Sensitivity analysis based on Lanczos algorithm in structural dynamics

被引：0
|
作者：
Li Shu
Wang Bo
Hu Ji-zhong
机构：
[1] Institute of Aircraft Design,Beijing University of Aeronautics & Astronautics
来源：
Applied Mathematics and Mechanics | 2003年 / 24卷 / 1期
关键词：
structural dynamics; sensitivity analysis; finite element method; eigenvalues; eigenvectors; TU311.3; V214.33; 65F15; 74H35;
D O I：
10.1007/BF02439382
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：92 / 98
页数：6
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