模糊随机有限元平衡方程的摄动解法*
Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)
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摘要: 对模糊随机有限元平衡方程作λ水平截集,得随机区间平衡方程,然后基于平衡方程中有关力学量之间的关系,将随机区间平衡方程转化为两类普通随机平衡方程求解,利用小参数摄动理论导得求随机区间位移的递归方程组.文中还详细推导了计算模糊随机位移、模糊随机应变和模糊随机应力数字特征的计算公式.Abstract: In this paper. the random interval equilibrium equations (RIEE) is obtained by λ-level cutting the fuzzy-stochastic finite element equilibrium equations (FSFEEE).Based on the relations between the variables of equilibrium equations, solvting RIEE istransformed into solving two kinds of general random equilibrium equaltions (GREE).Then the recursive equations of evaluaing the random interval displacement is derived from the Small-parameter perturbation theory. The computational formulae of statistical characteristic of the fuzzy random displacements, the fuzzy random strains and thefuzzy random stresses are also deduced in detail.
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[1] 陈虬、刘先斌,《随机有限无法及其工程应用》,西南交通大学出版社(1993),78-104. [2] 王彩华、朱恒山,基于L-R型模糊数运算法则为一种结构模糊方程的解法,第三届全国模糊分析设计学术会议论文集,中国建筑工业出版社(1993),35-38. [3] 王光远、欧进萍,在地震作用下结构的模糊随机振动,力学学报,20(2)(1988),173-180. [4] 张跃,模糊随机变量,哈尔滨建筑工程学院学报,22(3),(1989),12-21. [5] 张跃,模糊随机向量,哈尔滨建筑工程学院学报,22(4),(1989),27-41. [6] 吕恩琳.结构模糊有限元平衡方程的一种新鲜法,应用数学和力学,18(4) (1997),361-366. [7] D.Dubois,H.Prade,Fuzzy Sets and System;Theory and Applicatioas,Academic Press,New York (1980). -
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