EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES

doi:10.6052/0459-1879-1994-1-1995-524

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Chinese Journal of Theoretical and Applied Mechanics > 1994 > 26(1): 81-89. > DOI: 10.6052/0459-1879-1994-1-1995-524 CSTR: 32045.14.0459-1879-1994-1-1995-524

EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(1): 81-89. DOI: 10.6052/0459-1879-1994-1-1995-524

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EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES

复旦大学应用力学系

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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.
- st ruc t ural dynamics,
- eigenvalue prob lem,
- non d efect ive matrk,
- eigenvec-tor derivative,
- sensitivity analysis

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EIGENVECTOR DERIVATIVES OF GENERALIZED NONDEFECTIVE EIGENPROBLEMS WITH REPEATED EIGENVALUES

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