Sensitivity Analysis Based on Lanczos Algorithm in Structural Dynamics

LI Shu; WANG Bo; HU Ji-zhong

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LI Shu, WANG Bo, HU Ji-zhong. Sensitivity Analysis Based on Lanczos Algorithm in Structural Dynamics[J]. Applied Mathematics and Mechanics, 2003, 24(1): 83-88.

Citation:

LI Shu, WANG Bo, HU Ji-zhong. Sensitivity Analysis Based on Lanczos Algorithm in Structural Dynamics[J]. Applied Mathematics and Mechanics, 2003, 24(1): 83-88.

Citation:

LI Shu, WANG Bo, HU Ji-zhong. Sensitivity Analysis Based on Lanczos Algorithm in Structural Dynamics[J]. Applied Mathematics and Mechanics, 2003, 24(1): 83-88.

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Sensitivity Analysis Based on Lanczos Algorithm in Structural Dynamics

Institute of Aircraft Design, Beijing University of Aeronautics & Astronautics, Beijing 100083, China

Received Date: 2001-01-13
Rev Recd Date: 2002-08-10
Publish Date: 2003-01-15

Abstract

Abstract

The sensitivity calculating formulas in structural dynamics was developed by utilizing the mathematical theorem and new definitions of sensitivities. So the singularity problem of sensitivity with repeated eigenvalues is solved completely. To improve the computational efficient, the reduction system is obtained based on Lanczos vectors. After incorporating the mathematical theory with the Lanczos algorithm, the approximate sensitivity solution can be obtained. A numerical example is presented to illustrate the performance of the method.
- structural dynamics,
- sensitivity analysis,
- finite element method,
- eigenvalues,
- eigenvectors

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References(15)

References

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