基于多重子域代理模型的结构可靠性分析

基于合理子域概念，构建多重代理模型。多重代理模型在合理子域内采用经典响应面模型，在合理子域外采用经典Kriging模型，能够充分利用两种经典模型各自的优势。多重代理模型能够合理规避经典响应面模型中响应函数采取事先假定形式带来的可靠度评估风险，同时能够有效避免经典Kriging模型中试验点组合爆炸的问题。相比经典响应面模型，多重代理模型所需试验点数量并未增加，计算效率与经典响应面模型大体相同。算例表明，本文方法的计算结果与MCS的计算结果几乎一致，具有较好的计算精度。

Structural reliability analysis based on a multiple sub-region surrogate model

A multiple surrogate model is constructed based on the concept of reasonable sub-region in this study.The classical response surface model is used inside of the reasonable sub-region,and the classical Kriging model is used outside of the reasonable sub-region.The multiple-surrogate model can make full use of the advantages of both classical models,reasonably avoid the reliability evaluation risk brought by the assumed response function in the classical response surface model,and effectively avoid the problem of combination explosion of experiment points in the classical Kriging model.Compared with the classical response surface model,the number of experiment points constructed the multiple-Kriging model surrogate model does not increase,and thus the computational efficiency is roughly the same as that of the classical response surface model.The numerical results indicated that the proposed method has the similar accuracy as Monte Carlo simulation,and thus is satisfactory.