岩土力学 ›› 2020, Vol. 41 ›› Issue (S1): 255-263.doi: 10.16285/j.rsm.2019.1252

• 岩土工程研究 • 上一篇    下一篇

一种基于最小势能法的三维任意形 滑面构造与搜索方法

孙自立1, 2，温树杰1, 2，梁超1, 2，肖豪1, 2   

  1. 针对边坡实际滑面形状的三维性和任意性，提出包含8个参数的边坡三维任意形滑面构造方法。随机生成2组不同倾角和长度的空间线段，将其依次连接分别构成基准线和滑移线，以滑移线的最低点为基点，以基准线为轨道，滑动滑移线生成三维任意形滑面，收集滑体数据，根据最小势能法计算安全系数并确定以8个构造参数为变量的目标函数。利用遗传算法搜索各参数的最优值，得到最小安全系数及其对应的临界滑面，同时开发出便于实际应用的搜索软件。为证明构造与搜索方法的合理性，通过算例将其与其他方法得到的结果比较，并进行室内模型试验验证。结果表明，相比其他方法，文中方法所得临界滑面的安全系数稍小，滑面形态理论上更接近实际；文中方法搜索得到的临界滑面与模型试验得到的滑面较为一致，所得最小安全系数和实际值1接近。
  • 收稿日期:2018-07-17 修回日期:2019-10-19 出版日期:2020-06-19 发布日期:2020-06-09
  • 通讯作者: 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。E-mail: jttjwsj@163.com E-mail:szl1871819348@163.com
  • 作者简介:孙自立，男，1994年生，硕士研究生，主要从事边坡稳定性分析方面的研究工作

A method for constructing and searching three-dimensional arbitrary slip surface based on minimum potential energy

SUN Zi-li1, 2, WEN Shu-jie1, 2, LIANG Chao1, 2, XIAO Hao1, 2   

  1. The actual slip surface shape of the side slope has the three-dimensional and arbitrary characteristics. Thus a three- dimensional arbitrary-shaped slip surface construction method for side slope controlled by 8 parameters is proposed in this paper. Firstly, two sets of spatial line segments with different dip angles and lengths are randomly generated, which are sequentially connected to form a reference line and a slip line respectively. Then, the lowest point of the slip line is set as the base point, the datum line is set as the trajectory, and a three-dimensional arbitrary-shaped slip surface is generated by moving the slip line. The safety factor based on the minimum potential energy method is calculated, and the objective function with 8 structural parameters as variables is determined by collecting the sliding body data. The genetic algorithm is used to search for the optimal value of each parameter, so as to obtain the minimum safety factor and the corresponding critical slip surface. Meanwhile the search software is developed for practical applications. In order to prove the rationality of the construction and search method, it is verified by comparing with the results obtained by Janbu method and an indoor model test. The results show that a much smaller safety factor of the critical slip surface is obtained and the morphology of the slip surface is close to the reality. It is basically consistent with the results of indoor model tests for the critical slide surface. The minimum safety factor is close to 1.
  • Received:2018-07-17 Revised:2019-10-19 Online:2020-06-19 Published:2020-06-09

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摘要： 边坡；三维任意形滑面；最小势能法；遗传搜索；软件开发

Abstract: slide slope; three-dimensional arbitrary slip surface; minimum potential energy method; genetic search; software development

Key words: 国家自然科学基金项目（No.51304084）, 江西省研究生创新专项资金（No.YC2018-S306）, 江西理工大学青年英才支持计划（2016年）。

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  • This work was supported by the National Natural Science Foundation of China(51304084)
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