区间参数结构系统静力响应的求解

SOLVING THE SET OF STATIC RESPONSES FOR STRUCTURAL SYSTEMS WITH INTERVAL PARAMETERS

如果结构系统的参数和载荷是不确定的,则结构系统的静态和动态响应也将是不确定的。本文讨论了线性结构系统具有区间不确定性问题即区间线性方程组的求解问题。将区间分析中的区间函数扩张与矩阵摄动法相结合,给出了具有区间参数结构系统的静力响应的摄动算法。本算法具有计算量小,而且很容易在计算机上实现等优点,数学论证以及数值计算的结果表明,本文所提出的方法是行之有效的。

When linear structural systems involve parameter and load uncertainties, its static response will become uncertain. In the present pater, we only deal with interval linear equations problem. The extension of interval mathematics is applied to the matrix perturbation formulae of linear equations, the perturbation method is obtained for computing the interval displacement cf interval linear equations. The advantage of the method is that it is easy to make programme in computer and it has little computational effort. The accuracy of the proposed technique is investigated by means of analytical and numerical examples