圆弧滑动边坡改进条分法的数值分析

Numerical Analysis of Improved Vertical Slices Method for Circle Slip Slope

结合传统极限平衡方法和现代极限平衡方法,对圆弧滑动边坡进行垂直条分,将条块间的作用力一般化,提出了基于圆弧滑动的改进条分法。建立了圆弧滑动边坡的力学计算式,确定了一般化的条间力影响系数和边坡安全系数的关系式。运用数值计算和迭代程序,得出滑体分别在力平衡和力矩平衡下的安全系数随条间力影响系数变化情况,从而定量地描述了边坡稳定状态。结果表明,圆弧滑动垂直条分改进方法反映了滑动面和垂直面相互影响情况,数值计算简便,而且精度较高。

Combination traditional limit equilibrium methods and modern limit equilibrium methods, the vertical slices method is used for the slope stability analysis with circle slip surface. By the generalized internal forces between the vertical slices, an improved slices method based on circle slip surface is proposed. Through establishing the mechanics calculation formula for the circle slip slope surface, the relationship between influence coefficient of generalized internal forces and safety factor is can be brought forward, using the numerical calculation and iterative process, the slope safety factor with the changed influence factor of the internal forces can be obtained under the balanced force and balanced torque respectively. It can describe the slope stability quantitatively. The result shows that the improved vertical slices method for circle slip slope reflects the interaction between circle slip surface and vertical surface. The numerical calculation is easy with a higher accuracy.