Non-conforming sliding interfaces can be used in finite element (FE) simulations for the flexible implementation of the relative motion between stator and rotor of e.g. electrical machines. Lagrange multipliers are applied to ensure the continuity of the field across the non-conforming interface. A previously proposed approach is extended by time stepping methods to consider eddy-currents. In this paper, the formulation is presented and applied to a benchmark problem to validate the approach.
LangeE., HenrotteF. and HameyerK., A variational formulation for nonconforming sliding interfaces in finite element analysis of electric machines, IEEE Transactions on Magnetics46(8) (2010), 2755-2758.
2.
BelgacemF.B., The Mortar finite element method with Lagrange multipliers, Numerische Mathematik84(2) (1999), 173-197.
3.
ChristopheA., SantandreaL., RapettiF., KrebsG. and Le BihanY., An overlapping nonmatching grid mortar element method for maxwell's equations, IEEE Transactions on Magnetics50(2) (2014), 409-412.
4.
WohlmuthB., A comparison of dual lagrange multiplier spaces for mortar finite element discretizations, ESAIM: Mathematical Modelling and Numerical Analysis36(6) (2002), 995-1012.
5.
BuffaA., MadayY. and RapettiF., A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines, M2AN35(2) (2001), 191-228.
6.
AntunesO., BastosJ., SadowskiN., RazekA., SantandreaL., BouillaultF. and RapettiF., Comparison between nonconforming movement methods, IEEE Transactions on Magnetics42(4) (2006), 559-602.
7.
DavatB., RenZ. and Lajoie-MazencM., The movement in field modeling, IEEE Transactions on MagneticsMAG-21(6) (1985), 2296-2298.
8.
LangeE., HenrotteF. and HameyerK., Biorthogonal shape functions for nonconforming sliding interfaces in 3-d electrical machine fe models with motion, IEEE Transactions on Magnetics48(2) (2012), 855-858.
9.
CarlstedtM., PorzigK., UhligR.P., ZecM., ZiolkowskiM. and BrauerH., Application of Lorentz force eddy current testing and eddy current testing on moving nonmagnetic conductors, International Journal of Applied Electromagnetics and Mechanics45(1-4) (2014), 519-526.