An efficient method for solving the failure probability function was proposed to address the difficulties of solving the failure probability function in reliability optimization design,such as complexity and large amount of computation.The basic idea of the proposed method was to utilize the adaptive Kriging method to construct a local surrogate model of the full space of input variables at the failure boundary.The local surrogate model was then combined with the Monte Carlo simulation method to calculate the failure probability of the structures under the specified distribution parameter samples.The functional relationship between the sample points of the distribution parameters and the structural failure probability was then fitted by the Kriging method.Finalization of the implicit func-tion of the failure probability function expressed in terms of the Kriging model.In order to test the ac-curacy and efficiency of the proposed method,two examples were given to compare the computational results of the proposed method with those of the existing methods for solving failure probability func-tions.The results of examples show that the proposed method is suitable for solving complicated func-tional function problems and significantly reduces the amount of computation while satisfying the ac-curacy requirements.
关键词
结构可靠性/失效概率函数/自主学习Kriging方法/代理模型
Key words
structural reliability/failure probability function/adaptive Kriging method/surro-gate model
维普
万方数据