利用Biot固结理论和积分方程方法研究了桩在表面圆形载荷作用下的负摩擦问题。首先应用积分变换方法得出了半空间内部以及表面作用圆形载荷时的基本解 ,基于基本解得出了单桩在圆形分布载荷作用下在时间域内的第二类Fredholm积分方程。运用Laplace变换对上述积分方程进行简化 ,求解上述积分方程并进行相应的数值逆变换即可得单桩在表面载荷作用下桩的变形、轴力以及桩侧摩阻力随时间的变化情况。 The Biot consolidation theory and integral equation method were used to study the negative friction of pile under the circular circular load. Firstly, the basic solution of the circular half-space internal and surface circular loads is obtained by using the integral transformation method. Based on the basic solution, the second Fredholm integral equation of the single pile under the circular distributed load in the time domain is obtained. The Laplace transform is used to simplify the above integral equation. Solving the above integral equation and performing inverse numerical inversion can obtain the pile deformation, axial force and pile-side friction resistance with time under the action of surface load.