Original scientific paper

Dynamic Nonlinear Temperature Field in a Ferromagnetic Plate Induced by High Frequency Electromagnetic Waves

Vesna MILOŠEVIĆ MITIĆ ; aculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia
Dražan KOZAK ; Mechanical Engineering Faculty, J. J. Strossmayer University of Osijek, Slavonski Brod, Croatia
Taško MANESKI ; aculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia
Nina ANĐELIĆ ; aculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia
Branka GAĆEŠA ; aculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia
Marinko STOJKOV ; Mechanical Engineering Faculty, J. J. Strossmayer University of Osijek, Slavonski Brod, Croatia

Abstract

The subject of this paper is the thermal-behavior of an elastic metallic plate
influenced by several harmonic electromagnetic plane waves at the upper
and lower surfaces. The direction of wave propagation is normal to the
surfaces of the plate. As a result of a time-varying electromagnetic field
conducting currents appear in the plate. Distributions of eddy-currents
and hysterisis power losses across the plate thickness are obtained using
complex analysis. It is of the exponential type and depends on the plate
thickness, wave frequency, electric conductivity, magnetic permeability
and magnetic intensity. By treating this power as a volume heat source,
differential equations governing distribution of the temperature field are
formulated. The temperature field across the plate thickness is assumed to
be in nonlinear form and a system of three coupled differential equations
governing the temperature field is formed. Equations are solved in analytical
form using the integral-transformation technique (Double Fourier finite-
sine transformation and Laplace transformation). The influence of the
skin depth, plate thickness, wave frequency and characteristic times of
an impulse on the dynamic temperature field are considered. Nonlinear
distribution of the temperature across the plate thickness is obtained. Strain
and stress fields are obtained using the finite element method (FEM).
Depending on the plate thickness thin shell finite elements (for a thin plate)
or volume finite elements (for a thick plate) were applied.

Keywords

Electromagnetic field; Ferromagnetic plate; High frequency wave; Temperature

Hrčak ID:

56739

URI

https://hrcak.srce.hr/56739

Publication date:

30.4.2010.

Article data in other languages: croatian

Visits: 1.999 *