Non-probabilistic Eigenvalue problem for structures with uncertain parameters via interval analysis

被引：23

作者：

Qiu, ZP

Chen, SH

Elishakoff, I

机构：

[1] JILIN UNIV TECHNOL,CTR COMPUTAT MECH,CHANGCHUN 130022,PEOPLES R CHINA

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

来源：

CHAOS SOLITONS & FRACTALS | 1996年 / 7卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0960-0779(95)00087-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a method for computing upper and lower bounds of natural frequencies of the structures with uncertain parameters. These parameters are unknown except for the fact that they belong to given bounded sets. The set of possible system states can be described by interval matrices. By solving the interval matrix problem,we obtain the bounds on frequencies of the structure. The numerical results demonstrates the efficacy of the method.

引用

页码：303 / 308

页数：6

共 10 条

[1]

BENHAIM Y, 1986, 25TH IEEE C DEC CONT, P1570

[2]

BENHAIM Y, 1989, ASME AMD, V105, P89

[3] A NECESSARY AND SUFFICIENT CONDITION FOR THE STABILITY OF INTERVAL MATRICES [J].