层状半空间地基上刚性圆板的垂直振动

Vertical Vibration of Rigid Circular Plate on Layered Half Space

用层状模型模拟地基沿深度方向的非均质性，研究了非均质半空间上圆形刚性基础的垂直振动问题．用Hankel变换及传递矩阵方法得出层状半空间表面位移的Hankel变换式．按弹性力学混合边值问题建立层状半空间上刚性圆板垂直振动的对偶积分方程，并化为线性代数方程组求解．

In this paper, vertical vibration of circular rigid foundation on non-homogeneous half space is studied by using layered soil model which simulates non-homogeneous property of soil in depth. Hankel transformation of the surface displacement of layered half space is obtained by applying Hankel transform and Transfer Matrix method. The dual integral equations of vertical vibration of rigid circular plate upon layered half space are established according to the mixed boundary value condition and are reduced to linear algebraicequations.