The University of Southampton
University of Southampton Institutional Repository

Using the PiP model for fast calculation of vibration from a railway tunnel in a multi-layered half-space

Using the PiP model for fast calculation of vibration from a railway tunnel in a multi-layered half-space
Using the PiP model for fast calculation of vibration from a railway tunnel in a multi-layered half-space
This paper presents a new method for calculating vibration from underground railways buried in a multi-layered half-space. The method assumes that the tunnel’s near-field displacements are controlled by the dynamics of the tunnel and the layer that contains the tunnel, and not by layers further away. Therefore the displacements at the tunnel-soil interface can be calculated using a model of a tunnel embedded in a full space. The Pipe-in-Pipe (PiP) model is used for this purpose, where the tunnel wall and its surrounding ground are modelled as two concentric pipes using elastic continuum theory. The PiP model is computationally efficient on account of uniformity along and around the tunnel. The far-field displacement is calculated by using another computationally efficient model that calculates Green’s functions for a multi-layered half-space using the direct stiffness method. The model is based on the exact solution of Navier’s equations for a horizontally layered half-space in the frequency-wavenumber domain.

The results and computation time of the new method are compared with those of an alternative coupled Finite-Element-Boundary-Element (FE-BE) method that accounts for a tunnel in a multi-layered half-space. It is shown that the results of the two methods are in a good agreement for typical parameter values of a tunnel. The new method is computationally more efficient, i.e. requires significantly less running-time on a personal computer with much less use of memory.
numerical and computational methods in engineering, railway tunnel, vibration, PiP Model, multi-layered half-space, fast calculation
978-3-540-74892-2
136-142
Springer Berlin Heidelberg
Hussein, M.F.M.
3535c131-1710-4edc-a4a1-8fe67dee3f67
Hunt, H.E.M.
00743f03-05d5-4a74-bd25-96cd0679f808
Rikse, L.
c412e89c-4088-443f-b3b2-0ef8871bde26
Gupta, S.
32658b41-cb78-4f2d-8848-f4b2e92e4fc5
Degrande, G.
c79408b0-fe8a-4b0c-a2e2-347ccd2e052a
Talbot, J.P.
6ceb9d4c-db86-403d-9e73-cde2be287645
Francois, S.
116b03f3-42d7-42dc-8115-dc8623a605ed
Schevenels, M.
728db8b2-5d5d-4529-ad99-b624c34bc0cd
Schulte-Werning, Burkhard
Thompson, David
Gautier, Pierre-Etienne
Hanson, Carl
Hemsworth, Brian
Nelson, James
Maeda, Tatsuo
de Vos, Paul
Hussein, M.F.M.
3535c131-1710-4edc-a4a1-8fe67dee3f67
Hunt, H.E.M.
00743f03-05d5-4a74-bd25-96cd0679f808
Rikse, L.
c412e89c-4088-443f-b3b2-0ef8871bde26
Gupta, S.
32658b41-cb78-4f2d-8848-f4b2e92e4fc5
Degrande, G.
c79408b0-fe8a-4b0c-a2e2-347ccd2e052a
Talbot, J.P.
6ceb9d4c-db86-403d-9e73-cde2be287645
Francois, S.
116b03f3-42d7-42dc-8115-dc8623a605ed
Schevenels, M.
728db8b2-5d5d-4529-ad99-b624c34bc0cd
Schulte-Werning, Burkhard
Thompson, David
Gautier, Pierre-Etienne
Hanson, Carl
Hemsworth, Brian
Nelson, James
Maeda, Tatsuo
de Vos, Paul

Hussein, M.F.M., Hunt, H.E.M., Rikse, L., Gupta, S., Degrande, G., Talbot, J.P., Francois, S. and Schevenels, M. (2008) Using the PiP model for fast calculation of vibration from a railway tunnel in a multi-layered half-space. Schulte-Werning, Burkhard, Thompson, David, Gautier, Pierre-Etienne, Hanson, Carl, Hemsworth, Brian, Nelson, James, Maeda, Tatsuo and de Vos, Paul (eds.) In Noise and Vibration Mitigation for Rail Transportation Systems. Springer Berlin Heidelberg. pp. 136-142 . (doi:10.1007/978-3-540-74893-9_19).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents a new method for calculating vibration from underground railways buried in a multi-layered half-space. The method assumes that the tunnel’s near-field displacements are controlled by the dynamics of the tunnel and the layer that contains the tunnel, and not by layers further away. Therefore the displacements at the tunnel-soil interface can be calculated using a model of a tunnel embedded in a full space. The Pipe-in-Pipe (PiP) model is used for this purpose, where the tunnel wall and its surrounding ground are modelled as two concentric pipes using elastic continuum theory. The PiP model is computationally efficient on account of uniformity along and around the tunnel. The far-field displacement is calculated by using another computationally efficient model that calculates Green’s functions for a multi-layered half-space using the direct stiffness method. The model is based on the exact solution of Navier’s equations for a horizontally layered half-space in the frequency-wavenumber domain.

The results and computation time of the new method are compared with those of an alternative coupled Finite-Element-Boundary-Element (FE-BE) method that accounts for a tunnel in a multi-layered half-space. It is shown that the results of the two methods are in a good agreement for typical parameter values of a tunnel. The new method is computationally more efficient, i.e. requires significantly less running-time on a personal computer with much less use of memory.

This record has no associated files available for download.

More information

Published date: 2008
Venue - Dates: Proceedings of the 9th International Workshop on Railway Noise, Munich, Germany, 2007-09-03 - 2007-09-03
Keywords: numerical and computational methods in engineering, railway tunnel, vibration, PiP Model, multi-layered half-space, fast calculation
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 354584
URI: http://eprints.soton.ac.uk/id/eprint/354584
ISBN: 978-3-540-74892-2
PURE UUID: d804ac4b-acf1-416b-b57a-ab57d3ae2189

Catalogue record

Date deposited: 17 Jul 2013 11:07
Last modified: 09 Jan 2022 05:55

Export record

Altmetrics

Contributors

Author: M.F.M. Hussein
Author: H.E.M. Hunt
Author: L. Rikse
Author: S. Gupta
Author: G. Degrande
Author: J.P. Talbot
Author: S. Francois
Author: M. Schevenels
Editor: Burkhard Schulte-Werning
Editor: David Thompson
Editor: Pierre-Etienne Gautier
Editor: Carl Hanson
Editor: Brian Hemsworth
Editor: James Nelson
Editor: Tatsuo Maeda
Editor: Paul de Vos

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.

×