Efficient Computational Method for the Non-Probabilistic Reliability of Linear Structural Systems

The non-probabilistic reliability in higher dimensional situations cannot be calculated efficiently using traditional methods, which either require a large amount of calculation or cause significant error. In this study, an efficient computational method is proposed for the calculation of non-probabilistic reliability based on the volume ratio theory, specifically for linear structural systems. The common expression for non-probabilistic reliability is obtained through formula derivation with the amount of computation considerably reduced. The compatibility between non-probabilistic and probabilistic safety measures is demonstrated through the Monte Carlo simulation. The high efficiency of the presented method is verified by several numerical examples.