Abstract
In practical engineering, it is a cost-consuming problem to consider the time-variant reliability of both random variables and interval variables, which usually requires a lot of calculation. Therefore, a time-variant reliability analysis approach with hybrid uncertain variables is proposed in this paper. In the design period, the stochastic process is discretized into random variables. Simultaneously, the original random variables and the discrete random variables are converted into independent normal variables, and the interval variables are changed into standard variables. Then it is transformed into a hybrid reliability problem of static series system. At different times, the limited state functions are linearized at the most probable point (MPP) and at the most unfavorable point (MUP). The transformed static system reliability problem with hybrid uncertain variables can be solved effectively by introducing random variables. To solve the double-loop nested optimization in the hybrid reliability calculation, an effective iterative method is proposed. Two numerical examples and an engineering example demonstrate the validity of the present approach.
Highlights
Due to structural material performance degradation, changing working environment, time-variant load effects, etc., the reliability of the structure exhibits time-variant properties [1,2,3,4,5,6]
Jiang et al [28] proposed the improved time-variant reliability based on process discretization (TRPD), in which time invariant reliability analysis is only performed at the component level, and no new random variables are needed
Carlo needs to call the limit-state function 89,175,543 times, while this method calls the loads F and P are seen as random variables
Summary
Due to structural material performance degradation, changing working environment, time-variant load effects, etc., the reliability of the structure exhibits time-variant properties [1,2,3,4,5,6]. The quasi-static methods have been developed to improve efficiency, such as the stochastic process discretization approach [24] and the envelope method [25] These methods translate the estimation of time-dependent failure probability into the estimation of time-independent failure probability. Developed a method for solving time-variant reliability based on process discretization (TRPD). Jiang et al [28] proposed the improved TRPD, in which time invariant reliability analysis is only performed at the component level, and no new random variables are needed. It makes the solving process more concise and clearer, and effectively saves the calculation cost.
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