Method for static response interval of structures and engineering applications
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摘要: 针对实际工程中广泛存在的物理或几何上的不确定性,提出一种有界不确定性结构静力响应上下确界的有效计算方法,将线形区间方程组转化为两个标准的线性规划问题求解,并给出数学证明.编写与大型有限元软件ANSYS的接口程序和区间运算程序,使区间运算方法和工程有限元软件结合并推广到实际工程领域.以某大跨钢结构建筑为例,对其静力响应区间进行估计.结果表明,该方法可给出与Deif方法一致的精确结果且计算量较之Deif方法大幅降低.基于此算法对ANSYS进行二次开发的接口程序和区间运算程序,可直接用于含有界不确定性参数的实际工程问题中.Abstract: Aimed at physical and geometrical uncertainties broadly existed in practical engineering, an effective method for the supremum and infimum of the static response of structures with bounded uncertainties was presented. The linear interval equations were changed into two standard linear programming problems, and the mathematical proof was given. By the interface program with the finite element analysis(FEA) software ANSYS and the interval computation program, the method was extended to the practical engineering area. The static response intervals were estimated by taken example for a long-span steel framing building. The results show that this method can not only give the result as exact as the traditional Deif-s method, but also have the less calculation times. The interface program with the FEA software ANSYS and the interval computational program can be used for solving the problems of practical engineering structures, directly.
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Key words:
- uncertain system /
- interval analysis /
- static response /
- uncertain-but-bounded /
- Deif-s method
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