抽水井点和单桩的相互作用问题

THE INTERACTION BETWEEN POINT SINK AND SINGLE PILE

根据Biot固结理论和积分变换方法得出了半空间作用圆形载荷或抽水井点时的基本解。利用圆形载荷和抽水井点的基本解得出了单桩和抽水井点相互作用时在时间域内的第二类Fredholm积分方程。利用Laplace变换对上述积分方程进行简化后 ,进行相应的逆变换 ,并对该积分方程进行离散 ,就可得单桩在抽水井点作用下桩的变形。

In terms of Biot consolidation theory and by using integral transforms methods, the fundamental solutions of circular load or point sink in the interior of the half space are established. The second kind of Fredholm integral equation of the single pile interacted with the point sink is obtained through the fundamental solutions. The integral equation can be simplified by means of Laplace transforms methods. By the corresponding inverse integral transforms and the numerical solution of the integral equation, the displacement, axial force and the shear stress of the pile are obtained.