饱和地基上刚性基础的竖向振动分析

基于第一作者提出的饱和土弹性波动方程,研究了圆柱形刚性基础在饱和地基上的垂直振动,即首先应用Hankel 变换求解动力基本方程,然后按混合边值条件建立饱和地基上刚性基础垂直振动的对偶积分方程,将其化为易于数值计算的第二类Fred holm 积分方程,最后给出了地基表面动力柔度系数Cv 和基础振幅随无量纲频率a0 的变化曲线

Vertical vibration of a rigid circular footing on saturated soil

Based on the theory of elastic wave in saturated soils established by the first author of this paper,the vertical vibration of a rigid circular footing resting on saturated soils is studied.At first the governing differential equations for saturated soils are solved by Hankel transform.Then,considering the boundary condition,the dual integral equations of vertical vibration of a rigid circular footing resting on saturated soils are established which are reduced to Fredholm integral equation of the second kind.The dynamic compliance coefficients for the saturated soils and the amplitude of the vibration of the footing versus the dimensionless frequency a 0 are presented at the end of the paper.