Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 28, Issue 6, Pages 837-845Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-007-0614-4
Keywords
eigenvalue derivatives; eigenvector derivatives; sensitivity analysis; damped systems; repeated eigenvalues
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A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system.
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