线粘弹性半空间中轴向受力桩的分析

ANALYSIS OF AXIALLY LOADED PILE IN LINEAR VISCO-ELASTIC HALF SPACE

本文用线载荷积分方程法分析了嵌在线粘弹半空间的轴向受力刚性桩。首先，应用Ｍｉｎｄｌｉｎ公式、相应原理和拉氏变换求得垂直点力作用于粘弹性半空间的基本解。然后，沿ｃ轴的（０，Ｌ）分布未知集度ｘ（ｃ）ｙ（τ）的虚的垂直点力，其中ｙ（τ）由桩的平衡方程定出，使边界条件得到满足，便将问题归结为一个Ｆｒｅｄｈｏｌｍ第１种积分方程。文中给出参量固体模型的数值计算例子。

This paper presents the analysis of an axlally loaded rigid pile embedded in a visco-elastic half space by Line-Loaded Integral Equation Method.At first,a fundamental solution of vertical force at a point in the interior of a visco-elastic half space is obtained by means of Mindlin's formula, the correspondent principle for quasi-static problems and the inverse of Laplace transform. Secondly,a fictitious fundamental vertical force with unknown intensity x(c)y(τ),where y(τ) is determined by the equilibrium of the pile, is so distributed along the c axis in(O,L), that the boundary conditions are satisfied, hence, the problem is reduced to a Fredholm integral equation of the first kind.Numerical example is presented,where a 3-pa-rameter solid model is used.