三维静磁场双标量位等参元计算及数据前后处理

本文以双标量位法计算三维恒定磁场为理论基础,引入等参元有限元法.在对两种位建立起来的场方程离散处理过程中,把对应于直角坐标系中的实际单元变换到局部坐标系中的标准单元处理,从而推导出适应场域边界较海复杂的20节点和8节点六面体有限元离散公式,据此编制了易于通用化的等参元计算程序.本文采用与六面体等参元有限元计算完全配套的自动数据前后处鲤技术,包括有限元网格自动生成;全域或局部(分材料区域)网格显示检查;能量,电磁力计算;全标量位域及等位线显示;场强显示.使上述方法便于在工程设计中应用.

The Calculation of 3D Magnetostatic Field and Data Pre-and Post-Processing Based on Two Scalar Potentials and lsoparametric Element Method

In this paper,the isoparametric elements method based on the theoretical foundation of using two scalar potentials to calculate 3D magnetostatic field is introduced.During the discretization procedure for the solution of two scalar potentials equations,the practical shape element which is correspond- ing to the global Cartesian coordinate system is transformed into the stand- ard shape element in the local coordinate system and a set of more compli- cated hexahedral finite elements discrete formulas with 20 or 8 nodes which are fit for the boundary of field domains are derived.Thus,a generalized isoparametric element program is compiled.The paper employs automatic data pre-and post-processing techniques which are furnished to hexahedral isoparametric finite elements calculation.The techniques include the automatic 3D finite element mesh generation;full and partial domain mesh display accord- ing to different material properties;magnetic energy and force calculation; displays of the total scalar potential domain and the equipotentials lines and the field strength.This makes it convenient to use the methodinengineering.