基于极限平衡法的三维边坡稳定性分析方法  

Analysis of Three-Dimensional Slope Based on a New Limit Equilibrium Method

作　　者：刘涛[1] 许翊[1] 

机构地区：[1]内江职业技术学院建筑工程系,四川内江641000

出　　处：《人民黄河》2014年第6期132-134,共3页Yellow River

摘　　要：提出一种新的求解三维边坡稳定性的极限平衡条分法。该方法根据滑裂面的几何特征,假定行方向的土柱条间力与水平面夹角和列方向的土柱条间力与水平面夹角为常数,根据每个条块力的平衡和稳定系数的定义,求出每个条柱的条间力、柱底法向力和剪力的隐式表达式。将柱底法向力和剪力代入3个方向的整体力矩平衡方程,利用迭代算法求出相应的稳定系数Fs。相较于其他三维边坡极限平衡方法,该方法考虑了尽可能多的条间力作用,并且满足每个条柱3个方向力的平衡,以及滑体绕3个轴的力矩平衡,更符合实际情况。算例计算结果表明,利用极限平衡条分法可以得到相对保守的稳定系数。This paper proposed a new method of limit equilibrium to solve the 3D slope stability. The method Accordinf to the feometrical features of slide surface,the anfles between the inter-column forces of row direction and horizontal plane and the anfles between the inter-column force of column direction and horizontal plane were equal to a constant. On the basis of three force equilibrium equations and definition of factor of safety, the normal force and shear force actinf on the bottom were expressed by the factor of safety. Then the factor of safety could be calculated by iterative alforithm. Compared with other 3D slope limit equilibrium method,the limit equilibrium slice method considered the interstice force function as much as possible,and met with the needs of each column in 3 direction force balance,as well as the slidinf body around the 3 shaft torque balance,beinf more in line with the actual situation. The calculation results show that,by usinf riforous limit equilibrium method it can obtain stable coefficient of relatively conservative.

关 键 词：三维边坡 稳定性 迭代算法 极限平衡条分法 

分 类 号：TU457[建筑科学—岩土工程]