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力学学报  1994 

EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES
广义特征值问题中重特征值的特征向量导数

Keywords: st ruc t ural dynamics,eigenvalue prob lem,non d efect ive matrk,eigenvec-tor derivative,sensitivity analysis
结构动力学
,特征值,特征向量导数

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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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