Duffing简谐振子同伦分析法求解

冯少东; 陈立群

doi:10.3879/j.issn.1000-0887.2009.09.002

Duffing简谐振子同伦分析法求解

doi: 10.3879/j.issn.1000-0887.2009.09.002

冯少东¹,
陈立群^1,2

上海大学上海市应用数学和力学研究所,上海 200072;2.上海大学力学系,上海 200444

基金项目: 国家杰出青年科学基金资助项目(10725209);国家自然科学基金资助项目(10672092);上海市优秀学科带头人计划资助项目(09XD1401700);上海市重点学科建设资助项目(Y0103)

详细信息

作者简介:
冯少东(1984- ),男,浙江宁波人,硕士生(E-mail:shaodong6819@163.com);陈立群(1960- ),博士生导师(联系人.Tel:+86-21-66136905;E-mail:lqchen@shu.edu.cn).

中图分类号: O241.7; O322
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出版历程
- 收稿日期: 2009-01-13
- 修回日期: 2009-07-20
- 刊出日期: 2009-09-15

Homotopy Analysis Approach to the Duffing-Harmonic Oscillator

FENG Shao-dong¹,
CHEN Li-qun^1,2

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

摘要

摘要: 利用同伦分析方法求解了Duffing简谐振子，数值确定了变形方程中的辅助参数，得到了一族响应和频率的近似周期解，该解与精确解符合很好．结果表明，同伦分析法在求解强非线性振子时，仍然是一种行之有效的方法．
- Duffing简谐振子 /
- 同伦分析法 /
- 近似解
Abstract: The homotopy analysis is performed for the Duffing-harmonic oscillator.The auxiliary parameter in the deformation equation was numerically determined.The response and the frequency of the Duffing-harmonic oscillator were calculated.The analytical results are validated by the direct numerical simulations.
- Duffing-harmonic oscillator /
- homotopy analysis method /
- approximate solution

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参考文献(15)

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