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 efficiency, 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.
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Communicated by Suphen Hui-shen
Biography: Lupi Shu (1965−), Associate Professor, Doctor E-mail: Isbuaa@public.fhnet.cn.net
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Shu, L., Bo, W. & Ji-zhong, H. Sensitivity analysis based on Lanczos algorithm in structural dynamics. Appl Math Mech 24, 92–98 (2003). https://doi.org/10.1007/BF02439382
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DOI: https://doi.org/10.1007/BF02439382