竖向受荷长短桩基础的位移分析方法

Analytic method of pile displacement in long-short pile group subjected to vertical loading

摘要: 提出一个竖向荷载作用下长短桩群桩基础中单桩的桩侧摩阻力分布函数表达式,基于变形协调关系、桩体的物理方程和力的平衡关系,推导出长短桩群桩基础中联系桩顶荷载和桩顶位移的刚度矩阵。该刚度矩阵可用以分析竖向受荷长短桩群桩基础的位移。应用该方法时,桩体不需要划分单元,而且对于不同长度的桩组成的群桩基础具有分析过程的不变性和最终刚度矩阵大小的不变性。将本方法与边界单元方法、有限单元方法进行了比较,证实该方法是可行的,且计算精度满足要求。

Abstract: Function with two undetermined coefficients was applied to characterize shear force along the piles in long-short pile group.Based on displacement compatibility relation,stress and strain equation and force equilibrium relationship of pile,the stiffness matrix relating force to displacement of pile top was deduced.This matrix could be used to analyze both displacement and shear force along the depth of piles in long-short pile group without discretization of the soil or piles.It was shown by comparison with boundary element method and finite element method that this method was feasible.