The University of Southampton
University of Southampton Institutional Repository

Simplified dispersion relationships for fluid-dominated axisymmetric wave motion in buried fluid-filled pipes

Simplified dispersion relationships for fluid-dominated axisymmetric wave motion in buried fluid-filled pipes
Simplified dispersion relationships for fluid-dominated axisymmetric wave motion in buried fluid-filled pipes
The dispersion characteristics of axisymmetric (n=0) waves offer a way to gain physical insight into the low-frequency vibrational behaviour of underground pipe systems. Whilst these can be found in the literature, they are generally calculated numerically. Coupled equations of motion for the n=0 waves that propagate in a buried fluid-filled pipe are presented in this paper and, from this, an analytical solution is developed for the fluid-dominated (s=1) wavenumber. The effect of the frictional stress at the pipe-soil interface on the dispersion behaviour of the s=1 wave is characterized by adopting a soil loading matrix. Overall, the fluid loading has a greater effect on the propagation wavespeed compared with the soil loading: for metal pipes, the effect of soil loading is negligible; for plastic pipes, however, simply neglecting the effect of soil loading can lead to a considerable underestimation in the calculation of the wavespeed. The wave attenuation increases significantly at higher frequencies regardless of pipe material resulting from the added damping due to radiation into the soil. Theoretical predictions of the s=1 wavenumber are compared with experimental data measured on an MDPE water pipe. The degree of agreement between prediction and experiment makes clear that, although the wavespeed is only slightly affected by the presence of the frictional stress, the frictional stress at the pipe-soil interface needs to be appropriately taken into account for attenuation predictions.
axisymmetric waves, dispersion, buried fluid-filled pipes
0022-460X
386-402
Gao, Yan
23154085-596b-483e-8c31-79916fca87ea
Sui, Fusheng
75e7c653-9188-465d-b695-082fa768d70c
Muggleton, Jennifer
2298700d-8ec7-4241-828a-1a1c5c36ecb5
Yang, Jun
5828a5b9-7410-424f-b546-02d8588393e9
Gao, Yan
23154085-596b-483e-8c31-79916fca87ea
Sui, Fusheng
75e7c653-9188-465d-b695-082fa768d70c
Muggleton, Jennifer
2298700d-8ec7-4241-828a-1a1c5c36ecb5
Yang, Jun
5828a5b9-7410-424f-b546-02d8588393e9

Gao, Yan, Sui, Fusheng, Muggleton, Jennifer and Yang, Jun (2016) Simplified dispersion relationships for fluid-dominated axisymmetric wave motion in buried fluid-filled pipes. Journal of Sound and Vibration, 375, 386-402. (doi:10.1016/j.jsv.2016.04.012).

Record type: Article

Abstract

The dispersion characteristics of axisymmetric (n=0) waves offer a way to gain physical insight into the low-frequency vibrational behaviour of underground pipe systems. Whilst these can be found in the literature, they are generally calculated numerically. Coupled equations of motion for the n=0 waves that propagate in a buried fluid-filled pipe are presented in this paper and, from this, an analytical solution is developed for the fluid-dominated (s=1) wavenumber. The effect of the frictional stress at the pipe-soil interface on the dispersion behaviour of the s=1 wave is characterized by adopting a soil loading matrix. Overall, the fluid loading has a greater effect on the propagation wavespeed compared with the soil loading: for metal pipes, the effect of soil loading is negligible; for plastic pipes, however, simply neglecting the effect of soil loading can lead to a considerable underestimation in the calculation of the wavespeed. The wave attenuation increases significantly at higher frequencies regardless of pipe material resulting from the added damping due to radiation into the soil. Theoretical predictions of the s=1 wavenumber are compared with experimental data measured on an MDPE water pipe. The degree of agreement between prediction and experiment makes clear that, although the wavespeed is only slightly affected by the presence of the frictional stress, the frictional stress at the pipe-soil interface needs to be appropriately taken into account for attenuation predictions.

Text
jmgy accepted paper.docx - Accepted Manuscript
Download (817kB)

More information

Accepted/In Press date: 12 April 2016
e-pub ahead of print date: 25 April 2016
Published date: 4 August 2016
Keywords: axisymmetric waves, dispersion, buried fluid-filled pipes
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 393658
URI: http://eprints.soton.ac.uk/id/eprint/393658
ISSN: 0022-460X
PURE UUID: b9a376c6-03fb-4073-b8b9-c9eeee048dad

Catalogue record

Date deposited: 29 Apr 2016 10:37
Last modified: 15 Mar 2024 05:32

Export record

Altmetrics

Contributors

Author: Yan Gao
Author: Fusheng Sui
Author: Jun Yang

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.

×