单源模糊数的模糊随机有限元方程的解法

基金项目: 国家自然科学基金资助项目(59678039)

A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers

Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P R China

摘要: 在工程实际情况下,有时候可以利用单源模糊数的运算法则,来减少模糊随机有限元方程的计算量.通过推导证明,其计算量仅相当于求解普通的随机有限元方程.为了更好地适应现代工程设计的需要,还提出用模糊随机有限元方程计算结果求结构模糊失效概率的近似方法.
- 模糊数 /
- 模糊随机有限元 /
- Edgeworth级数
Abstract: For some cases the rules of monosource fuzzy numbers can be used into the solution of fuzzy stochastic finite element equations in engineering.This method can reduce the computing quantity of the solution.It can be proved that the amount of the solution is nearly as much as that with the general stochastic finite element method(SFEM).In addition,a new method to appreciate the structural fuzzy failure probability is presented for the needs of the modern engineering design.
- fuzzy numbers /
- fuzzy stochastic finite element method(FSFEM) /
- Edgeworth series

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