对于滑动电接触问题,以矢量磁位A和时间积分标量电位V为变量,采用棱边单元法,选择v·A=0作为树规范,可在A和V均连续的情况下,同时满足磁场强度H、磁感应强度B、电场强度E和电流密度J的分界面连续条件。采用罚函数保证轨道电流流入端口的边界条件,采用自由度平移法处理运动问题保证求解区域不变,最终建立了电磁轨道发射装置的二维有限元数值计算模型。模型计算结果与D.Rodge的模型计算值的对比分析结果验证了该模型的正确性。
For electrical sliding problems,edge elements can satisfy the interface condition of magnetic field intensity H,magnetic flux density B,electric field strength Eand current density Jautomatically with continuous time integrated electric scalar potential V and magnetic vector potential A,when the v·A=0is chosen as the tree-gauge.Shifted degree of freedoms(DOFs)method is used to deal with motion.The governing equations are derived by penalty method to keep zero tangential component of J on current inlet surface of rail.By those methods,the finite element model with motion considered is derived by the edge element method which keeps the invariability of computational domains.The finite element model of electromagnetic rail launchers in two dimensional is established.The computational results of the model are compared and analyzed with the D.Rodge′s models,and the comparison results verify the method.The method is aneffective technological means for electromagnetic rail launcher optimization design.