Uncertainty static analysis of structures with hybrid spatial random and interval properties

A novel uncertainty static analysis of an engineering structure with hybrid random and interval system parameters is proposed in this paper. Unlike traditional static structure analysis with hybrid uncertainties, the spatial variability of the material parameters is taken into account. Within this approach, the random field theory rather than random variables is employed to model the spatial variability, and interval variables are adopted to quantify the non-probabilistic uncertainty associated with objective limited information. Moreover, the proposed method provides a non-sampling hybrid uncertainty analysis framework, in which the explicit formulations are effectively established to calculate the lower and upper bounds of the second-order statistical moments interval of the concern responses. Finally, numerical examples are analyzed to validate the feasibility and effectiveness of the proposed method, which is also utilized to highlight the influence on the structure responses caused by the random field introduced parameters.