基于滑面正应力分布的爆炸震动荷载作用下边坡稳定性分析

假定滑面正应力分布为2个待定参数的拉格朗日函数，推导出爆炸震动作用下滑体的水平力、垂直力和力矩平衡方程。通过算例分析证实计算方法的可行性，说明爆炸振动拟静力系数与边坡安全系数的关系。研究结果表明，垂直向下、水平指向坡外的爆破振动荷载以及两者的联合爆破荷载对边坡稳定性安全系数有很大的影响；爆破荷载拟静力系数从0增加到0.3 ，每步增加 0.05,爆破振动水平指向坡外时，边坡安全系数减少6.65%～23.54%，爆破振动垂直向下时，边坡安全系数减少1.18%～2.52%, 联合爆破荷载的方向对边坡稳定性也有影响。

Study of slope stability under blasting vibration based on distribution of normal stress over slip surface

The initial distribution of normal stresses over the slip surface is assumed, which is then modified by a Lagrangian function involving two parameters to satisfy the complete equilibrium conditions of the sliding body. Reliability of the proposed method was verified and relation between pseudo-static coefficient under blast seism and safety factor of on slope was explained by using calculatiexamples. Computed results in some engineering cases show that the horizontal and vertical dynamic loads as well as their combined dynamic load make the greatest impact on the safety factor of slope stability. When horizontal dynamic load pseudo-static coefficient is added 0.05 from 0 to 0.3, the safety factors are reduced 6.65% -23.54 %. When vertical dynamic load pseudo-static coefficient is added 0.05 from 0 to 0.3, the safety factors are reduced 1.18 % -2.52 %. The combined load action direction has also some impact on the slope stability.