Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems  

作　　者：解惠青 戴华 

机构地区：[1]College of Science,East China University of Science and Technology,Shanghai 200237,P. R. China [2]College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第6期837-845,共9页应用数学和力学（英文版）

基　　金：Project supported by the Mathematical Tianyuan Foundation of China (No. 10626019)

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.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.

关 键 词：eigenvalue derivatives eigenvector derivatives sensitivity analysis damped systems repeated eigenvalues 

分 类 号：O325[理学—一般力学与力学基础]