Abstract: Adequate data is necessary for probabilistic reliability model and fuzzy reliability model to analysis the new structure. To make up the gap by using the uncertain information of structures well, attempts are made to propose a new reliability model. The uncertain parameters of the structures are expressed as non-probabilistic interval variables. Then, the relation between tolerance and deviation of uncertain parameters of structures and its impact on the structural reliability are studied. Based on tolerance analysis, a non-probabilistic model for structural reliability is established. Furthermore, the character of the tolerance and the typical interference mode are analyzed according to the structural stress-strength interference model, and a new measure method of structural non-probabilistic reliability is proposed. A simple linear structure is taken as an example, the algorithm of non-probabilistic reliability is put forward and extended to the non-linear structures. Similarly, the algorithm for multiple linear structures is put forward and extended to the multiple non-linear structures. The presented model can be applied to any form of structural performance function, and is easy to use in engineering due to its convenient calculation, thereby providing quantitative basis for structural tolerance design and reliability analysis.

Key words: Reliability, Strength, Stress, Structures, Tolerance analysis