›› 2018, Vol. 39 ›› Issue (7): 2708-2714.doi: 10.16285/j.rsm.2017.0009

• 数值分析 • 上一篇    

基于最小势能法的三维临界滑裂面搜索方法

温树杰1, 2,梁 超1,宋亮亮1,刘 刚1   

  1. 1. 江西理工大学 建筑与测绘工程学院,江西 赣州;2. 江西理工大学 江西省环境岩土与工程灾害控制重点实验室,江西 赣州 341000
  • 收稿日期:2017-01-02 出版日期:2018-07-10 发布日期:2018-08-05
  • 作者简介:温树杰,男,1979年生,博士,教授,硕士生导师,主要从事岩土体稳定与监测方面的教学与研究工作。
  • 基金资助:

    国家自然科学基金项目资助(No. 51304084);江西省自然科学基金项目资助(No. 20151BAB206026);江西理工大学青年英才支持计划项目。

Search strategy of three-dimensional critical slip surface based on minimum potential energy

WEN Shu-jie1, 2, LIANG Chao1, SONG Liang-liang1, LIU Gang1   

  1. 1. School of Architecture and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China; 2. Jiangxi Provincial Key Laboratory of Environmental Geotechnical Engineering and Disaster Control, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China
  • Received:2017-01-02 Online:2018-07-10 Published:2018-08-05
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (51304084), Jiangxi Provincial Natural Science Fund Project (20151BAB206026) and Jiangxi University of Science and Technology Young Talent Support Program.

摘要: 为了得到三维边坡的临界滑裂面,提出了6个参数控制的三维滑裂面构造方法,基于边坡三维最小势能稳定性分析方法建立目标函数,采用遗传算法实现了临界滑裂面的搜索,并开发了相应的搜索程序。为检验文中搜索方法的合理性,将其与其他方法得到的临界滑裂面以及最小安全系数进行比较,并且将室内模型试验得到的临界滑面与理论搜索的结果进行对比。研究表明:搜索方法可实现稳步收敛;针对算例进行多变量同时变化的搜索验算,得到了与极限平衡法较为接近的结果,表明提出的搜索方法是合理的;理论计算结果与室内模型试验坡面加载得到的边坡临界滑面较为接近,再次验证三维边坡临界滑面搜索方法是可行的。

关键词: 三维边坡, 临界滑裂面, 安全系数, 最小势能原理, 遗传算法

Abstract: In order to obtain the critical slip surface of the three-dimensional slope, the construction method of six parameter-controlled three-dimensional slip surface is proposed, and the objective function based on the minimum potential energy stability analysis method is established. The genetic algorithm is used to search the critical slip surface, and the corresponding search process is developed. To validate the rationality of this method, results from this method are compared with the critical slip surface and the minimum safety factor obtained by other methods, and the critical slip surface obtained from the indoor model test is compared against the theoretical search results. The results show that the search method in this paper can achieve steady convergence. Simultaneous change of multivariate search is performed for the examples in this paper, and the results are close to the results from limit equilibrium method, which indicates that the proposed search method is reasonable. The theoretical calculation results are close to the critical slip surface of the slopes obtained from the model loading tests, which again proves that the critical slip surface searching method of the three-dimensional slope is feasible.

Key words: three-dimensional slope, critical slip surface, safety factor, minimum potential energy principle, genetic algorithm

中图分类号: 

  • TU 457

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