吉林大学学报(工学版) ›› 2000, Vol. ›› Issue (2): 56-61.

Previous Articles     Next Articles

Perturbed Algorithm for Generalized Eigensolutions of Defective System

XU Tao, CHEN Su-huan, ZHANG XU-li   

  1. College of Sciences, Jilin University of Technology, Changchun130025 China
  • Received:1999-10-13 Online:2000-04-25

PDF (PC)

240

Abstract: The generalized eigenproblem of defective system for linear vibration is considered. With Puiseux expansion of the perturbed eigensolutions, a set of numerical formulae for computing the perturbed eigenvalues and corresponding engenvectors are presented. These formulae are easy to do on computers. According to m multiplicity of defective system, the approximation of the numerical solutions may be higher than order O (ε1/m) with ε(small parameter).

Key words: defective systems, generalized modes, matrix perturbation, Puiseux expansion

CLC Number: 

  • O432
[1] 时国勤,诸德超线性振动亏损系统的广义模态理论［J］.力学学报,1989, 21:181-191.
[2] 陈塑寰.结构振动分析的矩阵摄动理论［M］.重庆:重庆出版社,1991.
[3] 胡海昌.多自由度固有振动理论［M］. 北京:科学出版社,1987.
[4] 陈塑寰,徐涛,韩万芝.线性振动亏损系统的矩阵摄动理论［J］力学学报,1992, 24(6):747-753. 61.
[5] Xu Tao, Chen Suhuan, Liu Zhongsheng. Perturbation sensitivity of generaiized modes of defective systems［J］. Computers & Structures,1994, 52(2):179-185.
[6] 徐涛,陈塑寰,赵建华.接近亏损系统的矩阵摄动法［J］.力学学报,1998, 30(4):503-507.
[7] Leung A Y T. Peturbed general eigensolutions［J］. Communications in Applied Numerical Methods,1990, 6:401-409.
[1] ZHAO Shi-jia, XU Tao, CHEN Wei, TAN Li-hui. Efficient approach for modal sensitivity analysis for near defective systems [J]. 吉林大学学报(工学版), 2013, 43(增刊1): 497-499.
[2] Wu Xiaoming, Chen Suhuan，Huang Zhidong. Epsilonalgorithm in design analysis of chassis structures [J]. 吉林大学学报(工学版), 2006, 36(增刊1): 8-0011.
[3] Wang Shipeng, Chen Suhuan. Upper and lower bounds of eigenvalues of uncertain closedloop systems with secondorder perturbation [J]. 吉林大学学报(工学版), 2006, 36(增刊1): 56-0061.
[4] Wu Xiao-ming, Chen Su-huan. Applications of Epsilonalgorithm in eigensolution reanalysis of structures [J]. 吉林大学学报(工学版), 2006, 36(04): 447-450.
[5] XU Tao, CHEN Su-huan, YANG Guang. Perturbation Sensitivity of Near Defective Systems [J]. 吉林大学学报(工学版), 2000, (3): 65-67.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd