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Magneto-thermo-elastic problem of a conducting rectangular cylinder subjected to sinusoidal change in time of magnetic field

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Abstract

This study is concerned with a magneto-thermo-elastic problem of a conducting rectangular cylinder in an external magnetic field which varies sinusoidally in time. Analytical solutions of eddy currents induced in the cylinder are derived on the basis of a theory of the quasi-stationary current. Two-dimensional transient temperature change produced by the eddy current loss is derived by means of the Green’s function method. The stresses in the infinitely long cylinder in a plane state are derived by making use of the Airy’s stress function. The effect of a frequency in a sinusoidal change in time of the external magnetic field on behaviors of eddy current loss, temperature change and stresses in the cylinder is examined by numerical calculation. The skin effect with an increase in a frequency of the external magnetic field on the transient response of temperature change and stresses in the cylinder is discussed.

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Authors and Affiliations

  1. Department of Mechanical Systems Engineering, University of Miyazaki, 1-1, Gakuen Kibanadai-nishi, Miyazaki, 889-2192, Japan

    Ryuusuke Kawamura, Kiyohiko Ikeda & Hiroyuki Kinoshita

  2. Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuencho, Naka-ku, Sakai, Osaka, 599-8531, Japan

    Koji Sano & Yoshihiro Ootao

  3. Osaka Prefecture University, Sakai, Osaka, Japan

    Yoshinobu Tanigawa

Authors
  1. Ryuusuke Kawamura
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  2. Koji Sano
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  3. Yoshihiro Ootao
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  4. Yoshinobu Tanigawa
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  5. Kiyohiko Ikeda
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  6. Hiroyuki Kinoshita
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Correspondence to Ryuusuke Kawamura.

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Kawamura, R., Sano, K., Ootao, Y. et al. Magneto-thermo-elastic problem of a conducting rectangular cylinder subjected to sinusoidal change in time of magnetic field. Acta Mech 214, 145–158 (2010). https://doi.org/10.1007/s00707-010-0316-7

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  • DOI: https://doi.org/10.1007/s00707-010-0316-7

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