雷震宇, 陈虬. 模糊结构有限元分析的一种新方法[J]. 工程力学, 2001, 18(6): 47-53.
引用本文: 雷震宇, 陈虬. 模糊结构有限元分析的一种新方法[J]. 工程力学, 2001, 18(6): 47-53.
LEI Zhen-yu, CHEN Qiu. A NEW FINITE ELEMENT ANALYSIS METHOD FOR FUZZY STRUCTURES[J]. Engineering Mechanics, 2001, 18(6): 47-53.
Citation: LEI Zhen-yu, CHEN Qiu. A NEW FINITE ELEMENT ANALYSIS METHOD FOR FUZZY STRUCTURES[J]. Engineering Mechanics, 2001, 18(6): 47-53.

模糊结构有限元分析的一种新方法

A NEW FINITE ELEMENT ANALYSIS METHOD FOR FUZZY STRUCTURES

  • 摘要: 本文利用信息熵的概念,将模糊变量转变为随机变量,将模糊结构视为随机结构进行处理,从而提出了模糊结构有限元分析的一种新方法。当模糊结构转换的随机变量处于小扰动情况下,利用摄动法得到有限元递归方程组,解之可以得到响应量的均值和方差。

     

    Abstract: In this paper, a new finite element analysis method for fuzzy structures is proposed based on the information entropy concept. With this method, the fuzzy variables can be transferred into random variables so that the fuzzy structures can be treated as random structures. When the random variables transferred from fuzzy structures are small, the perturbation finite element method can be used to obtain the mean values and the variances of the structural responses.

     

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