考虑固结和流变的层状地基中的水平单桩的理论分析

THEORETICAL STUDY OF HORIZONTALLY LOADED SINGLE PILE IN LAYERED SOIL CONSIDERING CONSOLIDATION AND RHEOLOGY OF SOIL

利用积分方程和递推矩阵 刚度矩阵方法求解了考虑层状两相介质固结和流变的水平受荷的单桩问题。首先利用层状两相介质中水平圆形载荷基本解 ,建立了时域内的层状两相介质地基中水平单桩的积分方程。然后对所得的积分方程进行Laplace变换 ,得到变换域内的积分方程 ,对变换域内的积分方程采用Schapery逆变换方法得到时域内水平单桩的近似积分方程。最后对所得的积分方程进行数值求解得到桩的剪力。

By using integral equation and 'propagator matrix and rigid matrix' methods, the horizontally loaded single pile in layered saturated soil is solved considering consolidation and rheology of layered soil. In order to solve the proposed problem, the fundamental solutions of horizontal circular load in the interior of the layered half space are used. The second kind of Fredholm integral equation of the single pile in layered saturated viscoelastic soil is obtained through the fundamental solutions. The integral equation can be simplified by means of Laplace transforms methods. By the corresponding inverse Laplace integral transforms method and the numerical solution of the integral equation, the displacement, shear force and moment of the pile are obtained.