[1]宋海平,周传荣.特征向量灵敏度分析的快速级数展开法[J].东南大学学报(自然科学版),2000,30(3):88-91.[doi:10.3969/j.issn.1001-0505.2000.03.019]
 Song Haiping,Zhou Chuanrong.Rapid Series Expansion Method for Calculating Eigenvector Sensitivity[J].Journal of Southeast University (Natural Science Edition),2000,30(3):88-91.[doi:10.3969/j.issn.1001-0505.2000.03.019]
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特征向量灵敏度分析的快速级数展开法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
30
期数:
2000年第3期
页码:
88-91
栏目:
数学、物理学、力学
出版日期:
2000-05-20

文章信息/Info

Title:
Rapid Series Expansion Method for Calculating Eigenvector Sensitivity
作者:
宋海平 周传荣
南京航空航天大学, 南京 210016
Author(s):
Song Haiping Zhou Chuanrong
Nanjing University of Aeronautics and Astronautics, Nanjing 210016
关键词:
特征向量 灵敏度 Neumann级数
Keywords:
eigenvector sensitivity Neumann series
分类号:
TB122
DOI:
10.3969/j.issn.1001-0505.2000.03.019
摘要:
根据特征向量灵敏度分析的模态法,研究出计算特征向量灵敏度的快速级数展开法.该方法是用Neumann矩阵级数的形式来等效未知模态对特征向量灵敏度的贡献,并引入特征值移位量来控制矩阵级数的收敛性,从而明显地提高了计算效率.算例表明本文方法对已知少数前几阶模态的复杂结构,仅取级数的前3项就能获得高精度的特征向量灵敏度.
Abstract:
A rapid series expansion method for computing structural eigenvector sensitivity is proposed in accordance with the modal expansion method. The contribution of the truncated modes to eigenvector sensitivity is expressed in a Neumann series of matrix in this method, and eigenvalue’s displacement is introduced to control the convergence of the series. A numerical example shows the validity of the method.

参考文献/References:

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[8] 宋海平,周传荣.计算特征向量灵敏度的Neumann级数展开法.振动工程学报,2000,13(1):89~93

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备注/Memo

备注/Memo:
第一作者:男, 1964年生,博士,副研究员.
更新日期/Last Update: 2000-05-20