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Reduced order modelling using neural networks for predictive modelling of 3d-magneto-mechanical problems with application to magnetic resonance imaging scanners

S. Miah, YASHWANTH SOORIYAKANTHAN, P. D. Ledger Orcid Logo, Antonio Gil Orcid Logo, M. Mallett

Engineering with Computers, Volume: 39, Issue: 6, Pages: 4103 - 4127

Swansea University Authors: YASHWANTH SOORIYAKANTHAN, Antonio Gil Orcid Logo

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Abstract

The design of magnets for Magnetic Resonance Imaging (MRI) scanners requires the numerical simulation of a coupled magneto-mechanical system where the effects that different material parameters and in-service loading conditions have on both imaging and MRI performance are key to aid with the design...

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Published in: Engineering with Computers
ISSN: 0177-0667 1435-5663
Published: Springer Science and Business Media LLC 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa63764
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Abstract: The design of magnets for Magnetic Resonance Imaging (MRI) scanners requires the numerical simulation of a coupled magneto-mechanical system where the effects that different material parameters and in-service loading conditions have on both imaging and MRI performance are key to aid with the design and the manufacturing process. To correctly capture the complex physics, and to obtain accurate solutions, finite element simulations with dense meshes and high order elements are needed. Reduced Order Model approaches, based on the established Proper Orthogonal Decomposition (POD) approach, are attractive as they can rapidly predict the numerical simulations needed under changing parameters or conditions. However, the projected (PODP) approach has an invasive computationalimplementation, whilst the interpolated (PODI) approach presents challenges when the dimension of the space of parameters to be investigated becomes large. As an alternative, we investigate a POD technique based on using a Neural Network regression, which is not as invasive as PODP, but has superior approximation properties compared to PODI. We apply this to the coupled magneto-mechanical system to understand three pressing industrial problems: firstly, the accurate and rapid computation of the resonant frequencies associated with this coupled magneto-mechanical system,secondly, the effects of magnet motion on the Ohmic power and kinetic energy curves, and, thirdly, the prediction of the uncertainty in Ohmic power and kinetic energy curves as a function of exciting frequency for uncertain material parameters.
Keywords: Magneto-mechanical coupling; Magnetic resonance imaging; Neural networks; Machine learning; Proper orthogonal decomposition; Reduced order model
College: Faculty of Science and Engineering
Funders: The authors are grateful for the financial support received from EPSRC CASE Award Studentships in partnership with Siemens Healthineers, which are supporting S. Miah and Y. Sooriyakanthan.
Issue: 6
Start Page: 4103
End Page: 4127