The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation

被引：23
|
作者：
Ma, Juan [1 ]
Gao, Wei [2 ]
Wriggers, Peter [3 ]
Wu, Tao [3 ]
Sahraee, Shahab [3 ]
机构：
[1] Xidian Univ, Sch Electromech Engn, Xian 710071, Peoples R China
[2] Univ New S Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia
[3] Leibniz Univ Hannover, Fac Mech Engn, D-30167 Hannover, Germany
来源：
COMPUTATIONAL MECHANICS | 2010年 / 45卷 / 05期
基金：
澳大利亚研究理事会;
关键词：
Two-factor method; Fuzzy-random truss systems; Stationary stochastic excitation; Dynamic response; Fuzzy-random dynamic reliability; Fuzzy numerical characteristics; EARTHQUAKE;
D O I：
10.1007/s00466-009-0463-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new two-factor method based on the probability and the fuzzy sets theory is used for the analyses of the dynamic response and reliability of fuzzy-random truss systems under the stationary stochastic excitation. Considering the fuzzy-randomness of the structural physical parameters and geometric dimensions simultaneously, the fuzzy-random correlation function matrix of structural displacement response in time domain and the fuzzy-random mean square values of structural dynamic response in frequency domain are developed by using the two-factor method, and the fuzzy numerical characteristics of dynamic responses are then derived. Based on numerical characteristics of structural fuzzy-random dynamic responses, the structural fuzzy-random dynamic reliability and its fuzzy numerical characteristic are obtained from the Poisson equation. The effects of the uncertainty of the structural parameters on structural dynamic response and reliability are illustrated via two engineering examples and some important conclusions are obtained.
引用
收藏
页码：443 / 455
页数：13
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