边坡可靠性评价的向量投影响应面研究及应用

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。

Reliability evaluation of slopes based on vector projection response surface and its application

The mechanical parameters of rock-soil are random.When evaluating the reliability of the slope,the state function can not be expressed explicitly,thus,the response surface method is applied to solve this problem.A new method of slope reliability analysis is proposed combining the FEM strength reduction method.The results of the strength reduction method are adopted to fit the equation for stability coefficient instead of implicit equation,so a limit state equation is established.The approximate equation of ...