| 广义特征值问题中重特征值的特征向量导数 |
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| 引用本文： | 章永强,王文亮.广义特征值问题中重特征值的特征向量导数[J].力学学报,1994(1). |
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| 作者姓名： | 章永强 王文亮 |
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| 作者单位： | 复旦大学应用力学系 |
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| 摘 要： | 本文把重特征值的特征向量导数的计算方法，推广到非亏损矩阵的广义特征值问题，并给出了特征值导数也有重根时特征向量导数的计算式。本方法的优点是只需已知所考虑的重特征值的特征向量，因而计算量小，对于大型复杂结构更为适用。
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| 关 键 词： | 结构动力学，特征值问题，非亏损矩阵，特征向量导数，灵敏度分析 |
EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES |
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| Zhang Yongqiang,Wang wenliang.EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES[J].chinese journal of theoretical and applied mechanics,1994(1). |
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| Authors: | Zhang Yongqiang Wang wenliang |
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| Abstract: | This p ap er present s a met ho d for comput ation of t he eigenvalue andeigenvector derivat ives a8so c iated with repeat ed eigenvalues of the generalized nondefectiveeigenproblem,This met ho d requires the knowledge of only t hose eigenvectors to be dif-ferentiated.A complete set of formulations has been presented covering the case wheresome groups of repeated first eigenvalue derivatives occur.A numerical exaniple is given todemonstrate t he effect iveness of the prop osed met ho d. |
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| Keywords: | st ruc t ural dynamics eigenvalue prob lem non d efect ive matrk eigenvec-tor derivative sensitivity analysis |
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