边坡稳定性分析的力矩和方法研究  

Torque sum method for slope stability analysis

作　　者：陈文胜 刘成 徐彬 尹平保 CHEN Wensheng;LIU Cheng;XU Bin;YIN Pingbao(School of Civil Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学土木工程学院,湖南长沙410114

出　　处：《岩土工程学报》2025年第3期645-651,共7页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金面上基金项目(52178311,51778067)。

摘　　要：提出了一种新的边坡稳定性分析方法,即力矩和方法。力矩和方法是在矢量和方法的基础上,考虑滑坡体作为刚体的位移模式,补充了滑坡体绕某点转动的位移趋势而提出来的。该方法对一确定的滑坡体与滑动面,假定滑坡体绕某点转动,通过求出滑坡体的转动力矩和与抗转动力矩和,从而求到滑坡体绕某点转动时的安全系数。给出了力矩和方法安全系数的定义,并结合条分模型的滑动面应力求解,推导了安全系数的求解公式与相应计算步骤。根据力矩和方法求解了两个ACADS考题,分别针对圆弧和非圆弧滑动面与其它代表性方法的结果进行了比较,结果显示力矩和方法得到了较传统方法较小的安全系数,该结果值得边坡稳定性分析时关注。力矩和方法的提出,是对矢量和方法仅考虑滑动体直线平移位移模式的一个补充,也为边坡稳定性分析,特别是滑坡体可能是转动位移模式提供了一种新的途径。A new method for analyzing slope stability,the torque sum method(TSM),is proposed.The TSM is on the basis of the vector sum method(VSM),considering the displacement mode of the landslide mass as a rigid body and supplementing the displacement tendency of rotating around a certain point.The TSM assumes,for a definite landslide mass and sliding surface,that the mass rotates around a certain point,and by calculating the sum of the rotating torques and the anti-rotating torques of the slide body,the factor of safety when the landslide mass rotates around a certain point is obtained.In this work,the definition of the factor of safety for the TSM is given,and the formula for solving the factor of safety as well as the corresponding calculation steps are derived based on the sliding surface stress of the slice method model.Two examples of ACADS are solved by the TSM,and the results of circular and non-circular sliding surfaces are compared with those of other representative methods.The results show that a smaller factor of safety is obtained by the TSM than by the traditional methods,which is worthy of attention in slope stability analysis.The proposed TSM is a supplement to the VSM which only considers the linear translational displacement mode of sliding body,and also provides a new way for slope stability analysis,especially the possible rotational displacement mode of landslide mass.

关 键 词：边坡 稳定性分析 力矩和方法 安全系数 矢量和方法 

分 类 号：TU43[建筑科学—岩土工程]