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多参数结构特征二阶灵敏度

陈塑寰 郭睿 孟广伟

陈塑寰, 郭睿, 孟广伟. 多参数结构特征二阶灵敏度[J]. 应用数学和力学, 2009, 30(12): 1387-1398. doi: 10.3879/j.issn.1000-0887.2009.12.001
引用本文: 陈塑寰, 郭睿, 孟广伟. 多参数结构特征二阶灵敏度[J]. 应用数学和力学, 2009, 30(12): 1387-1398. doi: 10.3879/j.issn.1000-0887.2009.12.001
CHEN Su-huan, GUO Rui, MENG Guang-wei. Second-Order Sensitivity of Eigenpairs of Multiple Parameter Structures[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1387-1398. doi: 10.3879/j.issn.1000-0887.2009.12.001
Citation: CHEN Su-huan, GUO Rui, MENG Guang-wei. Second-Order Sensitivity of Eigenpairs of Multiple Parameter Structures[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1387-1398. doi: 10.3879/j.issn.1000-0887.2009.12.001

多参数结构特征二阶灵敏度

doi: 10.3879/j.issn.1000-0887.2009.12.001
基金项目: 吉林省科学技术发展基金资助项目(20070541)
详细信息
    作者简介:

    陈塑寰(1934- ),男,广东兴宁人,教授(E-mail:chensh@jlu.edu.cn);郭睿(1978- ),女,吉林人,讲师,博士(联系人.Tel:+86-431-8505090;E-mail:guo.rui@ascl.jlu.edu.cn).

  • 中图分类号: O327

Second-Order Sensitivity of Eigenpairs of Multiple Parameter Structures

  • 摘要: 提出了一种有效计算多参数结构特征值与特征向量二阶灵敏度矩阵——Hessian矩阵的方法.将特征值和特征向量二阶摄动法转变为多参数形式,推导出二阶摄动灵敏度矩阵,由此得到特征值和特征向量的二阶估计式.该法解决了无法用直接求导法计算特征值和特征向量二阶灵敏度矩阵的问题.数值算例说明了该算法的应用和计算精度.
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出版历程
  • 收稿日期:  2009-02-17
  • 修回日期:  2009-10-15
  • 刊出日期:  2009-12-15

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