The University of Southampton
University of Southampton Institutional Repository

On the forced response of waveguides using the wave and finite element method

Renno, Jamil M. and Mace, Brian R. (2010) On the forced response of waveguides using the wave and finite element method Journal of Sound and Vibration, 329, (26), 5474 - 5488. (doi:10.1016/j.jsv.2010.07.009).

Record type: Article


The forced response of waveguides subjected to time harmonic loading is treated. The approach starts with the wave and finite element (WFE) method where a segment of the waveguide is modeled using traditional finite element methods. The mass and stiffness matrices of the segment are used to formulate an eigenvalue problem whose solution yields the wave properties of the waveguide. The WFE formulation is used to obtain the response of the waveguide to a convected harmonic pressure (CHP). Since the Fourier transform of the response to a general excitation is a linear combination of the responses to CHPs, the response to a general excitation can be obtained via an inverse Fourier transform process. This is evaluated analytically using contour integration and the residue theorem. Hence, the approach presented herein enables the response of a waveguide to general loading to be found by: (a) modeling a segment of the waveguide using finite element methods and post-processing it to obtain the wave characteristics, (b) using Fourier transform and contour integration to obtain the wave amplitudes and (c) using the wave amplitudes to find the response at any point in the waveguide. Numerical examples are presented

PDF On_the_forced_response_of_waveguides.pdf - Version of Record
Restricted to Repository staff only
Download (677kB)

More information

e-pub ahead of print date: 10 August 2010
Published date: 20 December 2010
Organisations: Dynamics Group


Local EPrints ID: 300880
ISSN: 0022-460X
PURE UUID: 35487fba-f5ee-4d60-a5c4-ee9beb640641

Catalogue record

Date deposited: 01 Mar 2012 11:20
Last modified: 18 Jul 2017 06:14

Export record



Author: Jamil M. Renno
Author: Brian R. Mace

University divisions

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 supports OAI 2.0 with a base URL of

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.