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Mathematical analysis of flexural vibrations of inhomogeneous rectangular plates and beams subjected to cyclic loadings of temperature change and external force

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Abstract

Flexural vibrations of rectangular plates and beams which consist of functionally inhomogeneous materials due to cyclic loadings of external force and temperature change are analyzed mathematically. Effects of aspect ratio of rectangular plates and loading frequency on the interference between the flexural vibration due to cyclic loading and that due to cyclic heating are discussed. The amplification factor in the dynamic behavior to the quasi-static one is also studied. Especially, comparing transient responses in flexural vibration of rectangular plates with those of beams, the difference in the amplifications of out-of-plane deflection and stresses between plates and beams 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. Shimano Inc., Head Office, 3-77 Oimatsu-cho, Sakai-ku, Sakai, Osaka, 590-8577, Japan

    Hiroshi Fujita

  3. Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Naka-ku, Sakai, Osaka, 599-8531, Japan

    Yoshihiro Ootao

  4. Osaka Prefecture University, Sakai, Japan

    Yoshinobu Tanigawa

Authors
  1. Ryuusuke Kawamura
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  2. Hiroshi Fujita
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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., Fujita, H., Ootao, Y. et al. Mathematical analysis of flexural vibrations of inhomogeneous rectangular plates and beams subjected to cyclic loadings of temperature change and external force. Acta Mech 214, 133–144 (2010). https://doi.org/10.1007/s00707-010-0311-z

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  • DOI: https://doi.org/10.1007/s00707-010-0311-z

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