基于数值流形法的土质边坡动力稳定性分析

Dynamic stability analysis of soil slopes based on numerical manifold method

由于对NMM动力作用下边坡的稳定分析研究较少,利用数值流形法(NMM)对这一问题进行了分析研究,引入黏性阻尼来耗散系统的能量,通过算例验证了NMM求解边坡永久位移的有效性;利用地震动力时程分析得到的边坡应力场计算出了边坡的动力安全系数时程曲线,并搜索得到地震时程下最小安全系数及其对应的边坡最危险滑裂面,将该最危险滑裂面模型作为NMM的计算模型进行永久位移的计算且与Newmark法得到的结果进行对比,两者结果相近。结果表明:NMM可有效进行边坡动力稳定分析、模拟计算边坡的永久位移。

Due to little researches on dynamic stability of soil slopes by using the numerical manifold method （NMM）, NMM is adopted to analyze such a problem. The viscous damping is introduced to dissipate the energy of the system. Through a few numerical examples, the effectiveness of NMM to solve the permanent displacement of a slope is verified. Using the stress field of the slope under dynamic seismic time history, the time history of safety coefficient is obtained, and the most dangerous sliding surface of the slope under seismic time history is searched. The most dangerous sliding surface model is introduced into NMM to obtain the permanent displacement. The results of NMM are compared with those of the Newmark method, and they are similar. This study shows that NMM can effectively slove the dynamic stability problem and simulate the permanent displacement of soil slopes.