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改进的万有引力搜索算法在边坡稳定分析中的应用

蒋建国, 谭雅, 董立明, 汪翠

蒋建国, 谭雅, 董立明, 汪翠. 改进的万有引力搜索算法在边坡稳定分析中的应用[J]. 岩土工程学报, 2016, 38(3): 419-425. DOI: 10.11779/CJGE201603004
引用本文: 蒋建国, 谭雅, 董立明, 汪翠. 改进的万有引力搜索算法在边坡稳定分析中的应用[J]. 岩土工程学报, 2016, 38(3): 419-425. DOI: 10.11779/CJGE201603004
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JIANG Jian-guo, TAN Ya, DONG Li-ming, WANG Cui. Application of modified gravitational search algorithm in slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3): 419-425. DOI: 10.11779/CJGE201603004
Citation: JIANG Jian-guo, TAN Ya, DONG Li-ming, WANG Cui. Application of modified gravitational search algorithm in slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3): 419-425. DOI: 10.11779/CJGE201603004
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改进的万有引力搜索算法在边坡稳定分析中的应用  English Version

  • 1. 中南大学土木工程学院,湖南 长沙 410075;
    2. 郑州工业应用技术学院,河南 郑州 451100

详细信息
    作者简介:

    蒋建国(1973- ),男,湖南洞口人,副教授,主要研究方向:路基路面工程,岩土工程等.E-mail: tanya19881207@126.com.

  • 中图分类号: TU43；U416.14

Application of modified gravitational search algorithm in slope stability analysis

  • 1. Civil Engineering College, Central South University, Changsha 410075, China;
    2. Zhengzhou University of Industrial Technology, Zhengzhou 451100, China

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    摘要
  • 摘要: 基于万有引力搜索算法(GSA)提出了一种改进的万有引力搜索算法(MGSA).针对GSA在处理优化问题时会出现发散的情况,通过限制粒子的速度同时更改算法中的参数来改善这一问题.算法改进后显著提高了GSA中粒子的探索能力与开发能力,可以获得较强的优化能力.采用MATLAB对8个测试基准函数进行仿真实验,并将该方法引入到边坡稳定分析中.对于边坡稳定性分析,利用MGSA搜索出临界滑动面并结合极限平衡法计算出相应的最小安全系数.结果表明:与GSA法及其他方法相比,MGSA在求解最危险滑动面安全系数时具有更好的优化性能.
    Abstract: Based on the gravitational search algorithm (GSA), an effective modified gravitational search algorithm (MGSA) is proposed. Since the GSA divergence occurs during optimization process, the new strategy uses a limited velocity to control the particles and changes the parameters in the algorithm to improve this problem. The modified algorithm improves the exploration and exploitation ability significantly, and has better optimization ability. The performances of the MGSA and GSA are testified by MATLAB on a suite of eight benchmark functions, and the results are compared. Then the method is used to analyze slope stability. For this problem, the MGSA is used to search the critical slip surface and to calculate the corresponding minimum safety factor based on the limit equilibrium method. The simulated results illustrate that the MGSA has better optimization performance in searching the critical slip surface and calculating the safety factor compared with the GSA and other methods.
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    • 参考文献(10)
  • [1] 邵信光, 杨慧中, 陈 刚. 基于粒子群优化算法的支持向量机参数选择及其应用[J]. 控制理论与应用, 2006, 23(5): 740-743, 748. (SHAO Xin-guang, YANG Hui-zhong, CHEN Gang．Parameters selection and application of support vector machines based on particle swarm optimization algorithm[J]. Control Theory and Applications, 2006, 23(5): 740-743, 748. (in Chinese))
    [2] RASHEDI E, NEZAMABADI-POUR H, SARYAZDI S. GSA: A gravitational search algorithm[J]. Information Sciences, 2009, 179(13): 2232-2248.
    [3] 徐 遥, 王士同. 引力搜索算法的改进[J]. 计算机工程与应用, 2011, 47(35): 188-192. (XU Yao, WANG Shi-tong. Enhanced version of gravitational search algorithm: weighted GSA[J]. Computer Engineering and Applications, 2011, 47(35): 188-192. (in Chinese))
    [4] 刘 勇, 马 良. 非线性极大极小问题的混沌万有引力搜索算法求解[J]. 计算机应用研究, 2012, 29(1): 47-48. (LIU Yong, MA Liang. Solving nonlinear minimax problems based on chaos gravitational search algorithm[J]. Application Research of Computers, 2012, 29(1): 47-48. (in Chinese))
    [5] SARAFRAZI S, NEZAMABADI-POUR H, SARYAZDI S. Disruption: A new operator in gravitational search algorithm[J]. Scientia Iranica, 2011, 18(3): 539-548.
    [6] SCHUTZ B. Gravity from the ground up[M]. London:Cambridge University Press, 2003.
    [7] 范炜峰. 万有引力搜索算法的分析与改进[D]. 广州: 广东工业大学, 2014. (FAN Wei-feng. Analysis and improvement of the gravitational search algorithm[D]. Guangzhou: Guangdong University of Technology, 2014. (in Chinese))
    [8] RASHEDI E, NEZAMABADI-POUR H, SARYAZDI S. Filter modeling using gravitational search algorithm[J]. Eng Appl Artif Intell, 2011, 24: 117-122.
    [9] ZHU D, LEE C, QIAN Q, et al. A concise algorithm for computing the factor of safety using the Morgenstern-Price method[J]. Can Geotech J, 2005, 42: 272-278.
    [10] CHOWDHURY R, XU D. Reliability index for slope stability assessment - two methods compared[J]. Reliab Eng Syst Saf, 1992, 37: 99-108.
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出版历程
  • 收稿日期:  2015-02-01
  • 发布日期:  2016-03-24

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