周边固支圆板非线性热弹耦合振动分析

基金项目: 山西省归国留学人员科研基金;山西省自然科学基金资助项目(981006)

Thermoelastic Free Vibration of Clamped Circular Plate

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

摘要: 导出了轴对称圆板非线性热弹耦合自由振动基本方程,对周边固支圆板运用伽辽金法求解,得出振幅随时间变化的数值解.将热弹耦合与非热弹耦合情况进行对比,发现振幅较小时,热弹耦合效应使板的固有频率相对于无热弹耦合情形提高;振幅较大时,热弹耦合效应使固有频率降低.最后比较了不同热弹耦合参数对应的振动情况.
- 非线性振动 /
- 热弹耦合振动 /
- 圆板
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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