摘要
借助并矢分析,分别采用加权余量法和变分法,推导出了三维非线性各向异性静磁场的矢量位有限元方程的一般计算公式.推导过程及结果简单明了,易于程序编制和调试,并由此获得三维线性各向同性、线性各向异性和非线性各向同性静磁场的矢量位有限元方程的计算公式.
The 3D finite element vector potential equations of non-linear anisotropic magnetostatic field have been derived in a pithy style by dyadic analysis. The general formulations of stiffness matrix and right column matrix are obtained, from which, we can get FEM formulations of linear and non—linear isotropic magnetostatic problems. In order to estabish FEM equations, the weighted residual method and vanational method are used in this paper, the same results have been gotten by them. The Newton—Raphson method is applied to solv non—linear problem in this paper.
关键词
有限元
静磁场
三维非线性
non-linear
anisotropie
magnetostatic field
finite element