Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse

2015 ◽  
Vol 96 (1) ◽  
pp. 201-210 ◽  
Author(s):  
Pingxin Wang ◽  
Hua Dai
Keyword(s):  
Generalized Inverse ◽  
Repeated Eigenvalues ◽  
Damped Systems

Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems

2007 ◽  
Vol 28 (6) ◽  
pp. 837-845 ◽  
Author(s):  
Hui-qing Xie ◽  
Hua Dai
Keyword(s):  
Repeated Eigenvalues ◽  
Damped Systems ◽  
Derivatives Of

Higher order eigensensitivity analysis of damped systems with repeated eigenvalues

2004 ◽  
Vol 82 (1) ◽  
pp. 63-69 ◽  
Author(s):  
Kang-Min Choi ◽  
Sang-Won Cho ◽  
Man-Gi Ko ◽  
In-Won Lee
Keyword(s):  
Higher Order ◽  
Repeated Eigenvalues ◽  
Damped Systems

Eigensensitivity analysis of damped systems with distinct and repeated eigenvalues

2013 ◽  
Vol 72 ◽  
pp. 21-34 ◽  
Author(s):  
Li Li ◽  
Yujin Hu ◽  
Xuelin Wang ◽  
Ling Ling
Keyword(s):  
Repeated Eigenvalues ◽  
Damped Systems

Eigenvector derivatives with repeated eigenvalues using generalized inverse technique

AIAA Journal ◽  
1996 ◽  
Vol 34 (10) ◽  
pp. 2206-2209 ◽  
Author(s):  
Fu-Shang Wei ◽  
De-Wen Zhang
Keyword(s):  
Generalized Inverse ◽  
Inverse Technique ◽  
Repeated Eigenvalues ◽  
Eigenvector Derivatives

scholarly journals An Improved Method for Computing Eigenpair Derivatives of Damped System

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Pingxin Wang ◽  
Jieer Wu ◽  
Xibei Yang
Keyword(s):  
Homogeneous Equation ◽  
Condition Numbers ◽  
Improved Method ◽  
Numerical Examples ◽  
Repeated Eigenvalues ◽  
Damped System ◽  
Particular Solution ◽  
Relative Errors ◽  
Damped Systems ◽  
Derivatives Of

The calculation of eigenpair derivatives plays an important role in vibroengineering. This paper presents an improved algorithm for the eigenvector derivative of the damped systems by dividing it into a particular solution and general solution of the corresponding homogeneous equation. Compared with the existing methods, the proposed algorithm can significantly reduce the condition number of the equation for particular solution. Therefore, the relative errors of the calculated solutions are notably cut down. The results on two numerical examples show that such strategy is effective in reducing the condition numbers for both distinct and repeated eigenvalues.

Nonbaseband residual flexibility method of component mode synthesis for proportionally damped systems

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 1285-1291
Author(s):  
Jeffrey A. Morgan ◽  
Christophe Pierre ◽  
Gregory M. Hulbert
Keyword(s):  
Component Mode Synthesis ◽  
Damped Systems

Inverse sensitivity method to self-adjoint systems with repeated eigenvalues

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 933-938
Author(s):  
H. W. Song ◽  
L. F. Chen ◽  
W. L. Wang
Keyword(s):  
Adjoint Systems ◽  
Repeated Eigenvalues ◽  
Sensitivity Method
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