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首页> 外文期刊>Applied Mathematical Modelling >Solution of an industrially relevant coupled magneto-mechanical problem set on an axisymmetric domain
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Solution of an industrially relevant coupled magneto-mechanical problem set on an axisymmetric domain

机译：轴对称域上与工业相关的耦合磁机械问题集的解

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摘要

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 H~1 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.
机译：当低频磁场与导电部件相互作用时会产生涡流，进而产生洛伦兹力，洛伦兹力会导致这些金属部件变形和振动。这种磁机械耦合的重要应用是在磁共振成像扫描仪的线圈设计中，这种振动会产生不良影响，例如图像重影，设备使用寿命缩短以及患者不适。这项工作旨在开发一种精确的计算工具，通过考虑西门子公司（Kruip，personal communication，2013）针对理想的轴对称几何提出的基准问题，从而更好地理解这些变形。我们提出了一种新的定点算法，并开发了新的弱变分语句，该语句使用应力张量方法进行力计算，并允许使用符合H〜1的hp版本有限元进行离散化。包括了数值结果，这些结果表明了高阶有限元对于预测涡流及其在共振区域中的相关耦合的重要性。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第3期|1959-1971|共13页
  • 作者

    Paul David Ledger; Antonio J. Gil; Roman Poya; Marcel Kruip; Ian Wilkinson; Scott Bagwell;

  • 作者单位

    Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University Bay Campus, Crymlyn Burrows, Swansea SA1 8EN, UK;

    Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University Bay Campus, Crymlyn Burrows, Swansea SA1 8EN, UK;

    Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University Bay Campus, Crymlyn Burrows, Swansea SA1 8EN, UK;

    Siemens plc, Healthcare Sector, MR Magnet Technology, Wharf Road, Eynsham, Witney, Oxon OX29 4BP, UK;

    Siemens plc, Healthcare Sector, MR Magnet Technology, Wharf Road, Eynsham, Witney, Oxon OX29 4BP, UK;

    Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University Bay Campus, Crymlyn Burrows, Swansea SA1 8EN, UK;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Magneto-mechanical coupling; hp-finite elements; Axisymmetric geometry; MRI scanners;

    机译：磁机械耦合;hp有限元;轴对称几何;MRI扫描仪;

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