| 基于Lanczos方法的结构动力学灵敏度分析 |
| |
| 引用本文： | 李书,王波,胡继忠.基于Lanczos方法的结构动力学灵敏度分析[J].应用数学和力学,2003,24(1):83-88. |
| |
| 作者姓名： | 李书 王波 胡继忠 |
| |
| 作者单位： | 北京航空航天大学, 飞机设计研究所, 北京, 100083 |
| |
| 摘 要： | 利用数学理论得到结构动力学重特征值的灵敏度表达式,从而解决了奇异性问题.然后,为降低计算工作量,基于Lanczos方法得到降阶的结构系统,从而得到降阶的灵敏度分析近似解.用一个算例证明的方法正确性.
|
| 关 键 词： | 结构动力学 灵敏度分析 有限元方法 特征值 特征向量 |
| 文章编号： | 1000-0887(2003)01-0083-06 |
| 收稿时间： | 2001-01-13 |
| 修稿时间： | 2001年1月13日 |
Sensitivity Analysis Based on Lanczos Algorithm in Structural Dynamics |
| |
| 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. |
| |
| Authors: | LI Shu WANG Bo HU Ji_zhong |
| |
| Institution: | Institute of Aircraft Design, Beijing University of Aeronautics & Astronautics, Beijing 100083, China |
| |
| 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. |
| |
| Keywords: | structural dynamics sensitivity analysis finite element method eigenvalues eigenvectors |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
