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岩土体的力学参数存在一定的随机性,当进行边坡稳定可靠性评价时,当功能函数不能用显式表达时,响应面法成为计算可靠度指标的重要方法。将向量投影响应面法与有限元强度折减法相结合,研究隐式功能函数边坡工程稳定可靠度计算方法。首先利用强度折减法结果拟合稳定系数计算方程从而代替隐式方程,并建立极限状态方程,然后进行向量投影以确定展开点和抽样点,进行近似方程的拟合、验算点和可靠度指标的计算,直到计算达到收敛。通过与不同计算方法进行对比,表明区别于通常以插值点为中心展开生成样本点的向量投影取样法的准确性和合理性,该方法可使可靠性分析次数显著减少,改善了对非线性程度较高的极限功能函数求解可靠指标的收敛性。同时,将该方法应用于杭兰高速公路大水田边坡的稳定可靠性分析当中。
The mechanical parameters of rock and soil body have some randomness. When evaluating the reliability of slope stability, the response surface method is an important method to calculate the reliability index when the function function can not be expressed explicitly. The vector projection response surface method and finite element strength reduction method are combined to study the calculation method of stability of implicit function function slope engineering. Firstly, the calculation formula of stability coefficient is fitted by the strength reduction method to replace the implicit equation, and the limit state equation is established. Then the vector projection is performed to determine the expansion point and the sampling point, and the approximation equation fitting, checking point and reliability index Calculate until the calculation reaches convergence. By comparing with different calculation methods, the accuracy and rationality of the vector projection sampling method, which is different from the usual method of generating sample points with interpolation points as the center, are shown. This method can significantly reduce the number of reliability analysis and improve the non-linearity Higher Limit Function to Solve the Convergence of Reliable Index. At the same time, this method is applied to the stability analysis of large paddy slope in Hang-Lan Expressway.