Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space
Artikel i vetenskaplig tidskrift, 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

Författare

Z. H. Yuan

Chalmers University of Technology

Zhejiang University

Anders E Boström

Chalmers, Tillämpad mekanik, Dynamik

Y. Q. Cai

Zhejiang University

Journal of Sound and Vibration

0022-460X (ISSN) 1095-8568 (eISSN)

Vol. 387 177-193

Ämneskategorier

Maskinteknik

Geoteknik

Drivkrafter

Hållbar utveckling

DOI

10.1016/j.jsv.2016.10.016