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刚-柔体动力学方程的保辛摄动迭代法

吴锋 高强 钟万勰

吴锋, 高强, 钟万勰. 刚-柔体动力学方程的保辛摄动迭代法[J]. 应用数学和力学, 2014, 35(4): 341-352. doi: 10.3879/j.issn.1000-0887.2014.04.001
引用本文: 吴锋, 高强, 钟万勰. 刚-柔体动力学方程的保辛摄动迭代法[J]. 应用数学和力学, 2014, 35(4): 341-352. doi: 10.3879/j.issn.1000-0887.2014.04.001
WU Feng, GAO Qiang, ZHONG Wan-xie. Iterative Symplectic Perturbation Method for the Dynamic Analysis of Rigid-Flexible Bodies Equations[J]. Applied Mathematics and Mechanics, 2014, 35(4): 341-352. doi: 10.3879/j.issn.1000-0887.2014.04.001
Citation: WU Feng, GAO Qiang, ZHONG Wan-xie. Iterative Symplectic Perturbation Method for the Dynamic Analysis of Rigid-Flexible Bodies Equations[J]. Applied Mathematics and Mechanics, 2014, 35(4): 341-352. doi: 10.3879/j.issn.1000-0887.2014.04.001

刚-柔体动力学方程的保辛摄动迭代法

doi: 10.3879/j.issn.1000-0887.2014.04.001
基金项目: 国家重点基础研究发展计划(973计划)(2009CB918501)
详细信息
    作者简介:

    吴锋(1985—),男,江苏靖江人,博士生(E-mail: wufeng_chn@163.com)

  • 中图分类号: O313.7

Iterative Symplectic Perturbation Method for the Dynamic Analysis of Rigid-Flexible Bodies Equations

Funds: The National Basic Research Program of China (973 Program)(2009CB918501)
  • 摘要: 针对刚-柔体动力学方程,提出保辛摄动迭代算法.该方法把刚-柔体动力学方程的低频运动和高频振动分开处理,用保辛摄动的思想来处理低、高频耦合作用,从而可以采用较大时间步长进行数值积分,即可给出满意的数值结果,很好地解决了刚性积分问题.数值算例表明该方法是可行的.
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出版历程
  • 收稿日期:  2013-11-25
  • 刊出日期:  2014-04-15

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