Eigensensitivity of damped system with defective multiple eigenvalues

Journal of Vibroengineering

Xibei Yang¹  Pingxin Wang² 

[1] School of Computer Science and Engineering, Jiangsu University of Science and Technology,Zhenjiang, Jiangsu 212003, China;School of Mathematics and Physics, Jiangsu University of Science and Technology,Zhenjiang, Jiangsu 212003, China;

关键词: sensitivity analysis;    generalized eigenvalue problem;    defective eigenvalues;    quadratic eigenvalue problem;   

DOI  :  10.21595/jve.2016.15791

来源: DOAJ

【 摘 要 】

This paper considers the sensitivity of defective multiple eigenvalues of reducible matrix pencil, the average of eigenvalues is proved to be analytic, the derivatives of the average eigenvalues and the corresponding eigenvector matrices are obtained when the generalized eigenvalue is reducible. The sensitivity of defective multiple eigenvalues of a quadratic eigenvalue problem dependent on several parameters are also obtained by the result of generalized eigenvalue problem. The results are useful for investigating structural optimal design, model updating and structural damage detection.

【 授权许可】

Unknown