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An Improved Method for Computing Eigenpair Derivatives of Damped System
Joint Authors
Wang, Pingxin
Yang, Xibei
Wu, Jieer
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Pingxin& Wu, Jieer& Yang, Xibei. 2018. An Improved Method for Computing Eigenpair Derivatives of Damped System. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1209120
Modern Language Association (MLA)
Wang, Pingxin…[et al.]. An Improved Method for Computing Eigenpair Derivatives of Damped System. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1209120
American Medical Association (AMA)
Wang, Pingxin& Wu, Jieer& Yang, Xibei. An Improved Method for Computing Eigenpair Derivatives of Damped System. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1209120
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209120