粘弹性层状半空间上刚体的垂直振动

VERTICAL VIBRATION OF RIGID BODY ON VISCOELASTIC LAYERED HALF SPACE

本文较深入地研究了层状粘弹性半空间上刚性圆形基础的垂直振动问题。首先作者采用独创的方法求解弹性动力学基本方程，并借助于ＴｈｏｍｓｏｎＨａｓｋｅｌ的传递矩阵方法得出层状地基表面位移的Ｈａｎｋｅｌ变换式。然后按弹性力学混合边值问题建立层状粘弹性地基上刚体垂直振动的对偶积分方程，并化为第二类Ｆｒｅｄｈｏｌｍ积分方程。文末给出了数值算例。

In this paper, the vertical forced vibration of dynamic foundation on viscoelastic layered half space was studied in detail. At first fundamental equations of elastodynamics were solved using the method proposed by the authors and Hankel transform solution of vertical displacement at the surface of layered half space were obtained by using Thomson Hankel Transfer Matrix. Then the dual integral equation of vertical vibration of a rigid body on viscoelastic layered half space was established according to the mixed boundary valued condition. This dual integral equation was reduced to Fredholm integral equation of the second kind. Numerical examples are given at the end of the paper.