Transient solutions to nonlinear acousto‐magneto‐mechanical coupling for axisymmetric MRI scanner design

Bagwell S.; Ledger P.D.; Gil A.J.; Mallett M.

摘要

Summary > In this work, we simulate the coupled physics describing a magnetic resonance imaging (MRI) scanner by using a higher‐order finite element discretisation and a Newton‐Raphson algorithm. To apply the latter, a linearisation of the nonlinear system of equations is necessary, and we consider two alternative approaches. In the first approach, ie, the <fi>nonlinear approach</fi> , there is no approximation from a physical standpoint, and the linearisation is performed about the current solution. In the second approach, ie, the <fi>linearised approach</fi> , we realise that the MRI problem can be described by small dynamic fluctuations about a dominant static solution and linearise about the latter. The <fi>linearised approach</fi> permits solutions in the frequency domain and provides a computationally efficient way to solve this challenging problem, as it allows the tangent stiffness matrix to be inverted independently of time or frequency. We focus on transient solutions to the coupled system of equations and address the following two important questions: (i) how good is the agreement between the computationally efficient <fi>linearised approach</fi> compared with the intensive <fi>nonlinear approach</fi> and (ii) over what range of MRI operating conditions can the <fi>linearised approach</fi> be expected to provide acceptable results for outputs of interest in an industrial context for MRI scanner design? We include a set of academic and industrially relevant examples to benchmark and illustrate our approach. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”xml：id =“nme5802-abs-abs-0001”> <标题类型=“main” >摘要</ title> >在这项工作中，我们通过使用高阶有限元分离心和牛顿Raphson算法来模拟描述磁共振成像（MRI）扫描仪的耦合物理学。为了应用后者，是必要的非线性系统的线性化，并且我们考虑了两种替代方法。在第一方法中，即<fi>非线性方法</ fi>，没有从物理观点近似，并且对当前解决方案执行线性化。在第二种方法中，即<fi>线性化方法</ fi>，我们意识到MRI问题可以通过关于主导静态解决方案的小动态波动和关于后者线性的。 <fi>线性化方法</ fi>允许在频域中的解决方案，并提供解决这个具有挑战性问题的计算有效的方法，因为它允许切线刚度矩阵独立于时间或频率反转。我们专注于对等式耦合系统的瞬态解决方案并解决以下两个重要问题：（i）与密集的<fi>非线性方法相比，计算有效的<fi>线性化方法之间的协议如何良好</ fi> / fi>和（ii）在什么范围的MRI操作条件下可以预期</ Fi>预期为MRI扫描仪设计的工业背景上的兴趣产出提供可接受的结果？我们包括一套学术和工业相关的例子，可以基准和说明我们的方法。 </ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-20801/'>《International Journal for Numerical Methods in Engineering》</a> <b style="margin: 0 2px;">|</b><span>2018年第2期</span><b style="margin: 0 2px;">|</b><span>共29页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bagwell S.&option=202" target="_blank" rel="nofollow">Bagwell S.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ledger P.D.&option=202" target="_blank" rel="nofollow">Ledger P.D.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Gil A.J.&option=202" target="_blank" rel="nofollow">Gil A.J.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mallett M.&option=202" target="_blank" rel="nofollow">Mallett M.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Zienkiewicz Centre for Computational Engineering College of EngineeringSwansea University Bay CampusSwansea UK;</p> <p>Zienkiewicz Centre for Computational Engineering College of EngineeringSwansea University Bay CampusSwansea UK;</p> <p>Zienkiewicz Centre for Computational Engineering College of EngineeringSwansea University Bay CampusSwansea UK;</p> <p>Siemens Healthcare Ltd.MR Magnet TechnologyWitney Oxon UK;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/6940.html" title="工程数学">工程数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=acousto‐magneto‐mechanical coupling&option=203" rel="nofollow">acousto‐magneto‐mechanical coupling;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=linearisation&option=203" rel="nofollow">linearisation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=MRI scanner&option=203" rel="nofollow">MRI scanner;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=mult ifield systems&option=203" rel="nofollow">mult ifield systems;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Newton methods&option=203" rel="nofollow">Newton methods;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=time integration implicit&option=203" rel="nofollow">time integration implicit;</a> </p> <div class="translation"> 机译：ACOUSTO-MARECALO-COMPLACLE CONGINING;线性化;MRI扫描仪;MULTE IFIELD系统;牛顿方法;时间整合隐含; 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