模糊桁架结构有限元分析的随机因子法

Random Factor Method of Finite Element Analysis for Fuzzy Truss Structures

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 ,并验证了本文模型和方法的合理性与可行性。本方法的优点是能够反映结构某一参数的模糊型对结构响应的影响。

The analysis methods of finite element for fuzzy truss structures under fuzzy loads action are developed. Based on the information entropy, the fuzzy variables are transferred into random variables, where the structural physical parameters and geometrical dimensions and applied loads are all considered as fuzzy variables. According to the random factor method (RFM), the computational expressions of the mean value and mean variance of the structural displacement response and stress response are deduced by algebra method. The influences of the fuzziness of the structural physical parameters and geometric dimensions and loads on the structural displacement and stress response are analyzed via some examples, and the rationality and feasibility of presented model and approach are validated, the advantage of the proposed method is that the influence of the fuzziness of each parameter on the structural response can be reflected.