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针对基于极限平衡模式而建立的边坡稳定可靠度功能函数的隐式特征及其导致的可靠度求解等问题,首先利用Kriging插值预测方法,以极限平衡理论的Janbu算法为例,建立了边坡稳定可靠度功能函数的新型显式代理模型;然后将拉丁超立方试验抽样设计方法、Janbu算法、几何可靠度指标计算三者结合起来,研制了该代理模型的求解程序;构建了基于Kriging插值预测的边坡稳定可靠度近似分析新方法。选用某著名边坡算例,将本文方法分析结果与基于蒙特卡洛法的精确解进行了对比,两者的相对误差为5.21%,但前者计算工作量不到后者的万分之一,表明了代理模型方法的实用性和有效性。最后用代理模型方法分析了衡桂高速某段路堑边坡的稳定可靠性,表明本文方法计算结果能够满足工程精度要求,具有一定的应用价值。
Aiming at the implicit characteristics of the slope stability reliability function function and the solution of the reliability which are based on the limit equilibrium mode, the Kriging interpolation method and the Janbu algorithm of the limit equilibrium theory are taken as examples to establish the slope Then a new explicit proxy model of the stability reliability function is established. Then, the Latin hypercube sampling design method, the Janbu algorithm and the calculation of the geometric reliability index are combined to develop the solving program of the proxy model. A Kriging-based interpolation prediction A New Approach for Approximate Analysis of Slope Stability and Reliability. A famous slope example is chosen to compare the method analysis results with the exact solution based on Monte Carlo method. The relative error between the two is 5.21%, but the former is less than one ten thousandth of the latter, It shows the practicability and effectiveness of the proxy model method. Finally, the stability and reliability of a section of cut slope at Henggui Expressway are analyzed by using the proxy model method. The results show that the calculation results of this method can meet the requirements of engineering accuracy and have certain application value.