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采用波函数展开法给出了平面SH波入射下均匀半空间中埋置刚性衬砌隧道动力响应的解析解,并对问题的边界条件进行了验证。研究表明,土–隧道相互作用的机理和土–基础–地上结构相互作用有明显区别。土–隧道相互作用导致隧道动力响应小于相应自由场的动力响应,且前者的反应谱峰值周期有一定程度的降低。入射波角度、入射频率、以及隧道埋深对隧道动力响应和地表动力响应有显著影响,而隧道质量的影响则比较小。
The analytic solution of the dynamic response of embedded rigid lining tunnel in a uniform half-space incident plane SH wave is given by using the wave function expansion method. The boundary conditions of the problem are also verified. The research shows that there is a clear difference between soil-tunnel interaction mechanism and soil-foundation-ground interaction. The soil-tunnel interaction leads to the dynamic response of the tunnel being smaller than that of the corresponding free field, and the peak period of the response spectrum of the former decreases to a certain degree. The incident wave angle, incident frequency and tunnel depth have a significant impact on the dynamic response of the tunnel and the surface dynamic response, but the impact of the tunnel quality is relatively small.