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引入图论的概念,将堆积体边坡稳定性分析中搜索最危险滑动面及计算安全系数问题转化为图论中求最短路问题。对动态规划算法进行改进,给出改进动态规划算法的基本方程,利用改进动态规划算法解决图论中求最短路问题,建立基于改进动态规划算法的极限平衡有限元方法。通过一个算例对该方法进行验证,计算结果与推荐答案基本一致,说明该方法适用于堆积体边坡稳定性分析。将该方法用于溪洛渡水电站左岸谷肩堆积体边坡稳定性分析,研究表明,计算得到的最危险滑动面和安全系数与极限平衡法的计算结果基本一致,工程应用效果良好。
By introducing the concept of graph theory, the problem of searching for the most dangerous slip surface and calculating the safety factor in the slope stability analysis of stacks is transformed into the problem of finding the shortest path in graph theory. The dynamic programming algorithm is improved. The basic equations of the improved dynamic programming algorithm are given. The improved dynamic programming algorithm is used to solve the shortest path problem in the graph theory. The limit equilibrium finite element method based on the improved dynamic programming algorithm is established. The method is validated by an example. The calculated result is basically consistent with the recommended answer, which shows that the method is suitable for slope stability analysis of the pile body. The method is applied to the slope stability analysis of the left shoulder bank of Xiluodu hydropower station. The results show that the calculation results of the most dangerous slip surface and safety factor are in good agreement with the limit equilibrium method, and the engineering application is good.