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结构模糊有限元平衡方程的一种新解法*
引用本文:吕恩琳. 结构模糊有限元平衡方程的一种新解法*[J]. 应用数学和力学, 1997, 18(4): 361-366
作者姓名:吕恩琳
作者单位:重庆大学工程力学系, 重庆 630044
摘    要:
本文将区间数方程组解的定义与结构有限元平衡方程的力学意义结合起来,针对由于材料性能的模糊性、结构边界条件的模糊性和载荷的模糊性而得到的模糊有限元平衡方程组.提出了一种快速而准确的解法,其计算量与普通有限元法几乎相等.

关 键 词:有限元平衡方程   模糊数   区间数方程
收稿时间:1996-01-26

A New Solution to Structural Fuzzy Finite Element Equilibrium Equations (SFFEEE)
Lu Enling. A New Solution to Structural Fuzzy Finite Element Equilibrium Equations (SFFEEE)[J]. Applied Mathematics and Mechanics, 1997, 18(4): 361-366
Authors:Lu Enling
Affiliation:Departmnent of Engineering Mechanics, ChongqingUniversity, Chongqing 630044, P. R. China
Abstract:
A speedy accurate solution to structural fuzzy finite element equilibriumequations (SFFEEE), by combining the definition of the solution of intervalequations with the mechanical meaning of the structural finite element equilibrium equations (SFEEE),,was put forward. The fuzzification of the SFFEEE,which is discussed in this paper, originates from that of materical property,structural boundary conditions and external loading. The computing quantity ofthis solution is almost equal to that of the general finite element method(GFEM ).
Keywords:finite element equilibrium equatirions  fuzzy- numbers  interval squations
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