地震作用下三维边坡最小势能稳定性分析

Analysis of stability for three-dimensional slope during earthquake based on minimum potential energy principle

为分析地震作用下三维边坡的稳定性,基于最小势能原理,考虑滑裂面处的剪切势能和三向地震力对滑体的作用,建立地震作用下的三维边坡最小势能稳定性分析方法。将该方法与传统拟静力法相对比。分析三向地震力作用对边坡安全系数的影响。结果表明:该方法是合理可行的;水平向地震力对安全系数影响最大,横向与竖向地震力的影响相对较小,但不可忽略横向与竖向地震力对边坡稳定性的影响;滑体横向半长轴变化对安全系数的影响大于水平向和竖向的影响。

In order to analyze the stability of three-dimensional slope under earthquake action, considering shear potential energy at the sliding surface and the effects of 3D earthquake forces on sliding body, a 3D slope stability analysis method was worked out based on principle of minimum potential energy. A comparison was made between the method and the traditional pseudo-static method. Effects of 3D earthquake on safety factor of the slope were discussed. Results show that the method is feasible, that the effect of horizontal seismic force on safety factor is the biggest, and the effects of lateral and vertical seismic forces are relatively small, but can not be ignored, and that the effect of the transverse semi major axis of slope sliding on safety factor is greater than that of the horizontal or vertical semi major axis.