土坡稳定分析普遍极限平衡法的数值解研究

建立了适于边坡稳定分析简单的平面直角坐标系。提出了基于边坡稳定分析普遍极限平衡法原理的数值积分解法 ,推导了圆弧滑面和复合滑面力矩平衡和力平衡安全系数积分表达式 ,建议了一简单而适用的内部力函数。开发了普遍极限平衡数值积分解的计算和图形处理程序。以实例进行介绍 ,并与其他方法进行了比较 ,揭示了边坡土体内下滑力和抗滑力的分布规律 ,及内部水平推力和剪力的分布特征 ,指出稳定边坡内存在一临界平衡点

Study on numerical solution of general limit equilibrium method for stability analysis of soil slopes

A simple orthogonal plane coordinate system that is applicable to analyze the stability of soil slopes is set up. The numerical integral method of the stability analysis of slopes is presented based on the general limit equilibrium method. The integral formulae of the safe factors of moment equilibrium and force equilibrium for circular surface and compound surface are deduced. A simple and useful function of internal forces is proposed. The calculation and figure treatment are programmed according to the integral method of the general limit equilibrium. An example is given and compared with other methods.The distribution laws of sliding force, resistance, internal lateral thrust and shearing forces in the slope are shown by the figure treatment results. It is concluded that there is a critical equilibrium point in stable slopes.