针对概率可靠性模型和模糊可靠性模型关于原始数据要求高的局限性,将影响结构可靠性的不确定性信息用区间集合来描述,提出了一种新的结构可靠性分析的非概率集合模型.以建立的结构应力-强度非概率集合干涉模型为基础,用结构安全域的体积与基本区间变量域的总体积之比作为结构非概率集合可靠性的度量。相对于前人的研究结果具有更加明确的意义,并证明了它与概率可靠性度量的相容性.
Due to the limitations of the original data for a probabilistic reliability model and the fuzzy reliability model,a new non-probabilistic set-based model for structural reliability analysis is proposed,with the uncertain information in structural reliability being described as interval set.Based on the non-probabilistic set-based stress-strength interference model established in this paper,the ratio of the volume of safe region to the total volume of the region constructed by the basic interval variables is taken as the measure of structural non-probabilistic reliability.This kind of measure has a clearer meaning than the allowable maximum amount of uncertainty before structure failure proposed by Ben-Haim and the minimum distance from the origin to the failure plane proposed by Guo.Furthermore,the compatibility of measures between the presented non- probability set-based reliability model and the probabilistic reliability model is proved.