不确定性桁架结构区间有限元分析的区间因子法

Interval Factor Method and Static Interval Finite Element Method

利用区间因子表征区间变量的不确定性,将区间变量表示为其均值和区间因子的乘积;根据区间运算规则,将区间分析与有限元方法相结合,提出了非概率不确定的结构的一种区间有限元分析的方法。构建了区间参数杆系结构在区间荷载作用下的分析模型,导出了结构的区间位移和区间应力响应区间变量表达式。通过算例考察了任一结构参数和荷载的不确定性对位移和应力的影响,获得了一些有意义的结论。

Uncertainties of the interval variables are represented by interval factors and interval variables are described as mean values multiplied by interval factors. From interval arithmetic, an analytical method of interval finite element of uncertain structure is presented by combining interval analysis with the finite element method. The finite element analysis of truss system with interval parameters under interval load is studied and the structural interval displacement and stress response are deduced. The effects of any one of uncertain structural parameters or load on the displacement and stress are examined by examples and some significant conclusions are obtained.