Structure preserving eigenvalue embedding for undamped gyroscopic systems

This paper concerns the eigenvalue embedding problem of undamped gyroscopic systems. Based on a low-rank correction form, the approach moves the unwanted eigenvalues to desired values and the remaining large number eigenvalues and eigenvectors of the original system do not change. In addition, the s...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 38; no. 17-18; pp. 4333 - 4344
Main Authors Mao, Xiaobin, Dai, Hua
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2014
Subjects
Algorithms
Eigenvalue embedding
Eigenvalues
Eigenvectors
Embedded systems
Gyroscopic system
Gyroscopic systems
Mathematical models
Model updating
Stiffness matrices
Structure preserving
Eigenvalue embedding
Structure preserving
Gyroscopic system
Model updating
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Summary:This paper concerns the eigenvalue embedding problem of undamped gyroscopic systems. Based on a low-rank correction form, the approach moves the unwanted eigenvalues to desired values and the remaining large number eigenvalues and eigenvectors of the original system do not change. In addition, the symmetric structure of mass and stiffness matrices and the skew-symmetric structure of gyroscopic matrix are all preserved. By utilizing the freedom of the eigenvectors, an expression of parameterized solutions to the eigenvalue embedding problem is derived. Finally, a minimum modification algorithm is proposed to solve the eigenvalue embedding problem. Numerical examples are given to show the application of the proposed method.
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ISSN:0307-904X
DOI:10.1016/j.apm.2014.02.016