Interval natural frequency and mode shape analysis for truss structures with interval parameters

被引：36

作者：

Gao, W ^{[1
]}

机构：

[1] Univ New S Wales, Sch Mech & Mfg Engn, Sydney, NSW 2052, Australia

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2006年 / 42卷 / 06期

关键词：

interval parameters; interval factor method; natural frequency; mode shape; truss structures;

D O I：

10.1016/j.finel.2005.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new method called the interval factor method (IFM) for the natural frequency and mode shape analysis of truss structures with interval parameters is presented in this paper. Using the IFM, the structural physical parameters and geometric dimensions can be considered as interval variables. The structural stiffness and mass matrices can then be, respectively, divided into the product of two parts corresponding to the interval factors and the deterministic matrix. The computational expressions for the lower and upper bound and interval change ratio of the natural frequency and mode shape are derived from Rayleigh quotient by means of the interval operations. The influences of the change of the structural parameters on the natural frequency and mode shape are demonstrated by using truss structures. (c) 2005 Elsevier B. V. All rights reserved.

引用

页码：471 / 477

页数：7

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