The Analysis and Optimization of the Reliability of Laminates Based on Probabilistic and Non-Probabilistic Hybrid Model

The reliability analysis and optimization of laminates containing probabilistic uncertain variables and non-probabilistic bounded uncertain variables is conducted in the present paper. Convex method is utilized to deal with non-probabilistic bounded uncertain variables. The reliability index and index range of a four sides simply supported laminate are optimized for numerical examples. The results indicate that considering the non-probabilistic uncertainty variables can get more conservative results, and the larger the uncertainty range of non-probabilistic bounded uncertain variables is, the more conservative optimization result is.