bookkeeping parameter; Odd-nonlinearity; Cubic-quintic Duffing oscillator; LINDSTEDT-POINCARE METHODS; AMPLITUDE FREE-VIBRATIONS; PERTURBATION METHOD; EXPANSION; PARAMETER; EQUATION;

D O I：

10.1016/j.apm.2010.10.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new approach that the iterative homotopy harmonic balancing is presented for charactering and predicting analytical approximations of conservative oscillator with strong odd-nonlinearity in the paper. The new technique does not depend upon small parameter assumption and incorporates the salient features of both methods of the parameter-expansion and the harmonic balance. The results of applying this procedure to the studied examples that the cubic-quintic Duffing equation and Duffing-harmonic equation show the high accurate, simplicity and efficiency of the approach. The approach can be easily extended to other nonlinear oscillators. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1717 / 1728

页数：12

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