# Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space

**Journal of Sound and Vibration**(0022-460X). Vol. 387 (2017), p. 177-193.

[Artikel, refereegranskad vetenskaplig]

A closed-form semi-analytical solution for the vibrations due to a moving point load in a tunnel embedded in a half-space is given in this paper. The tunnel is modelled as an elastic hollow cylinder and the ground surrounding the tunnel as a linear viscoelastic material. The total wave field in the half-space with a cylindrical hole is represented by outgoing cylindrical waves and down-going plane waves. To apply the boundary conditions on the ground surface and at the tunnel-soil interface, the transformation properties between the plane and cylindrical wave functions are employed. The proposed solution can predict the ground vibration from an underground railway tunnel of circular cross-section with a reasonable computational effort and can serve as a benchmark solution for other computational methods. Numerical results for the ground vibrations on the free surface due to a moving constant load and a moving harmonic load applied at the tunnel invert are presented for different load velocities and excitation frequencies. It is found that Rayleigh waves play an important role in the ground vibrations from a shallow tunnel. (C) 2016 Elsevier Ltd. All rights reserved.

**Nyckelord: **Cylindrical waves, Plane waves, Soil-tunnel interaction, Moving point load, Critical velocity, finite/infinite element approach, ground vibration, soil vibrations, underground tunnels, railway tunnels, trains, model, prediction, load, buildings, Acoustics, Engineering, Mechanics, amos aa, 1995, earthquake engineering & structural dynamics, v24, p917

Denna post skapades 2017-01-13.

CPL Pubid: 246852