模拟退火算法的改进及其在边坡稳定分析中的应用

首先对模拟退火算法进行改进,将遗传算法的群体、交叉、变异等概念引入其中,使得它能从多个初始点开始并行寻优,能以较快的速度找到全局最优解。然后基于有限元应力场,应用改进的模拟退火算法建立边坡任意形状最危险滑裂面及相应最小安全系数的全局优化搜索方法。通过典型算例分析,证明应用改进的模拟退火算法搜索边坡最危险滑动面是可行和高效的。

Improved Simulated Annealing Algorithm and Its Application to Slope Stability Analysis

In this paper,the simulated annealing algorithm has been improved by introducing the conception of population,cross-over and mutation of genetic algorithm.The improved simulated annealing algorithm can iterate a population of solutions rather than a single solution,and consistently converges to global optimum.Based on the combination of finite element method and improved simulated annealing algorithm,an effective global optimization method is proposed to allocate the non-circular critical slip surface corresponding to the minimum factor of safety in slopes.The feasibility and efficiency of the proposed method are finally demonstrated with the stability analysis of a classic slope case.