Simulation of a magneto-mechanical damping machine: analysis, discretization, resultsq F. Bouillaulta, A. Bu?ab, Y. Madayc,*, F. Rapettid,a a LGEP-UMR 8507 CNRS, Plateau de Moulon, 91192 Gif-Sur-Yvette, France b IAN-CNR, Via Ferrata 1, 27100 Pavia, Italy c LAN-UMR 7583 CNRS, University of Paris VI, 4 Place Jussieu 75252 Paris, France d ASCI-UPR 9029 CNRS, Bat. 506, University of Paris XI, 91403 Orsay, France Received 20 July 2001; accepted 19 November 2001 Abstract This paper presents and analyzes a method for the simulation of the dynamical behavior of a coupled magneto- mechanical system such as a damping machine. We consider a two-dimensional model based on the transverse magnetic formulation of the eddy currents problem for the electromagnetic part and on the motion equation of a rotating rigid body for the mechanical part. The magnetic system is discretized in space by means of Lagrangian finite elements and the sliding mesh mortar method is used to account for the rotation. In time, a one step Euler method is used, implicit for the magnetic and velocity equations. The coupled di?erential system is solved with an explicit procedure. 2002 Elsevier Science B.V. All rights reserved. Keywords: Domain decomposition method; Magneto-mechanical coupled problem; Non-conforming finite element approximation; Mortar element method; Moving systems 1.
- tm ?
- curl2?mcurl2az? ? curl2
- transverse magnetic
- problem
- problem has
- been first
- magnetic vector
- z? such
- magneto-mechanical coupled
- mechanical part