多点、多向地震作用下非圆弧滑面边坡稳定分析通用条分法

在地震边坡稳定性分析当中，往往采用单点地震动输入，但实际地震动是随着时间和空间变化的。为了研究边坡在多点、多向地震作用下的稳定性，地震动输入采用考虑地震动的空间时间变化特性的人工合成多点、多向地震动，并将之转化为作用于边坡上的多点、多向地震荷载，在陈祖煜院士所提出的通用条分法的基础之上，推导了适用于任意形状滑面、即满足力的平衡又满足力矩平衡的多点、多向地震作用下边坡稳定通用条分法的极限平衡微分方程，并给出了求解动力安全系数的方法，通过两个算例验证了方法的可行性。

Generalized slice method for stability analysis of slope with non-circular slide face under multipoint and multidirection seismic ground motions

The uniform seismic ground motion is usually emloyed to analyze the slope stability under earthquake. But in fact the seismic ground motions are varied with time and space. The slope stability under multipoint and multidirection seismic ground motions is an important topic. Based on the generalized slice method of the forces and the moments equilibrium the limit equilibrium equations of slope under multipoint and multidirection are derived; and the method to solve the dynamic safety factor is given. In this derivation, the seismic ground motions under each slice of slope are varied with time and space; and the horizontal ground motions are not fully incoherence with the vertical ones. Finally, two examples are analyzed to verify this method feasibility.