【摘要】 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。更多还原

【Abstract】 The concept of graph theory is introduced so that the problem of searching for the most dangerous slip surface and calculating the safety factor in analysis of accumulation slope stability is converted into searching for the shortest path in graph theory. The dynamic programming algorithm has been improved to establish the basic equations and the improved dynamic programming algorithm is used to solve the shortest path problem in graph theory. The limit equilibrium finite element method has also been established through the improved dynamic programming algorithm. A classical slope case has been specialized to validate this method. According to this method,the position of the most dangerous slip surface is basically consistent with the proposed answer,so its feasibility has been proved. This method has been applied in the stability analysis for the accumulation slope of left bank deposits in Xiluodu Hydropower Station. Its excellent effect in the project proves that the position of dangerous slip surface and the safety factor are basically consistent with those by the limit equilibrium method. And this method can be used in engineering practice very well.更多还原