SENSITIVITY ANALYSIS BASED ON LANCZOS ALGORITHM IN STRUCTURAL DYNAMICS  

作　　者：李书 王波 胡继忠 

机构地区：[1]Institute of Aircraft Design, Beijing University of Aeronautics & Astronautics,Beijing 100083, China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第1期92-98,共7页应用数学和力学（英文版）

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.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.

关 键 词：structural dynamics sensitivity analysis finite element method EIGENVALUES EIGENVECTORS 

分 类 号：O327[理学—一般力学与力学基础]