基于非线性规划的重力坝深层抗滑稳定优化算法研究

本文以坝基缓倾软弱结构面为露头的重力坝为研究对象,针对该种坝体可能发生部分下游基岩的剪断而产生滑动的问题,提出了一种重力坝坝基双斜滑动临界破坏滑面的计算方法。本方将下游基岩发生剪断破坏滑面的位置作为优化变量,以重力坝深层抗滑稳定安全系数作为目标函数,同时以等安全系数法方程为约束条件,建立重力坝深层抗滑稳定性分析的非线性数学规划模型,并使用数学规划优化算法求解下游岩体剪断破坏的最不利临界滑面以及其对应的安全系数的最小值。本文的计算方法,具有概念明确、计算精度高等特点,可将其应用于重力坝深层抗滑稳定性的分析。

Research on optimizational algorithm for deep anti sliding stability of gravity dam based on nonlinear programming

In this paper, the gravity dam whose foundation gently inclines and weak plane is the outcrop has been taken as the research object, in view of the problem that some downstream bedrock may slip caused by its shearing, here''s a way to provide a calculation method solving the double inclined sliding critical failure surface. This article takes the location variable of the shear failure surface of downstream bedrock as the optimization variable, takes the deep anti slide safety factor of gravity dam as the objective function, and takes the equal safety coefficient method equation as the constrain condition, then establish the nonlinear mathematical programming model of stability analysis for deep anti slide of gravity dam, and the mathematical programming optimization algorithm is used to solve location of the most critical damage slip surface of the downstream rock and the minimum value of its corresponding safety factors. This method has a clear concept, and high accuracy, which can be applied to the stability analysis of deep anti slide of gravity dam.