Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems

XIE Hui-qing; DAI Hua

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XIE Hui-qing, DAI Hua. Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems[J]. Applied Mathematics and Mechanics, 2007, 28(6): 749-756.

Citation:

XIE Hui-qing, DAI Hua. Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems[J]. Applied Mathematics and Mechanics, 2007, 28(6): 749-756.

Citation:

XIE Hui-qing, DAI Hua. Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems[J]. Applied Mathematics and Mechanics, 2007, 28(6): 749-756.

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Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems

XIE Hui-qing¹,
DAI Hua²

1.
College of Science, East China University of Science and Technology, Shanghai 200237, P. R. China;

Received Date: 2006-05-09
Rev Recd Date: 2007-03-29
Publish Date: 2007-06-15

Abstract

Abstract

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.
- eigenvalue derivatives,
- eigenvector derivatives,
- sensitivity analysis,
- damped systems,
- repeated eigenvalues

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References(11)

References

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