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阻尼系统重特征对导数的计算

解惠青 戴华

解惠青, 戴华. 阻尼系统重特征对导数的计算[J]. 应用数学和力学, 2007, 28(6): 749-756.
引用本文: 解惠青, 戴华. 阻尼系统重特征对导数的计算[J]. 应用数学和力学, 2007, 28(6): 749-756.
XIE Hui-qing, DAI Hua. Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems[J]. Applied Mathematics and Mechanics, 2007, 28(6): 749-756.
Citation: XIE Hui-qing, DAI Hua. Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems[J]. Applied Mathematics and Mechanics, 2007, 28(6): 749-756.

阻尼系统重特征对导数的计算

基金项目: 国家自然科学基金会数学天元基金资助项目(10626019)
详细信息
    作者简介:

    解惠青(1976- ),女,山西寿阳人,副教授,博士(联系人.Tel:+86-21-64253243;Fax:+86-21-64252018;E-mail:hqxie@ecust.edu.cn).

  • 中图分类号: O241.6;O325

Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems

  • 摘要: 提出了一种计算阻尼系统重特征值及其特征向量导数的方法.该方法利用n维空间的特征向量计算特征对的导数,避免了状态空间中特征向量的使用,从而节省了计算量,提高了计算效率.最后以一个5自由度的非比例阻尼系统对所提方法进行了数值试验,数值结果表明方法是有效的.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2006-05-09
  • 修回日期:  2007-03-29
  • 刊出日期:  2007-06-15

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