基于广义超椭球模型的结构非概率可靠性指标OA北大核心CSTPCD

The non-probabilistic convex model only requires the bounds or domains of structural uncertain pa-rameters to measure structural reliability,and therefore is more appropriate for engineering structures with lim-ited experimental data.The problem of non-probabilistic reliability measurement of the generalized super ellip-soid model was studied.A simple non-probabilistic reliability index was first proposed to evaluate the safety de-gree of a structure,which was defined as the ratio of the mean value of the performance function to its devia-tion.The inconsistency problem in the simple non-probabilistic reliability index was further discussed.To over-come the above inconsistency problem,a ratio factor reliability index was then presented,which was defined as the minimum ratio factor at which the failure surface is in contact with the uncertainty domain contracting in-ward or expanding outward.Three numerical examples demonstrate the validity and feasibility of the proposed non-probabilistic reliability indexes.