修正Lindstedt-Poincare与同伦摄动方法的组合

IF 2.8 4区工程技术 Q1 ACOUSTICS

Journal of Low Frequency Noise Vibration and Active Control Pub Date : 2022-12-23 DOI:10.1177/14613484221148049

M. Alam, Nazmul Sharif, Md Helal Uddin Molla

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引用次数: 3

摘要

利用联合修正Lindstedt-Poincare和同伦摄动方法研究了一些强非线性振子。与改进的Lindstedt-Poincare方法相比，该方法的解精度更高。此外，解的确定比通常的同伦摄动方法更简单。本文还讨论了本方法与其他现有方法的异同。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Combination of modified Lindstedt-Poincare and homotopy perturbation methods

Some strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than usual homotopy perturbation methods. Some similarities and dissimilarities between the present method and other existing methods have also been discussed.

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来源期刊

Journal of Low Frequency Noise Vibration and Active Control Engineering-Mechanical Engineering

CiteScore

4.90

自引率

4.30%

发文量

审稿时长

15 weeks

期刊介绍： Journal of Low Frequency Noise, Vibration & Active Control is a peer-reviewed, open access journal, bringing together material which otherwise would be scattered. The journal is the cornerstone of the creation of a unified corpus of knowledge on the subject.