基于双曲线模型的T型刚性桩荷载传递特性研究

假定桩土荷载传递函数为双曲线模型，分析T型刚性桩荷载传递机制，建立桩及桩帽下土体的竖向位移、竖向应力、侧摩阻力与深度之间的控制微分方程。采用微分方程近似解法，推导出相应的解析表达式。利用桩顶沉降作为已知条件进行求解，所得结果能够出反映T型桩荷载传递性状规律，即桩身轴力随深度增加而减小；桩身侧摩阻力随深度增加呈现出先增大后减小；桩土应力比与荷载有关。文中方法的计算值更接近于试验结果，可为工程设计提供理论基础。

Research for load-transfer mechanism of T-shaped rigid pile based on hyperbolic model

The analysis have been done for the load-transfer mechanism of T-shaped rigid pile by assuming pile-soil load-transfer function which is hyperbolic model;the differential equations of pile and soil under the pile and pile cap have been established to express the relations,between vertical displacement,lateral resistance of vertical stress,pile-side friction force and depth control.The corresponding analytical formulas have also been derived by using approximate solution method of differential equation.Using directly the settlement of pile top as the known condition,the calculation results can image basically the work mechanism character rules of single pile with cap according to the method of the paper.As the depth increased,the pile axial force becomes diminution,Lateral resistance of piles with depth increasing showing the first increase after decreasing.The pile-stress ratio is bound up with load.The calculation results by using of the method are close to the test results,and can provide the theoretical basis for engineering design.