SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (1): 92-98.

SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS

李书, 王波, 胡继忠

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

收稿日期:2001-01-13 修回日期:2002-08-10 出版日期:2003-01-18 发布日期:2003-01-18

SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS

LI Shu, WANG Bo, HU Ji-zhong

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

Received:2001-01-13 Revised:2002-08-10 Online:2003-01-18 Published:2003-01-18

摘要/Abstract

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.

中图分类号:

李书;王波;胡继忠. SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1): 92-98.

LI Shu;WANG Bo;HU Ji-zhong. SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1): 92-98.

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SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS

SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS

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