基于信息熵模糊桁架结构有限元分析

Finite element analysis for fuzzy truss structures based on information entropy

研究模糊桁架结构在模糊力作用下的有限元分析方法.考虑桁架结构材料物理参数、几何尺寸和外荷载同时为模糊变量,利用信息熵将模糊变量转变为随机变量.基于随机因子法,利用代数综合法推导出结构位移和应力响应的均值、方差的计算表达式.通过算例,分析了结构物理参数、几何尺寸和外荷载的模糊性对结构位移和应力响应的影响.

The analysis methods of the finite element for fuzzy truss structures under fuzzy loads action are studied. Based on the information entropy, the fuzzy variables are transformed into random variables, in which the structural physical parameters and geometrical dimensions and applied loads are all considered as fuzzy variables. Based on the random factor method (RFM), the computational expressions for the mean value and mean variance of the structural displacement response and stress responses are developed by the algebra method. Through examples, the influences of the fuzziness of the structural physical parameters and geometric dimensions and loads on the structural displacement and stress responses are analyzed, and the rationality and feasibility of presented model and approach are validated.