Sun Xiankun, Liu He, Song Wanqing, Villecco Francesco
School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China.
Department of Industrial Engineering, University of Salerno Via Giovanni Paolo II 132, 84084 Fisciano, Italy.
Entropy (Basel). 2020 Aug 28;22(9):947. doi: 10.3390/e22090947.
In this paper is given a three-dimensional numerical simulation of the eddy current welding of rails where the longitudinal two directions are not ignored. In fact, usually it is considered a model where, in the two-dimensional numerical simulation of rail heat treatment, the longitudinal directions are ignored for the magnetic induction strength and temperature, and only the axial calculation is performed. Therefore, we propose the electromagnetic-thermal coupled three-dimensional model of eddy current welding. The induced eddy current heat is obtained by adding the z-axis spatial angle to the two-dimensional electromagnetic-thermal, thus obtaining some new results by coupling the numerical simulation and computations of the electric field and magnetic induction intensity of the three-dimensional model. Moreover, we have considered the objective function into a weak formulation. The three-dimensional model is then meshed by the finite element method. The electromagnetic-thermal coupling has been numerically computed, and the parametric dependence to the eddy current heating process has been fully studied. Through the numerical simulation with different current densities, frequencies, and distances, the most suitable heat treatment process of U75V rail is obtained.
本文给出了一种铁轨涡流焊接的三维数值模拟,其中纵向两个方向不可忽略。实际上,在铁轨热处理的二维数值模拟中,通常考虑的模型是忽略磁感应强度和温度的纵向方向,仅进行轴向计算。因此,我们提出了涡流焊接的电磁-热耦合三维模型。通过在二维电磁-热模型中加入z轴空间角度来获得感应涡流热,从而通过三维模型的电场和磁感应强度的数值模拟与计算耦合得到一些新结果。此外,我们将目标函数转化为弱形式。然后用有限元方法对三维模型进行网格划分。对电磁-热耦合进行了数值计算,并充分研究了对涡流加热过程的参数依赖性。通过不同电流密度、频率和距离的数值模拟,得到了U75V铁轨最合适的热处理工艺。