NATURAL FREQUENCIES OF STRUCTURES WITH UNCERTAIN BUT NONRANDOM PARAMETERS

被引：89

作者：

QIU, ZP ^{[1
]}

CHEN, SH

ELISHAKOFF, I

机构：

[1] JILIN UNIV TECHNOL,CTR COMP MECH,CHANGCHUN,PEOPLES R CHINA

[2] FLORIDA ATLANTIC UNIV,DEPT MECH ENGN,BOCA RATON,FL 33431

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1995年 / 86卷 / 03期

关键词：

EIGENVALUE PROBLEMS; ELASTIC STRUCTURES; UNCERTAINTY MODELING; INTERVAL MATHEMATICS;

D O I：

10.1007/BF02192164

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we present a method for computing upper and lower bounds of the natural frequencies of a structure with parameters which are unknown, except for the fact that they belong to given intervals. These parameters are uncertain, yet they are not treated as being random, since no information is available on their probabilistic characteristics. The set of possible states of the system is described by interval matrices. By solving the generalized interval eigenvalue problem, the bounds on the natural frequencies of the structure with interval parameters are evaluated. Numerical results show that the proposed method is extremely effective.

引用

页码：669 / 683

页数：15

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