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Thermoelastic free vibration of clampe circular plate

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Abstract

An analysis was given for the free vibration of clamped circular plate when temperature and stress fields were coupled. A nonlinear differential equation about time was obtained by using Galerkin's method. The numerical results of vibration amplitude vs time were compared with the uncoupled case. It is found that if the given initial displacement is small, the effect of thermoelastical coupling will make the natural frequency increase; if the given initial displacement is large, it will be the opposite case. Effects of some different vibration factors are also discussed.

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Authors and Affiliations

  1. Institute of Applied Mechanics, Taiyuan University of Technology, 030024, Taiyuan, P R China

    Shu Xuefeng Associate Professor, Doctor, Zhang Xiaoqing & Zhang Jinxiang

Authors
  1. Shu Xuefeng Associate Professor, Doctor
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  2. Zhang Xiaoqing
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  3. Zhang Jinxiang
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Additional information

Communicated by Yang Guitong

Foundation item: Shanxi Natural Science Foundation (981006); Shanxi Research foundation for return scholar.

Biography: Shu Xuefeng (1964-)

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Xuefeng, S., Xiaoqing, Z. & Jinxiang, Z. Thermoelastic free vibration of clampe circular plate. Appl Math Mech 21, 715–724 (2000). https://doi.org/10.1007/BF02460191

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  • DOI: https://doi.org/10.1007/BF02460191

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