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Finite element prediction of wave motion in structural waveguides

Finite element prediction of wave motion in structural waveguides
Finite element prediction of wave motion in structural waveguides
A method is presented by which the wavenumbers for a one-dimensional waveguide can be predicted from a finite element (FE) model. The method involves postprocessing a conventional, but low order, FE model, the mass and stiffness matrices of which are typically found using a conventional FE package. This is in contrast to the most popular previous waveguide/FE approach, sometimes termed the spectral finite element approach, which requires new spectral element matrices to be developed. In the approach described here, a section of the waveguide is modeled using conventional FE software and the dynamic stiffness matrix formed. A periodicity condition is applied, the wavenumbers following from the eigensolution of the resulting transfer matrix.
The method is described, estimation of wavenumbers, energy, and group velocity discussed, and numerical examples presented. These concern wave propagation in a beam and a simply supported plate strip, for which analytical solutions exist, and the more complex case of a viscoelastic laminate, which involves postprocessing an ANSYS FE model. The method is seen to yield accurate results for the wavenumbers and group velocities of both propagating and evanescent waves.
0001-4966
2835-2843
Mace, Brian R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Duhamel, Denis
94e38c8d-db20-4215-832d-10a24e473956
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Hinke, Lars
486fa594-35f9-4098-b63e-6f8d4a78899f
Mace, Brian R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Duhamel, Denis
94e38c8d-db20-4215-832d-10a24e473956
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Hinke, Lars
486fa594-35f9-4098-b63e-6f8d4a78899f

Mace, Brian R., Duhamel, Denis, Brennan, Michael J. and Hinke, Lars (2005) Finite element prediction of wave motion in structural waveguides. Journal of the Acoustical Society of America, 117 (5), 2835-2843. (doi:10.1121/1.1887126).

Record type: Article

Abstract

A method is presented by which the wavenumbers for a one-dimensional waveguide can be predicted from a finite element (FE) model. The method involves postprocessing a conventional, but low order, FE model, the mass and stiffness matrices of which are typically found using a conventional FE package. This is in contrast to the most popular previous waveguide/FE approach, sometimes termed the spectral finite element approach, which requires new spectral element matrices to be developed. In the approach described here, a section of the waveguide is modeled using conventional FE software and the dynamic stiffness matrix formed. A periodicity condition is applied, the wavenumbers following from the eigensolution of the resulting transfer matrix.
The method is described, estimation of wavenumbers, energy, and group velocity discussed, and numerical examples presented. These concern wave propagation in a beam and a simply supported plate strip, for which analytical solutions exist, and the more complex case of a viscoelastic laminate, which involves postprocessing an ANSYS FE model. The method is seen to yield accurate results for the wavenumbers and group velocities of both propagating and evanescent waves.

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Published date: 2005

Identifiers

Local EPrints ID: 28025
URI: http://eprints.soton.ac.uk/id/eprint/28025
ISSN: 0001-4966
PURE UUID: 93c14702-d6c1-4203-a928-28d64d596606
ORCID for Brian R. Mace: ORCID iD orcid.org/0000-0003-3312-4918

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Date deposited: 28 Apr 2006
Last modified: 15 Mar 2024 07:22

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Contributors

Author: Brian R. Mace ORCID iD
Author: Denis Duhamel
Author: Michael J. Brennan
Author: Lars Hinke

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