Non-probabilistic set-based model for structural reliability

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.