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Axisymmetric semi-analytical finite elements for modelling waves in buried/submerged fluid-filled waveguides

Axisymmetric semi-analytical finite elements for modelling waves in buried/submerged fluid-filled waveguides
Axisymmetric semi-analytical finite elements for modelling waves in buried/submerged fluid-filled waveguides
Efficient and accurate predictions of wave propagation are a vital component of wave-based non-destructive interrogation techniques. Although a variety of models are available in the literature, most of them are suited to a particular wave type or a specific frequency regime. In this paper we present a multi-wave model for wave propagation in axisymmetric fluid-filled waveguides, either buried or submerged in a fluid, based on the semi-analytical finite elements. The cross-section is discretised with high-order spectral elements to achieve high efficiency, and the singularities resulting from adopting a Lobatto scheme at the axis of symmetry are handled appropriately. The surrounding medium is modelled with a perfectly matched layer, and a practical rule of choice of its parameters, based only on the material properties and the geometry of the waveguide, is derived. To represent the fluid and the solid-fluid coupling, an acoustic SAFE element and appropriate coupling relationships are formulated. The model is validated against both numerical results from the literature and experiments, and the comparisons show very good agreement. Finally, an implementation of the method in Python is made available with this publication.
0045-7949
327-340
Kalkowski, Michal
6f0d01ef-7f44-459c-82a2-03f9e1275eda
Muggleton, Jennifer
2298700d-8ec7-4241-828a-1a1c5c36ecb5
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Kalkowski, Michal
6f0d01ef-7f44-459c-82a2-03f9e1275eda
Muggleton, Jennifer
2298700d-8ec7-4241-828a-1a1c5c36ecb5
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96

Kalkowski, Michal, Muggleton, Jennifer and Rustighi, Emiliano (2018) Axisymmetric semi-analytical finite elements for modelling waves in buried/submerged fluid-filled waveguides. Computers & Structures, 196, 327-340. (doi:10.1016/j.compstruc.2017.10.004).

Record type: Article

Abstract

Efficient and accurate predictions of wave propagation are a vital component of wave-based non-destructive interrogation techniques. Although a variety of models are available in the literature, most of them are suited to a particular wave type or a specific frequency regime. In this paper we present a multi-wave model for wave propagation in axisymmetric fluid-filled waveguides, either buried or submerged in a fluid, based on the semi-analytical finite elements. The cross-section is discretised with high-order spectral elements to achieve high efficiency, and the singularities resulting from adopting a Lobatto scheme at the axis of symmetry are handled appropriately. The surrounding medium is modelled with a perfectly matched layer, and a practical rule of choice of its parameters, based only on the material properties and the geometry of the waveguide, is derived. To represent the fluid and the solid-fluid coupling, an acoustic SAFE element and appropriate coupling relationships are formulated. The model is validated against both numerical results from the literature and experiments, and the comparisons show very good agreement. Finally, an implementation of the method in Python is made available with this publication.

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Kalkowski_fluid-filled_pipes - Accepted Manuscript
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Accepted/In Press date: 10 October 2017
e-pub ahead of print date: 27 October 2017
Published date: February 2018

Identifiers

Local EPrints ID: 415048
URI: http://eprints.soton.ac.uk/id/eprint/415048
ISSN: 0045-7949
PURE UUID: 1694596d-5fe6-465e-bd1c-f76deb858f75
ORCID for Emiliano Rustighi: ORCID iD orcid.org/0000-0001-9871-7795

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Date deposited: 24 Oct 2017 16:30
Last modified: 17 Dec 2019 05:50

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