区间桁架结构有限元分析的区间因子法  

INTERVAL FACTOR METHOD FOR FEM ANALYSIS OF TRUSSES WITH INTERVAL PARAMETERS

作　　者：高伟[1] 王芳林[1] 

机构地区：[1]西安电子科技大学机电工程学院

出　　处：《工程力学》2007年第6期123-127,共5页Engineering Mechanics

摘　　要：研究了具有区间参数的桁架结构在区间力作用下的有限元分析方法。利用区间因子法,桁架结构材料物理参数、几何尺寸和外荷载均可表达为其区间因子和其确定性量的乘积,进而结构的位移和应力响应也可表达成区间因子们的函数。利用区间算法,推导出了结构位移和应力响应的上、下限和均值的计算表达式。通过算例,分析了结构参数和外荷载的不确定性对结构响应的影响,并验证了模型和方法的合理性与可行性。该方法的优点是能够反映结构某一参数的不确定性对结构响应的影响。A finite element analysis method for truss structures with interval parameters under interval applied forces is investigated in this paper. By using interval factor method, the structural physical parameters and geometric dimensions can all be expressed as the products of two parts corresponding to the interval factors and the deterministic value. The structural displacement and stress response can be expressed as the functions of the interval factors. The computational expressions for the lower, upper bonds and mean value of structural displacement and stress response are developed using the interval operations. By an example, the effects of the uncertainty of the structural parameters and loads on the uncertainty of the structural static response were analyzed, and the model and the method presented in this paper are verified. The main advantage of the method is that the effect of uncertainty of any individual structural parameters on the structural static responses can be reflected.

关 键 词：区间参数 桁架结构 区间因子法 区间变量 有限元分析 

分 类 号：TB123[理学—工程力学] O327[理学—力学]