| 模糊随机有限元平衡方程的摄动解法* |
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| 引用本文： | 吕恩琳.模糊随机有限元平衡方程的摄动解法*[J].应用数学和力学,1997,18(7):631-638. |
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| 作者姓名： | 吕恩琳 |
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| 作者单位： | 重庆大学工程力学系, 重庆 630044 |
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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.
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| 关 键 词： | 模糊随机有限元 区间数方程 摄动法 |
| 收稿时间： | 1996-05-20 |
Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE) |
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| La Enling.Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)[J].Applied Mathematics and Mechanics,1997,18(7):631-638. |
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| Authors: | La Enling |
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| Institution: | Chongqing University, Chongqing 630044, P. R. China |
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| 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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| Keywords: | fuzzy-stochastic finite element equations of interval numbers pertur-bation theory |
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