Open Access
ARTICLE
Abstract
It is very difficult to know the exact boundaries of the variable domain for
problems with small sample size, and the traditional convex set model is no longer
applicable. In view of this, a novel reliability model was proposed on the basis of the
fuzzy convex set (FCS) model. This new reliability model can account for different
relations between the structural failure region and variable domain. Key computational
algorithms were studied in detail. First, the optimization strategy for robust reliability is
improved. Second, Monte Carlo algorithms (i.e., uniform sampling method) for
hyper-ellipsoidal convex sets were studied in detail, and errors in previous reports were
corrected. Finally, the Gauss-Legendre integral algorithm was used for calculation of the
integral reliability index. Three numerical examples are presented here to illustrate the
rationality and feasibility of the proposed model and its corresponding algorithms.
Keywords
Cite This Article
Sun, W., Yang, Z. (2020). A Comprehensive Model for Structural Non-Probabilistic Reliability and the Key Algorithms.
CMES-Computer Modeling in Engineering & Sciences, 123(1), 309–332.