THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (6): 715-724.

THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE

树学锋, 张晓晴, 张晋香

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

收稿日期:1998-09-30 修回日期:1999-12-18 出版日期:2000-06-18 发布日期:2000-06-18
基金资助:
Shanxi Natural Science Foundation(981006);Shanxi Research foundation for return scholar

THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE

Shu Xuefeng, Zhang Xiaoqing, Zhang Jinxiang

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

Received:1998-09-30 Revised:1999-12-18 Online:2000-06-18 Published:2000-06-18
Supported by:
Shanxi Natural Science Foundation(981006);Shanxi Research foundation for return scholar

摘要/Abstract

摘要： 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.

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.

中图分类号:

O322

树学锋;张晓晴;张晋香. THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(6): 715-724.

Shu Xuefeng;Zhang Xiaoqing;Zhang Jinxiang . THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(6): 715-724.

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THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE

THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE

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