基于滑楔法的边坡稳定可靠性分析

Reliability Analysis of the Slope Stability Based on Wedge Method

使用滑楔法建立了边坡极限状态的功能函数,用中心差商近似代替对功能函数的数学求导,运用一次二阶矩法计算可靠性指标和失效概率,并使用蒙特卡洛法进行可靠性指标校核,算例计算结果表明可靠性指标对土条侧向力倾角的假定是敏感的,可靠性指标对软弱层的内摩擦角敏感性大于软弱层的内聚力和坡体重度。

The limit state equation is built by the wedge method. The central difference of numerical differential is used to approximately substitute the derivative of the limit state equation. The index of reliability degree and failure probability are worked out by FOSM and are checked by the Monte Carlo Method. The example result shows that the index of reliability degree is sensitive about the direction of the interslice force, and is more sensitive about the friction angle of the weak layer than the cohesion force of the weak layer and unit weight of the slope.