Abstract: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.