Higher order eigensensitivity analysis of damped systems with repeated eigenvalues

A simplified method for the computation of first-, second- and higher-order derivatives of eigenvalues and eigenvectors associated with repeated eigenvalues is presented. Adjacent eigenvectors and orthonormal conditions are used to compose an algebraic equation. The algebraic equation which is developed can be used to compute derivatives of eigenvalues and eigenvectors simultaneously. Since the coefficient matrix in the proposed algebraic equation is non-singular, symmetric and based on N-space, it is numerically stable and very efficient compared to previous methods. To verify the efficiency of the proposed method, the finite element model of the cantilever beam and a mechanical system in the case of a non-proportionally damped system are considered. (C) 2003 Elsevier Ltd. All rights reserved.
Publisher
Pergamon-Elsevier Science Ltd
Issue Date
2004-01
Language
ENG
Keywords

MULTIPLE NATURAL FREQUENCIES; MODE SHAPE SENSITIVITIES; EIGENVECTOR DERIVATIVES; COMPUTATION; 2ND-ORDER

Citation

COMPUTERS & STRUCTURES, v.82, no.1, pp.63 - 69

ISSN
0045-7949
DOI
10.1016/j.compstruc.2003.08.001
URI
http://hdl.handle.net/10203/82882
Appears in Collection
CE-Journal Papers(저널논문)
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