Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems

被引：12

作者：

Xie Hui-qing ^{[1
]}

Dai Hua

机构：

[1] E China Univ Sci & Technol, Coll Sci, Shanghai 200237, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 06期

关键词：

eigenvalue derivatives; eigenvector derivatives; sensitivity analysis; damped systems; repeated eigenvalues;

D O I：

10.1007/s10483-007-0614-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system.

引用

页码：837 / 845

页数：9

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