# [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] 点击复制 特征向量灵敏度分析的快速级数展开法() 分享到： var jiathis_config = { data_track_clickback: true };

30

2000年第3期

88-91

2000-05-20

## 文章信息/Info

Title:
Rapid Series Expansion Method for Calculating Eigenvector Sensitivity

Author(s):
Nanjing University of Aeronautics and Astronautics, Nanjing 210016

Keywords:

TB122
DOI:
10.3969/j.issn.1001-0505.2000.03.019

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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[3] Wang B P.Improved approximate methods for computing of eigenvector derivative in structural dynamics.AIAA J,1991,29(6):1018～1020
[4] Sutter T R.Comparison of several methods for calculating vibration mode shape derivatives.AIAA J,1988,26(12):1506～1511
[5] Zeng Q H.Hightly accurate modal method for calculating eigenvectors in viscous damping systems.AIAA J,1995,33(4):746～751
[6] Zhang O Q,Zerva A.Iterative method for calculating derivatives of eigenvectors.AIAA J,1996,34(5):1088～1090
[7] 威尔金森.代数特征值问题.北京:科学出版社,1990.59～60
[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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