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Duffing简谐振子同伦分析法求解
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O241.7[理学—计算数学;理学—数学] O322[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]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
  • 相关基金：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）
作者： 冯少东[1], 陈立群[1,2]
关键词： Dulling简谐振子, 同伦分析法, 近似解, Duffing-harmonic oscillator, homotopy analysis method, approximate solution
中文摘要：

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．

英文摘要：

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.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965