| 一类变厚度固支圆板热弹耦合的振动分析 |
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| 引用本文： | 李志刚,任怀玉,树学锋.一类变厚度固支圆板热弹耦合的振动分析[J].太原理工大学学报,2005,36(6):673-675. |
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| 作者姓名： | 李志刚 任怀玉 树学锋 |
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| 作者单位： | 太原理工大学,应用力学研究所,山西,太原,030024 |
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| 基金项目： | 国家自然科学基金资助项目(10372067) |
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| 摘 要： | 对一类轴对称变厚度圆板非线性热弹耦合自由振动进行了研究。在周边固支边界条件下,用Galerkin方法得到该问题的非线性常微分方程组,在此基础上给出了该方程组的数值解,并且讨论了板的初始位移、热弹耦合系数和厚度系数等参数对板的振动频率及振幅的影响。
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| 关 键 词： | 变厚度圆板 热弹耦合 非线性振动 |
| 文章编号： | 1007-9432（2005）06-0673-03 |
| 收稿时间： | 2005-09-10 |
| 修稿时间： | 2005年9月10日 |
Analysis of Vibration of Thermoelastic and Variable Thickness Round Plate with Clamped Boundary Condition |
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| LI Zhi-gang,REN Huai-yu,SHU Xue-feng.Analysis of Vibration of Thermoelastic and Variable Thickness Round Plate with Clamped Boundary Condition[J].Journal of Taiyuan University of Technology,2005,36(6):673-675. |
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| Authors: | LI Zhi-gang REN Huai-yu SHU Xue-feng |
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| Institution: | Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024,China |
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| Abstract: | The basic equation of nonlinear thermoelastic vibration of round plate with variable thickness was proposed in this paper.A nonlinear differential equation about time was obtained by using Galerkin method for clamped boundary condition.Effects of some different vibration factors were discussed. |
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| Keywords: | circular plate with variable thickness thermoelastic coupling nonlinear vibration |
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