LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.
 Citation: LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.

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

• Rev Recd Date: 2000-05-25
• Publish Date: 2000-11-15
• 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.
•  [1] Isaac Elishakoff.Three versions of the finite element method based on concepts of either stochasticity,fuzziness,or anti-optimization[J].Appl Mech Rev,1998,51(3):209-218. [2] 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. [3] 禹智涛,吕恩琳,王彩华.结构模糊有限元平衡方程的一种解法[J].重庆大学学报,1996,19(1):53-58. [4] 王柏生.单源模糊数及运算[J].模糊系统与数学,1998,12(2):49-53. [5] 南宫自军,汪亮,张择.结构可靠度计算的一种新方法[J].西北工业大学学报,1998,16(4):599-602. [6] 王光选,王文泉.抗震结构的模糊可靠性分析[J].力学学报,1986,18(5):448 455. [7] 扬松林.工程模糊论方法及其应用[M].北京:国防工业出版社,1996. [8] 陈轧,刘先斌.随机有限元法及其工程应用[M].成都:西南交通大学出版社,1993. [9] 周则恭,等.概率断裂力学在压力容器中的应用[M].北京:中国石化出版社,1996.

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