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Wave characterization of cylindrical and curved panels using a finite element method

Wave characterization of cylindrical and curved panels using a finite element method
Wave characterization of cylindrical and curved panels using a finite element method
This paper describes a wave finite element method for the numerical prediction of wave characteristics of cylindrical and curved panels. The method combines conventional finite elements and the theory of wave propagation in periodic structures. The mass and stiffness matrices of a small segment of the structure, which is typically modeled using either a single shell element or, especially for laminated structures, a stack of solid elements meshed through the cross-section, are postprocessed using periodicity conditions. The matrices are typically found using a commercial FE package. The solutions of the resulting eigenproblem provide the frequency evolution of the wavenumber and the wave modes. For cylindrical geometries, the circumferential order of the wave can be specified in order to define the phase change that a wave experiences as it propagates across the element in the circumferential direction. The method is described and illustrated by application to cylinders and curved panels of different constructions. These include isotropic, orthotropic, and laminated sandwich constructions. The application of the method is seen to be straightforward even in the complicated case of laminated sandwich panels. Accurate predictions of the dispersion curves are found at negligible computational cost
0001-4966
154-163
Manconi, Elisabetta
8c91c8de-3238-4259-9fb4-ac8d4fec2b2d
Mace, Brian R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Manconi, Elisabetta
8c91c8de-3238-4259-9fb4-ac8d4fec2b2d
Mace, Brian R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe

Manconi, Elisabetta and Mace, Brian R. (2009) Wave characterization of cylindrical and curved panels using a finite element method. Journal of the Acoustical Society of America, 125 (1), 154-163. (doi:10.1121/1.3021418).

Record type: Article

Abstract

This paper describes a wave finite element method for the numerical prediction of wave characteristics of cylindrical and curved panels. The method combines conventional finite elements and the theory of wave propagation in periodic structures. The mass and stiffness matrices of a small segment of the structure, which is typically modeled using either a single shell element or, especially for laminated structures, a stack of solid elements meshed through the cross-section, are postprocessed using periodicity conditions. The matrices are typically found using a commercial FE package. The solutions of the resulting eigenproblem provide the frequency evolution of the wavenumber and the wave modes. For cylindrical geometries, the circumferential order of the wave can be specified in order to define the phase change that a wave experiences as it propagates across the element in the circumferential direction. The method is described and illustrated by application to cylinders and curved panels of different constructions. These include isotropic, orthotropic, and laminated sandwich constructions. The application of the method is seen to be straightforward even in the complicated case of laminated sandwich panels. Accurate predictions of the dispersion curves are found at negligible computational cost

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Published date: January 2009

Identifiers

Local EPrints ID: 79097
URI: http://eprints.soton.ac.uk/id/eprint/79097
ISSN: 0001-4966
PURE UUID: 6e18d60c-3992-4033-991d-198d60b72335
ORCID for Brian R. Mace: ORCID iD orcid.org/0000-0003-3312-4918

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Date deposited: 12 Mar 2010
Last modified: 14 Mar 2024 00:27

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Contributors

Author: Elisabetta Manconi
Author: Brian R. Mace ORCID iD

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