东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2016, Vol. 37 ›› Issue (6): 890-894.DOI: 10.12068/j.issn.1005-3026.2016.06.027

• 资源与土木工程 • 上一篇    下一篇

单纯形微粒群算法在确定路堤安全系数中的应用

沙成满1， 边丹2 ， 杨冬梅2   

  1. (1. 东北大学 资源与土木工程学院， 辽宁 沈阳110819； 2. 东北大学 理学院， 辽宁 沈阳110819)
  • 收稿日期:2015-04-01 修回日期:2015-04-01 出版日期:2016-06-15 发布日期:2016-06-08
  • 通讯作者: 沙成满
  • 作者简介:沙成满(1964- )，男，黑龙江哈尔滨人，东北大学副教授.
  • 基金资助:
    国家自然科学基金资助项目(51179031); 辽宁省自然科学基金资助项目(2014020022).

Application of Simplex Particle Swarm Optimization Algorithm in Determining the Minimum Factor of Safety of Embankment

SHA Cheng-man1， BIAN Dan2， YANG Dong-mei2   

  1. 1. School of Resources & Civil Engineering， Northeastern University， Shenyang 110819， China; 2. School of Sciences， Northeastern University， Shenyang 110819， China.
  • Received:2015-04-01 Revised:2015-04-01 Online:2016-06-15 Published:2016-06-08
  • Contact: SHA Cheng-man
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摘要： 在公路设计中，对于路堤的堤身稳定性、路堤和地基的整体稳定性评价，按规范要求一般采用简化Bishop算法来确定公路边坡最危险滑动弧面及其对应的最小安全系数.工程上常采用的枚举法要求给出搜索范围，计算速度慢.传统的优化算法如步长加速法等存在容易陷入局部极值等缺点.在微粒群算法(PSO)基础上，运用了一种用单纯形法和微粒群法结合的优化搜索算法(SM-PSO)，并与PSO方法在优化效率和优化性能方面作了比较.该方法在收敛速度、适应性等方面较PSO方法也有明显改进，与传统枚举算法相比计算精度满足要求.

关键词: 路堤稳定性系数, 简化Bishop算法, 单纯形法, 微粒群算法, 优化

Abstract: In the design of highway， the simplified bishop algorithm is used to analyze the body stability of the embankment itself and the overall stability both embankment and foundation according to the requirements of specification generally. It is used to determine the most dangerous slope sliding surface and the corresponding minimum factor of safety. The enumeration algorithm frequently adopted in engineering practice requires a given hunting zone and its computation speed is slow. Traditional optimization algorithm such as step-acceleration method results in local extremum and other shortcoming easily. Based on particle swarm optimization (PSO)， a method combining simplex method and particle swarm optimization (SM-PSO) is put forward. And it is proved that it has obvious improvement in convergence speed and adaptability when comparing with PSO algorithm in optimization efficiency and optimization performance.

Key words: embankment stability factor, simplified bishop algorithms, simplex method(SM), particle swarm optimization(PSO), optimization

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