An Improved Method for Computing Eigenpair Derivatives of Damped System. (21st February 2018)

• Record Type: Journal Article
• Authors: Wang, Pingxin; Wu, Jieer; Yang, Xibei
• Other Names: Lewandowski Roman Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-02-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/8050132
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.