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Wave transmission through two-dimensional structures by the hybrid FE/WFE approach

Wave transmission through two-dimensional structures by the hybrid FE/WFE approach
Wave transmission through two-dimensional structures by the hybrid FE/WFE approach
The knowledge of the wave transmission and reflection characteristics in connected two-dimensional structures provides the necessary background for many engineering prediction methodologies. Extensive efforts have previously been exerted to investigate the propagation of waves in two-dimensional periodic structures. This work focuses on the analysis of the wave propagation and the scattering properties of joined structures comprising of two or more plates. The joint is modelled using the finite element (FE) method whereas each (of the joined) plate(s) is modelled using the wave and finite element (WFE) method. This latter approach is based on post-processing a standard FE model of a small segment of the plate using periodic structure theory; the FE model of the segment can be obtained using any commercial/in-house FE package. Stating the equilibrium and continuity conditions at the interfaces and expressing the motion in the plates in terms of the waves in each plate yield the reflection and transmission matrices of the joint. These can then be used to obtain the response of the whole structure, as well as investigating the frequency and
incidence dependence for the flow of power in the system.
0022-460X
484-501
Mitrou, Giannoula
4e18187d-3171-4edd-ac6c-892c7b0e5bd2
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Renno, Jamil
132f3c49-a612-4ccc-8772-293c8e015d1c
Mitrou, Giannoula
4e18187d-3171-4edd-ac6c-892c7b0e5bd2
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Renno, Jamil
132f3c49-a612-4ccc-8772-293c8e015d1c

Mitrou, Giannoula, Ferguson, Neil and Renno, Jamil (2016) Wave transmission through two-dimensional structures by the hybrid FE/WFE approach. Journal of Sound and Vibration, 389, 484-501. (doi:10.1016/j.jsv.2016.09.032).

Record type: Article

Abstract

The knowledge of the wave transmission and reflection characteristics in connected two-dimensional structures provides the necessary background for many engineering prediction methodologies. Extensive efforts have previously been exerted to investigate the propagation of waves in two-dimensional periodic structures. This work focuses on the analysis of the wave propagation and the scattering properties of joined structures comprising of two or more plates. The joint is modelled using the finite element (FE) method whereas each (of the joined) plate(s) is modelled using the wave and finite element (WFE) method. This latter approach is based on post-processing a standard FE model of a small segment of the plate using periodic structure theory; the FE model of the segment can be obtained using any commercial/in-house FE package. Stating the equilibrium and continuity conditions at the interfaces and expressing the motion in the plates in terms of the waves in each plate yield the reflection and transmission matrices of the joint. These can then be used to obtain the response of the whole structure, as well as investigating the frequency and
incidence dependence for the flow of power in the system.

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Mitrou_revised_2.pdf - Accepted Manuscript
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More information

Accepted/In Press date: 26 September 2016
e-pub ahead of print date: 25 November 2016
Organisations: Inst. Sound & Vibration Research

Identifiers

Local EPrints ID: 401526
URI: http://eprints.soton.ac.uk/id/eprint/401526
ISSN: 0022-460X
PURE UUID: 268ff0af-0f45-4179-8885-9fb400a81b7b
ORCID for Neil Ferguson: ORCID iD orcid.org/0000-0001-5955-7477

Catalogue record

Date deposited: 14 Oct 2016 14:11
Last modified: 17 Dec 2019 06:36

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