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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 84
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 192
Non-Linear Field Computation with Hysteresis A. Schiffer and A. Iványi
Department of Information Technology, Pollack Mihály Faculty of Engineering, University of Pécs, Hungary A. Schiffer, A. Iványi, "Non-Linear Field Computation with Hysteresis", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Fifth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 192, 2006. doi:10.4203/ccp.84.192
Keywords: finite element modelling, hysteresis, magnetic force.Summary
In this paper a one-dimensional computational problem has been
introduced with nonlinear hysteresis. The materials have been
modeled with the well-known hysteresis characteristic
between the magnetic field intensity H and the magnetization
M. In the paper a finite element (FE) method is combined
with modeling of ferromagnetic material. Post processing of the
nonlinear field problem yields the investigation of magnetic forces
between the plates. The final purpose is to study the energy losses
and the vibration generated sound due to the magnetic forces.
The goal of this paper is to derive the magnetic field intensity
The governing equations of the FE model can be described by Maxwell's equations
and the following equation yielding
Reducing for the one-dimensional problem in direction z
For the nonlinear material modeling the hysteresis characteristic with function is described as
where H the magnetic field intensity at and
is the value of the magnetization in saturation. For linear material
modeling the relationship
has been used.
_{0}
The model has been applied to a one-dimension problem in the
The magnetic force along
where B is the variation of the magnetic flux density induced
in the material by the magnetic field along the _{y}z direction.
Different numerical techniques have been considered for the time
step process. The solution is calculated by combining a Comsol FE
solver for the time independent, stationary nonlinear problem and a
fixed-point iteration for every time step. In Figure 1 the H
field deformation due to the characteristic between H and
M can be seen, where different H values occurs
different diffusion behavior.
_{0}
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