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

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-foundation- superstructure 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.