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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。
In the stability analysis of seismic slope, single-point ground motion input is often used, but the actual ground motion changes with time and space. In order to study the stability of slopes under the action of multi-point and multi-direction earthquakes, the input of ground motions is composed of synthetic multi-point and multi-direction ground motions that take into account the spatial temporal variation of ground motions, Multi-point and multi-direction seismic load. On the basis of general striping method proposed by academician Chen Zuyu, multi-point and multi-direction seismic actions applicable to any shape sliding surface, that is to say, satisfying the balance of force and satisfying the moment balance In this paper, the limit equilibrium differential equation of the general slope method for slope stabilization is given, and the method of solving dynamic safety factor is given. The feasibility of the method is verified by two examples.