平面SH波激励下的土–隧道动力相互作用的解析解

Analytical solution of dynamic soil-tunnel interaction for incident plane SH wave

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 wave function expansion method is used to obtain the analytical solution of dynamic responses of a rigid lined tunnel embedded in homogeneous half-space to the excitation of incident plane SH waves, and the boundary condition is verified. It is shown that the mechanism of soil-tunnel interaction is evidently different from that of soil-foundationsuperstructure interaction. The soil-tunnel interaction leads to the result that the tunnel response is smaller than the corresponding free-field response, and that the peak frequency of response spectra of the former is lower than that of the latter. The angle and frequency of the incident waves and the tunnel embedment have significant influences on the responses of tunnel and ground surface, while the influences of tunnel mass are little.