Applications of the Mortar Element Method to 3D Electromagnetic Moving Structures

摘要

This paper deals with the modelling, the analysis and a numerical approach for the simulation of the dynamical behavior of a three-dimensional coupled magneto-mechanical system such as a damping machine. The model is based on the electric formulation of the eddy currents problem for the electromagnetic part and on the motion equation of a rotating rigid body for the mechanical part. For the approximation, the magnetic system is discretized in space by means of edge elements and the sliding mesh mortar element method is used to account for the rotation. In time, a one step Euler method is used, implicit for the magnetic and velocity equations and explicit for the rotation angle. The coupled differential system can then be solved with an explicit procedure. Here, we analyse the well-posedness of the continuous problem and give some details on its discretization.