Probabilistic and Non-probabilistic Synthetic Reliability Model of Structures

As an alternative to reliability analysis, the non-probabilistic model is an effective supplement when the interval information exists. We describe the uncertain parameters of the structures with interval variables, and establish a non-probabilistic reliability model of structures. Then, we analyze the relation between the typical interference mode and the reliability according to the structure stress-strength interference model, and propose a new measure of structure non-probabilistic reliability. Furthermore we describe other uncertain parameters with random variables when probabilistic information also exists. For the complex structures including both random variables and interval variables, we propose a probabilistic and non-probabilistic synthetic reliability model. The illustrative example shows that the presented model is feasible for structure reliability analysis and design.