The in-vessel structures of tokamak devices sustain large electromagnetic force due to both induced eddy current and halo current. The coupling effect between the electromagnetic field and the mechanical vibration of the structures has a significant influence on the structural dynamic response. To assess the coupled mechanical behavior of in-vessel structures, a numerical method was proposed in this article based on the hybrid finite-element method and boundary-element method. The plasma current and halo current were modeled as a series of current filaments and a pair of current source–sink, respectively. To deal with the nonlinearity due to the coupling term of the magnetic flux density and the velocity, the block Gauss–Seidel iterative algorithm was adopted in the numerical method. The proposed numerical method was first validated against the experimental data of the TEAM 16 benchmark problem and then applied to the dynamic analysis of a simplified halo current problem of typical tokamak structures. The numerical method was proved both effective and numerically stable for the analysis of magnetomechanical coupled problem based on the reasonable simulation results.

中文翻译：

---

一种稳定的 FEM-BEM 混合方法，用于对具有电感和传导电流激励的磁机械耦合问题进行数值模拟，旨在应用于托卡马克容器结构

由于感应涡流和晕流，托卡马克装置的容器内结构承受很大的电磁力。电磁场与结构机械振动的耦合效应对结构的动力响应有显着影响。为了评估船内结构的耦合力学行为，本文提出了一种基于混合有限元法和边界元法的数值方法。等离子体电流和光晕电流分别被建模为一系列电流灯丝和一对电流源 - 汇。为解决磁通密度与速度耦合项引起的非线性问题，数值方法采用分块Gauss-Seidel迭代算法。所提出的数值方法首先针对 TEAM 16 基准问题的实验数据进行了验证，然后应用于典型托卡马克结构的简化光晕电流问题的动力学分析。基于合理的模拟结果，证明了该数值方法对于磁力耦合问题的分析既有效又数值稳定。