摘要
本文从条间力假定入手对现有三维Spencer法进行了改进。改进的Spencer法假定条柱行界面和列界面的条间力方向与水平方向夹角均为未知常数,基于陈祖煜等的假定提出了一种新的条底剪切力方向的分布函数。利用整体平衡建立了一个四元非线性方程组,用牛顿-勒普生法求解,此方法共满足了五个方向的平衡条件(三个方向力的平衡和两个方向力矩平衡),理论基础较为严密,算例表明,此法给出的安全系数与现有三维Spencer法计算结果接近。
Beginning with the assumption of interbar force,this research improves the existing three-dimensional Spencer method.First,it is assumed that the angle between the bar-column row interface and the bar-column interface and the horizontal direction are both unknown constants.Then the article proposes a new bar bottom shear force direction distribution function based on the assumption of Chen Zuyu et al.,.This research uses the overall balance and establishes a quaternary nonlinear equation system and solves with the Newton-Lupson method.This method satisfies the balance conditions in five directions(the balance of forces in three directions and the balance of moments in two directions).The theoretical basis is relatively rigorous,and the calculation examples show that the safety factor given by this method is close to the existing three-dimensional Spencer method.
出处
《吉林水利》
2020年第11期21-25,38,共6页
Jilin Water Resources
关键词
稳定性分析
三维边坡
极限平衡法
改进的Spencer法
stability analysis
three dimensional slope
limit equilibrium method
improved Spencer’s method
