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Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain

P.D. Ledger, A.J. Gil, R. Poya, M. Kruip, I. Wilkinson, S. Bagwell, Paul Ledger, Antonio Gil Orcid Logo, Roman Poya

Applied Mathematical Modelling, Volume: 40, Issue: 3, Pages: 1959 - 1971

Swansea University Authors: Paul Ledger, Antonio Gil Orcid Logo, Roman Poya

Abstract

Eddy currents are generated when low frequency magnetic fields interact with conducting components and this, in turn, generates Lorentz forces, which can cause these metallic components to deform and vibrate. An important application of this magneto–mechanical coupling is in coil design for magnetic...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa23807
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spelling 2018-04-24T12:28:10.8215572 v2 23807 2015-10-15 Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 78a0edf15d689ba83c9929767ab93587 Roman Poya Roman Poya true false 2015-10-15 FGSEN Eddy currents are generated when low frequency magnetic fields interact with conducting components and this, in turn, generates Lorentz forces, which can cause these metallic components to deform and vibrate. An important application of this magneto–mechanical coupling is in coil design for magnetic resonance imaging scanners, where such vibrations can have unwanted effects such as ghosting of images, reduction of the life span of devices and discomfort for the patient. This work is aimed at developing an accurate computational tool for better understanding these deformations by considering a benchmark problem proposed by Siemens plc (Kruip, personal communication, 2013) on an idealised axisymmetric geometry. We present a new fixed point algorithm and develop new weak variational statements, which use a stress tensor approach for force calculation and permit discretisation using H1 conforming hp-version finite elements. Numerical results are included, which show the importance of high order finite elements for predicting the eddy currents and the associated coupling in the resonance region. Journal Article Applied Mathematical Modelling 40 3 1959 1971 0307-904X Magneto–mechanical coupling; hp-finite elements; Axisymmetric geometry; MRI scanners 1 2 2015 2015-02-01 10.1016/j.apm.2015.09.030 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2018-04-24T12:28:10.8215572 2015-10-15T14:35:55.2343617 College of Engineering Engineering P.D. Ledger 1 A.J. Gil 2 R. Poya 3 M. Kruip 4 I. Wilkinson 5 S. Bagwell 6 Paul Ledger 7 Antonio Gil 0000-0001-7753-1414 8 Roman Poya 9 0023807-27042017142726.pdf Ledger2016v3.pdf 2017-04-27T14:27:26.7870000 Output 870850 application/pdf Version of Record true 2017-04-27T00:00:00.0000000 true eng
title Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
spellingShingle Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
Paul Ledger
Antonio Gil
Roman Poya
title_short Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
title_full Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
title_fullStr Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
title_full_unstemmed Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
title_sort Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain
author_id_str_mv 068dd31af167bcda33878951b2a01e97
1f5666865d1c6de9469f8b7d0d6d30e2
78a0edf15d689ba83c9929767ab93587
author_id_fullname_str_mv 068dd31af167bcda33878951b2a01e97_***_Paul Ledger
1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
78a0edf15d689ba83c9929767ab93587_***_Roman Poya
author Paul Ledger
Antonio Gil
Roman Poya
author2 P.D. Ledger
A.J. Gil
R. Poya
M. Kruip
I. Wilkinson
S. Bagwell
Paul Ledger
Antonio Gil
Roman Poya
format Journal article
container_title Applied Mathematical Modelling
container_volume 40
container_issue 3
container_start_page 1959
publishDate 2015
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2015.09.030
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
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description Eddy currents are generated when low frequency magnetic fields interact with conducting components and this, in turn, generates Lorentz forces, which can cause these metallic components to deform and vibrate. An important application of this magneto–mechanical coupling is in coil design for magnetic resonance imaging scanners, where such vibrations can have unwanted effects such as ghosting of images, reduction of the life span of devices and discomfort for the patient. This work is aimed at developing an accurate computational tool for better understanding these deformations by considering a benchmark problem proposed by Siemens plc (Kruip, personal communication, 2013) on an idealised axisymmetric geometry. We present a new fixed point algorithm and develop new weak variational statements, which use a stress tensor approach for force calculation and permit discretisation using H1 conforming hp-version finite elements. Numerical results are included, which show the importance of high order finite elements for predicting the eddy currents and the associated coupling in the resonance region.
published_date 2015-02-01T03:34:16Z
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