The University of Southampton
University of Southampton Institutional Repository

Modelling ground vibration from tunnels using wavenumber finite and boundary element methods

Modelling ground vibration from tunnels using wavenumber finite and boundary element methods
Modelling ground vibration from tunnels using wavenumber finite and boundary element methods
A mathematical model is presented for ground vibration induced by trains, which uses wavenumber finite- and boundary-element methods. The track, tunnel and ground are assumed homogeneous and infinitely long in the track direction (x-direction). The models are formulated in terms of the wavenumber in the x-direction and discretization in the yz-plane. The effect of load motion in the x-direction is included. Compared with a conventional, three-dimensional finite- or boundary-element model, this is computationally faster and requires far less memory, even though calculations must be performed for a series of discrete wavenumbers. Thus it becomes practicable to carry out investigative study of train-induced ground vibration. The boundary-element implementation uses a variable transformation to solve the well-known problem of strongly singular integrals in the formulation. A ‘boundary truncation element’ greatly improves accuracy where the infinite surface of the ground is truncated in the boundary-element discretization. Predictions of vibration response on the ground surface due to a unit force applied at the track are performed for two railway tunnels. The results show a substantial difference in the environmental vibration that could be expected from the alternative designs. The effect of a moving load is demonstrated in a surface vibration example in which vibration propagates from an embankment into layered ground.
railway, tunnels, ground vibration, model, finite elements, boundary elements
1364-5021
2043-2070
Sheng, X.
1d5fc91c-24df-4515-9c3c-40dfbc903db3
Jones, C.J.C.
695ac86c-2915-420c-ac72-3a86f98d3301
Thompson, D.J.
bca37fd3-d692-4779-b663-5916b01edae5
Sheng, X.
1d5fc91c-24df-4515-9c3c-40dfbc903db3
Jones, C.J.C.
695ac86c-2915-420c-ac72-3a86f98d3301
Thompson, D.J.
bca37fd3-d692-4779-b663-5916b01edae5

Sheng, X., Jones, C.J.C. and Thompson, D.J. (2005) Modelling ground vibration from tunnels using wavenumber finite and boundary element methods. Proceedings of the Royal Society A, 461 (2059), 2043-2070. (doi:10.1098/rspa.2005.1450).

Record type: Article

Abstract

A mathematical model is presented for ground vibration induced by trains, which uses wavenumber finite- and boundary-element methods. The track, tunnel and ground are assumed homogeneous and infinitely long in the track direction (x-direction). The models are formulated in terms of the wavenumber in the x-direction and discretization in the yz-plane. The effect of load motion in the x-direction is included. Compared with a conventional, three-dimensional finite- or boundary-element model, this is computationally faster and requires far less memory, even though calculations must be performed for a series of discrete wavenumbers. Thus it becomes practicable to carry out investigative study of train-induced ground vibration. The boundary-element implementation uses a variable transformation to solve the well-known problem of strongly singular integrals in the formulation. A ‘boundary truncation element’ greatly improves accuracy where the infinite surface of the ground is truncated in the boundary-element discretization. Predictions of vibration response on the ground surface due to a unit force applied at the track are performed for two railway tunnels. The results show a substantial difference in the environmental vibration that could be expected from the alternative designs. The effect of a moving load is demonstrated in a surface vibration example in which vibration propagates from an embankment into layered ground.

This record has no associated files available for download.

More information

Published date: 8 July 2005
Keywords: railway, tunnels, ground vibration, model, finite elements, boundary elements

Identifiers

Local EPrints ID: 28421
URI: http://eprints.soton.ac.uk/id/eprint/28421
ISSN: 1364-5021
PURE UUID: 6e6d844c-fd1b-4d80-bac9-8f625f74ce94
ORCID for D.J. Thompson: ORCID iD orcid.org/0000-0002-7964-5906

Catalogue record

Date deposited: 05 May 2006
Last modified: 16 Mar 2024 02:54

Export record

Altmetrics

Contributors

Author: X. Sheng
Author: C.J.C. Jones
Author: D.J. Thompson ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×