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

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.

[1]  Hisashi Kobayashi,et al.  Modeling and analysis , 1978 .

[2]  C. Bernardi.  Optimal finite-element interpolation on curved domains , 1989 .

[3]  R. Dautray,et al.  Analyse mathématique et calcul numérique pour les sciences et les techniques , 1984 .

[4]  Alain Bossavit,et al.  Edge-element computation of the force field in deformable bodies , 1992 .

[5]  C. Bernardi,et al.  A New Nonconforming Approach to Domain Decomposition : The Mortar Element Method , 1994 .

[6]  Francesca Rapetti,et al.  Eddy-current calculations in three-dimensional moving structures , 2002 .

[7]  Yvon Maday,et al.  A spectral element methodology tuned to parallel implementations , 1994 .

[8]  T. Kumano,et al.  Modelling eddy currents induced by rotating systems , 1998 .

[9]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[10]  Francesca Rapetti,et al.  The Mortar Edge Element Method in Three Dimensions: Application to Magnetostatics , 2002, SIAM J. Sci. Comput..

[11]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[12]  V. Girault,et al.  Vector potentials in three-dimensional non-smooth domains , 1998 .

[13]  Francesca Rapetti,et al.  Simulation of a magneto-mechanical damping machine: analysis, discretization, results☆ , 2002 .

[14]  F. BEN BELGACEM,et al.  The Mortar Finite Element Method for 3D Maxwell Equations: First Results , 2001, SIAM J. Numer. Anal..

[15]  Zhuoxiang Ren,et al.  SIMULATION OF AN ELECTROMAGNETIC ACTUATOR BY A COUPLED MAGNETO‐MECHANICAL MODELLING , 1995 .

[16]  Philippe G. Ciarlet,et al.  The finite element method for elliptic problems , 2002, Classics in applied mathematics.