摘要
为了解决电气工程与电磁散射和辐射领域中常遇到电磁场开域问题,对基于边界棱边元的混合有限元边界元法在开域静磁场计算中的应用进行了研究.在铁磁区采用标量磁位,空气区采用磁场强度矢量H,利用棱边单元离散边界面,将边界上H的切向分量用线性函数离散,法向分量设为常数.通过对不同媒质交界面处磁场连续性条件的处理,推导出铁磁区中的标量磁位与自由空间中的H在交界面处耦合的条件,进而推导出开域静磁场的有限元与边界元耦合算法.在以上分析的基础上编制了相应的FEM-BEM分析软件,采用MSC.Patran软件对铁磁体进行剖分,将剖分的体单元、面单元与节点的信息以文本的形式输出,然后用该软件进行读取.仿真计算的结果与解析值相比精度较高,说明本方法对开域静磁场问题有较好的适用性.
To solve open boundary magnetostatic problems required study of the application of the hybrid finite element-boundary element method based on the boundary edge element in open boundary magnetostatic problems. The scalar potential was used in the ferromagnetic region and the magnetic field strength vector H was used in free space. The boundary surface was discretized by edge elements. It was assumed that the tangential component of H is linear and the normal component of H is constant. Through the continuity condition on the interface, the term of coupling between the full scalar potentials in the ferromagnetic field of H in free space was deduced, and the coupling formulation of hybrid FEM-BEM was derived. Then the software FEM-BEM was developed. The software MSC. Patran was used to mesh the ferromagnetic bodies, the data on body cells, surface cells and nodes was in the form of text, and was read by the software FEM-BEM. In the simulation of ferromagnetism, the calculated results matched well with the analytic results. A conclusion was drawn that the method is suitable for calculations of open boundary magnetostatic problems.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2009年第11期1311-1316,共6页
Journal of Harbin Engineering University
关键词
有限元-边界元法
标量磁位
棱边单元
开域静磁场
FEM-BEM
scalar potentials
edge elements
open boundary magnetostatic problems
