滑体段采用m法模型的抗滑桩计算方法

在目前的抗滑桩设计计算方法中，多将抗滑桩与滑体间的作用力简化为已知荷载，而忽略了该力与桩位移直接相关的特点。对目前的计算模型进行了改进，采用m法模型模拟桩前滑体对桩的抗力，并分别对桩在滑面以上、以下的部分建立计算方程，应用幂级数法解得其位移及内力的表达式，再利用桩的上、下段在滑面处的变形协调条件，求得该截面的弯矩和剪力，最终得到整个桩的变形和内力以及桩、土之间的作用力。最后，分别应用该方法和有限元法对一算例进行计算，其结果吻合很好，证明了该方法的正确性。

An improved method for stabilising pile by using m-method model to the whole pile

For the existing calculation methods for the stabilising pile, the interaction between pile and landslide body is simplified as the determined load. However, these methods all ignore the direct dependence of the interaction on the displacement of the pile. This study developed a method, in which m-method model was employed to simulate the interaction between landslide body and pile. Meanwhile, equations were established for the piles above and below the slip surface respectively, and their expressions of displacement and internal force were also solved with power series method. Meanwhile, the bending moment and shear force at the slip surface were obtained by using deformation coordinating conditions of the upper and lower piles at the sliding surface. Hence, the deformation, internal force of the pile and the interaction between pile and landslide body were easily computed. Finally, an example was calculated by the presented method and FEM, respectively. It was found that results were in good agreement, which verified the correctness of the method.