文档介绍：第 24 卷第 12 期岩石力学与工程学报 Vol . 24 No. 12
2005 年 6 月 Chinese Journal of Rock Mechanics and Engineering June,2005
一个新的非圆弧滑动全局最优化算法
谭新,丁万涛,李术才
(山东大学岩土与结构工程研究中心,山东济南 250061)
摘要:提出了一种新的非圆弧滑动边坡稳定分析算法,该算法直接建立在条分法的基础上。滑坡体被离散成一系
列的土条之后,滑动面变成由这些土条的节点来控制。该算法的实质是随机移动这些节点,用非数值的方法如模
拟退火法使滑动面的移动向潜在的最危险滑动面移动。该算法不需要设定搜索范围,不需要假定滑面形状,能够
自然算出复杂几何特征和材料特性真实边坡下最危险滑动面的形状。同时由于变换过程的局部性,计算效率大为
提高。计算结果表明,该算法准确找到了全局最优解,并验证了在某些情况下滑动面为圆弧状或分段直线状,或
其组合形式。
关键词:边坡工程;稳定分析;非圆滑动面;全局最优;模拟退火;简布法
中图分类号:TU 文献标识码:A 文章编号:1000–6915(2005)12–2060–05
A NEW GLOBAL OPTIMIZATION ALGORITHM FOR
ANALYSIS OF NON-CIRCULAR SLIP SURFACE
TAN Xin,DING Wan-tao,LI Shu-cai
(Geotechnical and Structural Engineering Research Center,Shandong University,Jinan 250061,China)
Abstract:A new approach based on the method of slices to analyze the stability of slopes with non-circular slip
surface is presented. Generally,when a sliding body is discretized to slices,the slices′ nodes represent the slip
surface. So the basic approach of this algorithm is to move the nodes randomly and uses a non-numerical
method,such as simulated annealing(SA) to induct the current surface to the most potential critical slip surface.
There are several merits of this method:it doesn′t need to configure searching domains;it can figure out the shape
of slip surfaces naturally even under the geomet