Ground vibration analysis due to a high-speed moving load in a tunnel

The surface response of an infinite viscous-elastic half-space due to a moving load in the tunnel is analyzed. The tunnel is modeled as an infinite long Euler-Bernoulli beam without thickness and the concept of the equivalent stiffness is introduced to simulate the half-space. The inverse Fourier transformation and the relative coordinate transform are utilized to transfer a double infinite integral to a double definite integral, which improves the operational efficiency. Then, the analytic solution of the surface response of a half-space due to a moving load in the tunnel is obtained. Finally, the laws of ground vibration responses induced by moving loads in the tunnel are analyzed, considering different tunnel embedded depths and different moving speeds. Results show that the displacement distortion can be obtained by at some special velocities. A theoretical explaination of this phenomenon is provided as well.