The University of Southampton
University of Southampton Institutional Repository

Modal sensor for axial propagating waves in an infinite in-vacuo pipe

Modal sensor for axial propagating waves in an infinite in-vacuo pipe
Modal sensor for axial propagating waves in an infinite in-vacuo pipe
In an infinite in-vacuo pipe, the radial vibration can be decomposed into an infinite number of circumferential modes. For each mode, there is a right-going and a left-going propagating axial wave. In this paper, a sensor to detect either one of these waves is described. The wave chosen belongs to the first circumferential (n 1/4 2) mode of vibration, and the sensor consists of two PVDF (polyvinylidene fluoride) elements shaped in the form of sine and cosine functions. Two elements are required because the orientation of the wave at some arbitrary point on the pipe is generally unknown. The relationship between the charge generated on the element to the combination of axial and circumferential bending strains, is established for the case of in-extensional deformation. It is found that a practical sensor is sensitive to higher order modes as well as the n 1/4 2 mode, and this cross-sensitivity is dependent upon the width of the modal sensor. It is shown that the cross-sensitivity is small provided that the width of the modal sensor is less than one third of the wavelength of the propagating wave at the ring frequency. Experimental results are presented to validate the sensor sensitivity equation.
1045-389X
785-792
Variyart, W.
f02a971b-8414-467a-9aaf-e7246e80f9eb
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Variyart, W.
f02a971b-8414-467a-9aaf-e7246e80f9eb
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13

Variyart, W. and Brennan, M.J. (2001) Modal sensor for axial propagating waves in an infinite in-vacuo pipe. Journal of Intelligent Materials Systems and Structures, 12 (11), 785-792. (doi:10.1177/104538901400438073).

Record type: Article

Abstract

In an infinite in-vacuo pipe, the radial vibration can be decomposed into an infinite number of circumferential modes. For each mode, there is a right-going and a left-going propagating axial wave. In this paper, a sensor to detect either one of these waves is described. The wave chosen belongs to the first circumferential (n 1/4 2) mode of vibration, and the sensor consists of two PVDF (polyvinylidene fluoride) elements shaped in the form of sine and cosine functions. Two elements are required because the orientation of the wave at some arbitrary point on the pipe is generally unknown. The relationship between the charge generated on the element to the combination of axial and circumferential bending strains, is established for the case of in-extensional deformation. It is found that a practical sensor is sensitive to higher order modes as well as the n 1/4 2 mode, and this cross-sensitivity is dependent upon the width of the modal sensor. It is shown that the cross-sensitivity is small provided that the width of the modal sensor is less than one third of the wavelength of the propagating wave at the ring frequency. Experimental results are presented to validate the sensor sensitivity equation.

This record has no associated files available for download.

More information

Published date: 2001

Identifiers

Local EPrints ID: 46578
URI: http://eprints.soton.ac.uk/id/eprint/46578
ISSN: 1045-389X
PURE UUID: f9551627-c382-47c3-a18a-4110abd101e6

Catalogue record

Date deposited: 11 Jul 2007
Last modified: 15 Mar 2024 09:24

Export record

Altmetrics

Contributors

Author: W. Variyart
Author: M.J. Brennan

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.

×