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基于单纯形-有限随机追踪法的边坡稳定性分析
引用本文:姚爱军,田治州,金永军.基于单纯形-有限随机追踪法的边坡稳定性分析[J].地下空间与工程学报,2015,11(5):1333-1338.
作者姓名:姚爱军  田治州  金永军
作者单位:1.北京工业大学 城市与工程安全减灾教育部重点实验室,北京 100124;2.中国电力工程顾问集团华北电力设计院工程有限公司,北京 100120
基金项目:城市与工程安全减灾教育部重点实验室项目(2013ZD01);国家自然科学基金(50978007)
摘    要:有限随机追踪法在边坡稳定性分析中的全局搜索能力,为边坡稳定性分析提供了新的思想。本文主要将单纯形法的局部搜索能力与有限随机追踪法的全局搜索能力有机结合起来,形成单纯形-有限随机追踪法优化算法,并利用改进Bishop算法对边坡进行稳定性分析,最终得到边坡稳定性系数的全局最优解。依据上述思想编制了边坡稳定性分析程序,并对边坡工程进行稳定性分析与评价。研究结果表明:根据单纯形-有限随机追踪法优化算法计算得到的边坡稳定性系数是全局最优解,具有较高的精度,单纯形-有限随机追踪法优化算法具有较强的全局搜索能力,分析结果可靠。

关 键 词:单纯形法  边坡稳定性  全局优化算法  最危险滑动面  
收稿时间:2014-09-25

Stability Analysis of Soil Slope Based on Simplex-Finite Stochastic Tracking Method
Yao Aijun,Tian Zhizhou,Jin Yongjun.Stability Analysis of Soil Slope Based on Simplex-Finite Stochastic Tracking Method[J].Chinese Journal of Underground Space and Engineering,2015,11(5):1333-1338.
Authors:Yao Aijun  Tian Zhizhou  Jin Yongjun
Affiliation:1. The Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, P. R. China;2.North China Power Engineering Co.,Ltd of China Power Engineering Consulting Group, Beijing 100120, P. R. China
Abstract:A new idea that uses the global search ability of finite stochastic tracking method in the slop stability analysis was proposed. The so-named simplex-finite stochastic tracking optimization algorithm is constructed from the simplex algorithm and the finite stochastic tracking method, and combined with the improved Bishop method to analyze the stability of the slope, and finally to get the global optimal solution with slope stability coefficient. We have developed the slope stability analysis program according to the above idea, and we analyzed and evaluated the stability of a slope project based on the program. The results showed that the solution of simplex-finite stochastic tracking optimization algorithm was a global optimum solution with the precise safety factor. The simplex-finite stochastic tracking optimization algorithm has stronger global search capability and is much more reliable for the stability analysis of the slope.
Keywords:simplex algorithm  slope stability  global optimization algorithm  the critical failure surface  
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