摘要
根据模糊数的区间形式表达和区间运算的性质 ,给出了模糊数和模糊变量的运算规则· 据此并依据区间有限元理论 ,提出了结构模糊有限元静力控制方程的几种求解方法· 方法可根据输入模糊数的隶属函数 ,给出结构响应量的可能性分布· 且计算量小 。
The key component of finite element analysis of structures with fuzzy parameters, which is associated with handling of some fuzzy information and arithmetic relation of fuzzy variables, was the solving of the governing equations of fuzzy finite element method. Based on a given interval representation of fuzzy numbers, some arithmetic rules of fuzzy numbers and fuzzy variables were developed in terms of the properties of interval arithmetic. According to the rules and by the theory of interval finite element method, procedures for solving the static governing equations of fuzzy finite element method of structures were presented. By the proposed procedure, the possibility distributions of responses of fuzzy structures can be generated in terms of the membership functions of the input fuzzy numbers. It is shown by a numerical example that the computational burden of the presented procedures in low and easy to implement. The effectiveness and usefulness of the presented procedures are also illustrated.
出处
《应用数学和力学》
CSCD
北大核心
2002年第9期936-942,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (5 95 75 0 4 0
5 9775 0 32 )
航空基金资助项目 (0 0B5 30 10 )
关键词
模糊运算
模糊变量
模糊有限元
区间有限元
fuzzy variable
fuzzy arithmetic
fuzzy finite elemnt method
interval finite element method
