A reliability approach based on non-probabilistic theory for structures with hybrid uncertainties

Investigation on mixed structures with hybrid uncertainties was based on the reliability analysis of uncertain structures of the distribution parameters of input variables that acted as the interval model. Considering the available information was quite scanty, the uncertain distribution parameters were treated as the interval model. The reliability analysis model for this hybrid uncertainty was established by separating the distribution parameters from their random variables through using equivalent probability transformation method. Based on the non-probabilistic reliability theory, a high efficient solution method was proposed by successively constructing the limit state function of the proposed hybrid uncertain analytic model in two levels and combing the Kriging surrogate model. The proposed hybrid uncertain analytic model is employed to analyze aircraft structures with hybrid uncertainties, which can demonstrate the rationality of the proposed model and the efficiency and accuracy of the solution model.