Shallow-buried structures are inevitably subjected to time-varying disturbances such as drilling and blasting, earthquake and tectonic activities. The work presented in this paper focuses on the transient responses of a shallow-buried cavity. Based on the wave function expansion method, the large arc approximation and the integral transform, the time-domain responses around a cylindrical cavity subjected to transient P wave in an elastic half space are investigated analytically. The analytical results reveal that the wavelength-to-diameter ratio, the direction of disturbance and the embedment depth have a significant effect on the velocity vibrations and dynamic stress concentration around the tunnel. The theoretical investigations can provide practical value for the support of shallow tunnels.

浅埋结构不可避免地受到钻爆、地震和构造活动等时变干扰。本文的工作重点是浅埋空腔的瞬态响应。基于波函数展开法、大圆弧近似和积分变换，对弹性半空间中瞬态P波作用下圆柱腔周围的时域响应进行了解析研究。分析结果表明，波径比、扰动方向和埋设深度对隧道周围的速度振动和动应力集中有显着影响。理论研究可为浅埋隧道支护提供实用价值。