有界不确定参数结构静力位移范围的区间参数摄动法

当结构参数具有误差或有界不确定性时，区间数学可以在不知道不确定变量的概率分布的民政部下定量地考察不确定参数对结构响应的影响。为计算有界不确定结构参数对结构静力位移影响范围的上下界，本文提出了区间参数摄动方法。本文法不仅可提高结构静力移界限的求解效率，而且所计算出的结构静力位移范围上下界的宽度比区间矩阵摄动方法所计算出的要小，数值结果说明所提出方法的有效性。

INTERVAL PARAMETER PERTURBATION METHOD FOR EVALUATING THE BOUNDS ON STATIC DISPLACEMENTS OF STRUCTURES WITH UNCERTAIN BUT BOUNDED PARAMETERS

For the structural parameters with errors or uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influences of errors or uncertainties in structural parameters on the response of structures. In order to calculate the region containing static displacements of structures with uncertain but bounded parameters, the interval parameter perturbation method is presented in this paper. The presented method not only calculates the width of region containing static displacements which is smaller than that of the interval matrix perturbation method, but also improves its computational efficiency. A numerical example illustrates the efficiency of the proposed method.