刚性基础对SH冲击波的反平面动力响应

Anti-plane Dynamic Response of Rigid Foundations to SH Shock Waves

本文利用谐振波叠加和分离变量法，在椭园坐标中由Ｍａｔｈｉｅ函数给出了椭园底面刚性基础对ＳＨ冲击波动力响应的级数解。当椭圆底面的短轴趋于零时，得到了平底面刚性基础的相应精确解．最后，文中给出了刚性基础的速度和基底应力响应的数值结果．

In this paper, series solution of Mathieu functions for anti - plane dynamic response of rigid foundations at the bottom of elliptic cylinder to SH shock waves is given byharmonic waves superposition and variables separation, and corresponding exact solution forfoundation of flat bottom is obtained when semi minor axes of elliptic cylinder approaches zero. The numerical results of the responses of foundation velocity and stress on the bottom offoundations are presented in the paper at last.