Thermoelastic Free Vibration of Clamped Circular Plate

Shu Xuefeng; Zhang Xiaoqing; Zhang Jinxiang

Volume 21 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(6): 647-654

Shu Xuefeng, Zhang Xiaoqing, Zhang Jinxiang. Thermoelastic Free Vibration of Clamped Circular Plate[J]. Applied Mathematics and Mechanics, 2000, 21(6): 647-654.

Citation:

Shu Xuefeng, Zhang Xiaoqing, Zhang Jinxiang. Thermoelastic Free Vibration of Clamped Circular Plate[J]. Applied Mathematics and Mechanics, 2000, 21(6): 647-654.

Citation:

Shu Xuefeng, Zhang Xiaoqing, Zhang Jinxiang. Thermoelastic Free Vibration of Clamped Circular Plate[J]. Applied Mathematics and Mechanics, 2000, 21(6): 647-654.

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Thermoelastic Free Vibration of Clamped Circular Plate

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

Received Date: 1998-09-30
Rev Recd Date: 1999-12-18
Publish Date: 2000-06-15

Abstract

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 dispacement 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.
- nonlinear vibration,
- thermoelastic vibration,
- circular plate

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References(10)

References

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