›› 2017, Vol. 38 ›› Issue (S1): 291-298.doi: 10.16285/j.rsm.2017.S1.036

• 基础理论与实验研究 • 上一篇    下一篇

锚杆作用下边坡稳定分析中改进最小势能法研究

孙加平1,顾厚煜2,胡国保3,温树杰2   

  1. 1. 江西工业工程职业技术学院 采矿与建筑工程系,江西 萍乡 337000;2. 江西理工大学 建筑与测绘工程学院,江西 赣州 341000; 3. 清远市建设工程质量监测站,广东 清远 511515
  • 收稿日期:2016-08-11 出版日期:2017-06-22 发布日期:2018-06-05
  • 作者简介:孙加平,男,1989年生,硕士,助教,主要从事边坡的稳定性分析方面的研究。

An improved minimum potential energy method for slope stability analysis under action of bolt

SUN Jia-ping1, GU Hou-yu2, HU Guo-bao3, WEN Shu-jie2   

  1. 1. Department of Mining and Construction Engineering, Jiangxi Vocation College of Industry and Engineering, Pingxiang, Jiangxi 337000, China; 2. School of Architecture and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China; 3. Qingyuan City Construction Engineering Quality Monitoring Station, Qingyuan, Guangdong 511515, China
  • Received:2016-08-11 Online:2017-06-22 Published:2018-06-05

摘要: 为分析锚杆作用下边坡的稳定性,基于最小势能原理,通过单元体虚位移方向的静力平衡方程确定滑面剪应力分布的解析解,构建剪切势能计算模型。在建立边坡支护系统的势能函数时考虑锚杆储存的线应变能以及弯曲应变能,提出改进的最小势能锚杆支护边坡稳定性分析方法。通过算例将其与传统算法进行对比,分析了锚杆参数对边坡安全系数的影响。研究表明,文中的计算方法可行且合理,锚杆的弯曲应变能对边坡的安全系数计算结果的影响可忽略不计;锚杆的竖向间距、长度、锚固角、锚固力以及第一排锚杆距离地面的距离对边坡的安全系数影响较为显著,锚杆的刚度对边坡安全系数的影响水平较低;随着锚杆长度的增加,边坡的安全系数曲线呈现先递增后趋于稳定的变化规律;锚固角度为 左右时边坡的安全系数存在最优值。

关键词: 锚杆, 边坡, 剪应力, 安全系数

Abstract: The aim of the study is to analyze stability of slope under the action of bolt using the principle of minimum potential energy. Forces of unit sliding body are projected on sliding direction of slope to solve shear stress of supplying shear potential energy. Through static equilibrium equations in the direction of the imaginary displacements of unit body, the analytical solution of shear stress distribution on the sliding surface is obtained,and a model for calculation of shear force is constructed. At the same time, the line strain energy and bending strain energy of the bolt are considered when the total potential energy function of the slope is established; and an improved stability analysis method based on minimum potential energy for the is proposed under bolt. A comparative analysis between the traditional algorithm and proposed procedure is made via a case study. Bolt parameters impact on the safety factor of the slope is examed. Research shows that the proposed calculation method is feasible and reasonable; bolt bending strain energy can be neglected when solving slope safety factor; bolt vertical spacing, length, anchorage angle, the anchoring force and distance of the first row of bolt from the ground have significant influence on of safety factor; and the influence of bolt stiffness level on the slope safety factor is low. With the increase of bolt length, curve of slope safety factor shows variation tends to increase first and then stable; when the angle of anchorage is 22°, the safety factor of the slope has the best value.

Key words: bolt, slope, shear strength, factor safety

中图分类号: 

  • TU 473

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