Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space
Journal article, 2017
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.
Soil-tunnel interaction
Mechanics
1995
earthquake engineering & structural dynamics
Acoustics
v24
ground vibration
Plane waves
prediction
amos aa
load
trains
Engineering
p917
buildings
soil vibrations
Moving point load
Critical velocity
finite/infinite element approach
railway tunnels
Cylindrical waves
underground tunnels
model
Author
Z. H. Yuan
Chalmers University of Technology
Zhejiang University
Anders E Boström
Chalmers, Applied Mechanics, Dynamics
Y. Q. Cai
Zhejiang University
Journal of Sound and Vibration
0022-460X (ISSN) 1095-8568 (eISSN)
Vol. 387 177-193Subject Categories (SSIF 2011)
Mechanical Engineering
Geotechnical Engineering
Driving Forces
Sustainable development
DOI
10.1016/j.jsv.2016.10.016