A parallel way for computing eigenvector sensitivity of asymmetric damped systems with distinct and repeated eigenvalues

2012 ◽  
Vol 30 ◽  
pp. 61-77 ◽  
Author(s):  
Li Li ◽  
Yujin Hu ◽  
Xuelin Wang
Keyword(s):  
Repeated Eigenvalues ◽  
Damped Systems

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

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

Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

2021 ◽  
pp. 1-16
Author(s):  
Alexander Dabrowski
Keyword(s):  
General Type ◽  
Differential Operators ◽  
Laplacian Operator ◽  
Variational Characterization ◽  
Repeated Eigenvalues ◽  
Direct Extension ◽  
Asymptotic Formulae ◽  
Elliptic Differential Operators ◽  
Domain Perturbations ◽  
Boundary Deformation

A variational characterization for the shift of eigenvalues caused by a general type of perturbation is derived for second order self-adjoint elliptic differential operators. This result allows the direct extension of asymptotic formulae from simple eigenvalues to repeated ones. Some examples of particular interest are presented theoretically and numerically for the Laplacian operator for the following domain perturbations: excision of a small hole, local change of conductivity, small boundary deformation.

Modal sensitivities for repeated eigenvalues and eigenvalue derivatives

AIAA Journal ◽  
1992 ◽  
Vol 30 (3) ◽  
pp. 850-852 ◽  
Author(s):  
Jinsiang Shaw ◽  
Suhada Jayasuriya
Keyword(s):  
Repeated Eigenvalues ◽  
Eigenvalue Derivatives
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