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提出了分析含相关非正态变量高维小失效概率可靠度问题的子集模拟方法,采用Nataf变换方法成功地解决了输入变量相关时子集模拟方法样本点的模拟问题.编写了基于MATLAB语言的计算程序SUBSETREL,并以岩质边坡稳定可靠度问题为例证明了所提方法的有效性.结果表明:该子集模拟方法能够有效地分析含相关非正态变量高维小失效概率的边坡可靠度问题.子集模拟方法的计算精度和蒙特卡洛模拟方法相当,计算效率远远高于传统的蒙特卡洛模拟方法.此外,该方法在分析含有复杂的隐式及非线性功能函数的边坡可靠度问题方面体现出明显的优越性.研究成果极大地拓展了子集模拟方法在边坡可靠度分析中的应用.
A sub-set simulation method is proposed to analyze the reliability of high-dimensional and small-scale failures with related non-normal variables, and the Nataf transform method is used to successfully solve the simulation problem of subset points when the input variables are correlated. SUBSETREL, and the stability of rock slope is taken as an example to demonstrate the effectiveness of the proposed method.The results show that the proposed method can effectively analyze the high-dimensional small failure probability with related non-normal variables Slope reliability problem.Compared with the Monte Carlo simulation method, the computational accuracy of subset simulation method is much higher than that of the traditional Monte Carlo simulation method.In addition, this method is applied to the analysis of complex implicit and nonlinear functions The slope reliability function of the function shows obvious superiority.The research results have greatly expanded the application of subsection simulation method in the slope reliability analysis.