一种新的结构非概率可靠性分析方法

摘 要：为了有效处理试验数据欠缺情况下结构可靠性问题，提出了一种新的结构非概率可靠性分析方法。该方法考虑了结构非概率可靠性计算中非线性系统区间运算带来的不确定性，利用泛灰数代替参数不确定区间变量参与可靠性运算，成功克服了区间运算不确定对结构可靠性结果的影响。通过三个数值算例表明，当存在区间运算不确定时，文中方法得到结构非概率可靠度要小于基于区间的非概率可靠性模型得到的结果，这是由于后者未考虑区间运算的不确定所致。在缺少试验数据的情况下，文中所提方法可以得到较保守的结构可靠性结果，能够更加客观、真实地反映结构的实际安全状况，更加适于实际工程应用。

A new structural non-probabilistic reliability analysis method

Abstract: In order to handle the structural reliability problem with less test data effectively, a new structural non-probabilistic reliability method is proposed. In this method, the uncertainty of interval arithmetic structural non-probabilistic reliability calculation of nonlinear systems is taken into account, and then the universal grey numbers are used instead of the intervals parameters related to the structure to participate in the reliability calculation, which has overcome the impact of the interval arithmetic uncertainty on the reliability results. Through three numerical examples indicate that the proposed method has obtain smaller reliability results than the non-probabilistic reliability method based on interval when the interval arithmetic uncertainty existed, this is because the uncertainty of interval arithmetic is not considered in the latter method. The method proposed can obtain less conservative results. What’s more, it also can be more objectively and truly reflect the actual safety condition of the structure, and more suitable for engineering application.