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

Zhongjin Guo; A.Y.T. Leung; H.X. Yang

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

机译：具有强奇非线性的保守振荡器的迭代同伦谐波平衡方法

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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.

机译：本文提出了一种新的迭代同伦谐波平衡方法，用于表征和预测具有强奇非线性的保守振荡器的解析逼近。新技术不依赖于小的参数假设，而是结合了参数扩展和谐波平衡这两种方法的显着特征。将该程序应用于研究实例的结果表明，三次三次Duffing方程和Duffing谐波方程显示了该方法的高精度，简便性和高效性。该方法可以轻松地扩展到其他非线性振荡器。

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来源
《Applied Mathematical Modelling》 |2011年第4期|p.1717-1728|共12页
作者
Zhongjin Guo; A.Y.T. Leung; H.X. Yang;
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作者单位

College of Mathematics, University ofTai Shan, Shan Dong271021, China Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China;

Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China;

Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
harmonic balance; bookkeeping parameter; odd-nonlinearity; cubic-quintic duffing oscillator;

机译：谐波平衡;簿记参数;奇非线性;三次五次Duffing振子;

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2. Iterative Homotopy Harmonic Balance Approach for Determining the Periodic Solution of a Strongly Nonlinear Oscillator [J] . Chen Huaxiong, Ni Mingkang Mathematical Problems in Engineering . 2015,第Pta22期

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4. Application of direct iteration in harmonic balance analysis of LC oscillators [C] . Persic, B. Electronics, Circuits, and Systems, 1996. ICECS '96., Proceedings of the Third IEEE International Conference on . 1996

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6. KvN mechanics approach to the time-dependent frequency harmonic oscillator [O] . Irán Ramos-Prieto, Alejandro R. Urzúa-Pineda, Francisco Soto-Eguibar, -1

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7. Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity [O] . Guo Zhongjin, Leung A.Y.T., Yang H.X. 2011

机译：具有强奇非线性的保守振荡器的迭代同伦谐波平衡方法

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

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