DYNAMIC CHARACTERISTIC ANALYSIS OF FUZZY- STOCHASTIC TRUSS STRUCTURES BASED ON FUZZY FACTOR METHOD AND RANDOM FACTOR METHOD

• Published in: Applied mathematics and mechanics Vol. 27; no. 6; pp. 823 - 832
• Main Author: 马娟 陈建军 徐亚兰 江涛
• Format: Journal Article
• Language: English
• Published: School of Electromechanical Engineering, Xidian University, Xi'an 710071, P. R. China 01.06.2006
• Subjects: Dynamic characteristics; Fuzzy; Fuzzy logic; Fuzzy set theory; Mathematical analysis; Mathematical models; Randomness; Stochasticity; 动态分析; 桁结构; 模糊因数; 随机因数法; fuzzy stochastic truss; fuzzy factor method; fuzzyrandom dynamic characteristic; random factor method
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-006-0613-z

A new fuzzy stochastic finite element method based on the fuzzy factor method and random factor method is given and the analysis of structural dynamic characteristic for fuzzy stochastic truss structures is presented. Considering the fuzzy randomness of the structural physical parameters and geometric dimensions simultaneously, the structural stiffness and mass matrices axe constructed based on the fuzzy factor method and random factor method; from the Rayleigh＇s quotient of structural vibration, the structural fuzzy random dynamic characteristic is obtained by means of the interval arithmetic; the fuzzy numeric characteristics of dynamic characteristic axe then derived by using the random variable＇s moment function method and algebra synthesis method. Two examples axe used to illustrate the validity and rationality of the method given. The advantage of this method is that the effect of the fuzzy randomness of one of the structural parameters on the fuzzy randomness of the dynamic characteristic can be reflected expediently and objectively.