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Duffing简谐振子同伦分析法求解 被引量：6

Homotopy Analysis Approach to the Duffing-Harmonic Oscillator
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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. 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.
作者 冯少东 陈立群
机构地区 上海大学上海市应用数学和力学研究所 上海大学力学系
出处 《应用数学和力学》 CSCD 北大核心 2009年第9期1015-1020,共6页 Applied Mathematics and Mechanics
基金 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)
关键词 Dulling简谐振子 同伦分析法 近似解 Duffing-harmonic oscillator homotopy analysis method approximate solution
分类号 O241.7 [理学—计算数学] O322 [理学—一般力学与力学基础]
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参考文献15

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二级参考文献10

共引文献30

同被引文献66

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引证文献6

二级引证文献12

应用数学和力学
2009年 第9期

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