PERTURBATION METHOD FOR COMPUTING EIGENVALUE BOUNDS IN STRUCTURAL VIBRATION SYSTEMS WITH INTERVAL PARAMETERS

被引:27
作者
CHEN, SH [1 ]
QIU, ZP [1 ]
LIU, ZH [1 ]
机构
[1] CHINESE ACAD SCI,CAD CAM,OPEN LAB,BEIJING,PEOPLES R CHINA
来源
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1994年 / 10卷 / 02期
关键词
Structural vibrations - Uncertainties;
D O I
10.1002/cnm.1640100204
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this study a perturbation method for computing the upper and lower bounds of eigenvalues of structural vibration systems with interval parameters is presented. The eigenproblem of the uncertain (interval) structure is expressed by equations consisting of the uncertainties. If the uncertainty is small in parameters, the eigensolutions of uncertain structures can be obtained efficiently by the perturbation method presented. A numerical example is given to demonstrate the validity of the method.
引用
收藏
页码:121 / 134
页数:14
相关论文
共 16 条
[1]  
ALEFED G, 1983, INTRO INTERVAL COMPU
[2]  
Ben-Haim Y., 1990, CONVEX MODELS UNCERT
[3]  
BERY HEL, 1992, ASME J, V58, P1092
[4]  
CHEN SH, 1992, VIBRATION THEORY STR, P24
[5]  
DEIF A, 1991, ADV MATRIX THEORY SC, P274
[6]  
DEIF A, 1986, SENSITIVITY ANAL LIN, P44
[7]  
FRANKLIN N, 1968, MATRIX THEORY, P141
[8]   VIBRATION OF SOME STRUCTURES WITH PERIODIC RANDOM PARAMETERS [J].
HUANG, WH .
AIAA JOURNAL, 1982, 20 (07) :1001-1008
[9]  
LIN HW, 1984, LINEAR ALGEBRA SYSTE, P155
[10]  
MOORE R, 1979, SIAM PUB PHILADELPHI