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Modelling wave propagation in cylinders using a wave/finite element technique

Modelling wave propagation in cylinders using a wave/finite element technique
Modelling wave propagation in cylinders using a wave/finite element technique
The propagation of waves in axisymmetric structures can be modelled using a wave/finite element (WFE) approach. A small, rectangular segment of the structure is modelled using conventional finite element methods, typically using a commercial package. Periodicity conditions are then applied. An eigenvalue problem results, the solutions of which yield the dispersion relations. In this paper the WFE method is applied to cylindrical shells modelled using ANSYS. The circumferential order of the wave can be specified in order to define the phase change a wave experiences as it propagates across the element in the circumferential direction. The resulting eigenproblem then relates the axial wavenumber and frequency. The method is described and illustrated by application to cylinders of different constructions. First a thin, isotropic shell is considered - for this case analytical solutions are available from which the accuracy and efficiency of the method can be demonstrated. A steel cylinder filled with water comprises the second example. The third example concerns a sandwich cylinder with a foam core and orthotropic, laminated skins, for which analytical solutions are not available. The method is seen to be simple in application and provide accurate results with very little computational cost.
8487985122
Sociedad Española de Acústica
Manconi, Elisabetta
8c91c8de-3238-4259-9fb4-ac8d4fec2b2d
Mace, Brian R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Calvo-Manzano, Antonio
Pérez-López, Antonio
Santiago, Salvador
Manconi, Elisabetta
8c91c8de-3238-4259-9fb4-ac8d4fec2b2d
Mace, Brian R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Calvo-Manzano, Antonio
Pérez-López, Antonio
Santiago, Salvador

Manconi, Elisabetta and Mace, Brian R. (2007) Modelling wave propagation in cylinders using a wave/finite element technique. Calvo-Manzano, Antonio, Pérez-López, Antonio and Santiago, Salvador (eds.) In 19th International Congress on Acoustics: Acoustics for the 21st Century. Sociedad Española de Acústica..

Record type: Conference or Workshop Item (Paper)

Abstract

The propagation of waves in axisymmetric structures can be modelled using a wave/finite element (WFE) approach. A small, rectangular segment of the structure is modelled using conventional finite element methods, typically using a commercial package. Periodicity conditions are then applied. An eigenvalue problem results, the solutions of which yield the dispersion relations. In this paper the WFE method is applied to cylindrical shells modelled using ANSYS. The circumferential order of the wave can be specified in order to define the phase change a wave experiences as it propagates across the element in the circumferential direction. The resulting eigenproblem then relates the axial wavenumber and frequency. The method is described and illustrated by application to cylinders of different constructions. First a thin, isotropic shell is considered - for this case analytical solutions are available from which the accuracy and efficiency of the method can be demonstrated. A steel cylinder filled with water comprises the second example. The third example concerns a sandwich cylinder with a foam core and orthotropic, laminated skins, for which analytical solutions are not available. The method is seen to be simple in application and provide accurate results with very little computational cost.

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More information

Published date: 2007
Venue - Dates: 19th International Congress on Acoustics: Acoustics for the 21st Century (ICA2007), Madrid, Spain, 2007-09-03 - 2007-09-07

Identifiers

Local EPrints ID: 50520
URI: http://eprints.soton.ac.uk/id/eprint/50520
ISBN: 8487985122
PURE UUID: 39d60ab3-e871-467f-9b2a-2f3f932bc489
ORCID for Brian R. Mace: ORCID iD orcid.org/0000-0003-3312-4918

Catalogue record

Date deposited: 27 Feb 2008
Last modified: 15 Mar 2024 10:06

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Contributors

Author: Elisabetta Manconi
Author: Brian R. Mace ORCID iD
Editor: Antonio Calvo-Manzano
Editor: Antonio Pérez-López
Editor: Salvador Santiago

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