非确定区间桁架结构静力分析的区间因子法  

Interval Factor Method for Interval Truss Uncertain Structural Static Analysis

作　　者：张秀国[1] 王芳林[1] 边峰泉[1] 

机构地区：[1]西安电子科技大学机电工程学院,陕西西安710071

出　　处：《现代机械》2007年第2期17-19,共3页Modern Machinery

摘　　要：工程中的不确定性问题目前可以通过概率方法、模糊方法和区间方法来解决。本文采取了新的区间分析方法(区间因子法)研究分析区间参数非确定性桁架结构的静力分析问题。利用区间因子法可以将结构的物理区间参数、几何变化尺寸等表达为其确定性量和区间因子的乘积,进而结构的位移和应力响应也就能表达为区间因子的函数。分析了算例中结构参数和外载荷的不确定性对结构响应的影响,并进行了对比和讨论,验证了本文方法的合理性与可行性。The uncertain problems in engineering can be solved by using probabilistic, fuzzy or interval method. This paper takes a new interval method （interval factor method） to study static analysis problem of interval truss uncertain structure. By using interval factor method , the structural physical interval parameters and geometric dimensions can be expressed as the product of two parts corresponding to the intervals and the deterministic value. Then, the structural displacement and stress response can be expressed as the functions of the interval factors. By an example, the effects of the uncertainty of the structural interval parameters and loads on the structural static response are analyzed, and it is verified that the proposed method is reasonable and feasible by contrastive analysis and discussion.

关 键 词：区间因子法 桁架结构 不确定性 静力分析 区间参数 

分 类 号：O324[理学—一般力学与力学基础]