THERMAL SCIENCE

International Scientific Journal

DYNAMIC TEMPERATURE FIELD IN THE FERROMAGNETIC PLATE INDUCED BY MOVING HIGH FREQUENCY INDUCTOR

ABSTRACT
The subject of the paper is the temperature distribution in the thin metallic ferromagnetic plate influenced by moving linear high frequency induction heater. As a result of high frequency electromagnetic field, conducting currents appear in the part of the plate. Distribution of the eddy-current power across the plate thickness is obtained by use of complex analysis. The influences of the heater frequency, magnetic field intensity and plate thickness on the heat power density were discussed. By treating this power as a moving heat source, differential equations governing distribution of the temperature field are formulated. Temperature across the plate thickness is assumed to be in linear form. Differential equations are analytically solved by using integral-transform technique, Fourier finite-sine and finite-cosine transform and Laplace transform. The influence of the heater velocity to the plate temperature is presented on numerical examples based on theoretically obtained results. [Projekat Ministarstva nauke Republike Srbije, br. TR 35040 i br. TR 35011]
KEYWORDS
PAPER SUBMITTED: 2013-02-16
PAPER REVISED: 2013-07-25
PAPER ACCEPTED: 2013-11-12
PUBLISHED ONLINE: 2014-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI130216173M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Supplement 1, PAGES [S49 - S58]
REFERENCES
  1. Pao, Y.H., Yeh, C.S., A Linear Theory for Soft Ferromagnetic Elastic Solids, Int. J. Enging. Sci, 11 (1973), pp. 415-436
  2. Parkus, H., Electromagnetic Interactions in Elastic Solids, Springer-Verlag, 1979
  3. Nowacki, W., Dynamic problems of thermoelasticity, P.W.N., Warszava, 1970
  4. Čukić, R., Milošević, V., Thermoelastic Vibrations of The Thin Plate Induced by Moving Heat Source, J. of Theoretical and Applied Mechanics 2 (1993), 31, pp. 403-412
  5. Roychoudhury, S.K., Banerjee, M., Magnetoelastic plane waves in rotatingmedia in thermoelasticity of type II, IJMMS, 71 (2004), pp. 3917-3929
  6. Sharma, J.N., PAL, M., Rayleigh-Lamb waves in magneto-thermoelastic homogeneous isotropic plate, Int. J. of Eng. Sci. 42 (2004), pp. 137-155
  7. Milošević, V., Temperature, Strain and Stress Fields Produced by Impulsive Electro-magnetic Radiation in the Thin Metallic Platе, (Presented on XIXth ICTAM, Kyoto 1996), Printed in Facta Universitatis Series "Mechanics, Automatic Control and Robotics", 3 (2002), 12, pp. 405-416
  8. Miloševic-Mitić, V., Kozak, D., Maneski, T., Anđelić, N., Gaćeša, B., Stojkov, M., Dynamic nonlinear temperature field in a ferromagnetic plate induced by high frequency electromagnetic waves, Strojarstvo52, (2010), 2, pp. 115-124
  9. Tian, X., Shen, Y., Generalized magneto-thermoelasticity solved by FEM in time domain, Comput. Methods, (2006), pp. 1621-1627, Springer, The Netherlands
  10. Veljić, D., Perović, M., Sedmak, A., Rakin, M., Trifunović, M., Bajić, N., Bajić, D., A coupled thermo-mechanical model of friction stir welding, Thermal Science, 16 (2012), 2, pp. 527-534
  11. Sheen, H., Yao, Z.Q., Shi, Y.J., Hu, J., Study on temperature field in high frequency induction heating, Acta. Metall. Sin. 19 (2006), 3, pp. 190-196
  12. Milošević-Mitić, V., Maneski, T., TemperatureLoading of a ThinMetallic Plate SubjectedTransversal to Law-FrequencyElectromagneticField, FME TRANSACTIONS, 38 (2010), 2, pp. 95-101
  13. Ivanović, I., Sedmak, A., Miloš, M., Živković, A., Lazić, M., Numerical study of transient three-dimensional heat conduction problem with a moving heat source, Thermal Science, 15 (2011), 1, pp. 257-266
  14. Milošević-Mitić, V., Magneto-thermo-elastic bending of thin plates, Zadužbina Andrejević, Belgrade, 1999

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