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首先分析了边坡极限平衡分析方法稳定性系数计算原理,提出了其隐函数形式在可靠度分析时不能采用解析方法求解的问题。利用可靠度指标的几何意义,在建立近似程度判断标准的基础上,提出了在验算点附近采用简单显式函数近似实际极限状态曲面性态,然后采用解析方法计算可靠度的方法。结合边坡极限平衡的Spencer模式,给出了该方法实施的详细步骤和流程。利用该方法,分别基于边坡极限平衡的Spencer模式和Bishop模式,分析了某边坡的失效概率并与精确解进行了比较,其绝对误差分别为0.00379%和0.0039%,相对误差分别为8.42%和3.63%。
Firstly, the calculation principle of the stability coefficient of slope balance analysis method is analyzed, and the problem that its implicit function form can not be solved by analytic method in the reliability analysis is proposed. Based on the geometric meaning of the reliability index, a method of approximating the surface state of the actual limit state by using a simple explicit function near the check point is proposed based on the establishment of the approximate criterion. Then the method of calculating the reliability by the analytical method is proposed. Combined with the Spencer model of limit equilibrium of slope, the detailed steps and flow of the method are given. Based on the Spencer model and the Bishop model, the probability of failure of a slope is analyzed and compared with the exact solution. The absolute errors are 0.00379% and 0.0039% respectively, and the relative errors are 8.42% And 3.63%.