中文摘要：

利用波函数展开法和振动理论讨论了半空间界面半圆形刚性平台上双自由度振动系统的反平面响应问题。利用弹性波动理论写出半空间介质内的总位移波场,应用振动理论列出双自由度振动系统满足的二阶常系数微分方程组,通过半圆形刚性平台与介质界面之间的位移和应力连续条件求出散射波函数中未知系数,最后确定出振子和半圆形刚性平台分别相对于入射波振幅的位移振幅比以及刚性平台边界处介质内的环向应力集中系数的变化规律,并通过数值算例给出了计算结果,说明了分析结论的正确性。

英文摘要：

Wave function expansion method and vibration theory are employed to study the out-of-plane response problem of the double degree of freedom vibration system installed on the half circular rigid platform on the half space boundary. The total displacement in the half space media was given using elastic wave theory,and the second order constant coefficient differential equations with which the double degree of freedom oscillatory system can also be given with the vibration theory,the unknown coefficients in the scattering functions can be obtained using the displacement and stress continuity conditions on the interface between the media and the rigid platform. And the variations of the relative displacement amplitude ratios of the rigid platform and the vibrators and the tangential stress concentration factor on the half circular interface can be given,the numerical results of given example show the correctness of the conclusions in the paper.