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采用一种间接边界积分方程法求解了平面SV波入射下弹性半空间中三维洞室的动力响应问题。通过与已有结果的比较,验证了方法的计算精度。在此基础上,以半空间中圆球形洞室为例,对地表位移响应和洞周动应力集中特征进行了详尽的参数分析,并与二维模型进行了比较。研究表明:二维和三维模型对平面波的动力响应在平面内存在一定的相似性,但在波型转换上存在显著差别,尤其体现在响应峰值及空间分布特征上,并且随着频率的升高,空间分布差异愈加明显;在出平面方向,三维洞室周围存在着显著的波散射效应,而二维模型难以描述这种出平面波型转换现象。
An indirect boundary integral equation method is used to solve the dynamic response of three-dimensional cavities in elastic half-space with plane SV waves. Compared with the existing results, the computational accuracy of the method is verified. On the basis of this, taking the spherical cavity in half space as an example, the parameter analysis of the surface displacement response and the dynamic stress concentration in the cave are analyzed in detail and compared with the two-dimensional model. The results show that the two-dimensional and three-dimensional models have certain similarities in the plane response to plane waves, but there is a significant difference in the waveform conversion, especially in the response peak and the spatial distribution. As the frequency increases , The difference of spatial distribution becomes more obvious. In the plane direction, there is a significant wave scattering effect around the three-dimensional cavern, and the two-dimensional model is difficult to describe this phenomenon of plane wave conversion.