| 轴向运动薄膜的横向振动和稳定性分析 |
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| 引用本文： | 侯志勇,王忠民.轴向运动薄膜的横向振动和稳定性分析[J].西安理工大学学报,2005,21(4):402-404. |
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| 作者姓名： | 侯志勇 王忠民 |
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| 作者单位： | 西安理工大学,理学院,陕西,西安,710048 |
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| 基金项目： | 陕西省教育厅专项科研计划基金资助项目（03JK069）. |
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| 摘 要： | 建立了轴向运动矩形薄膜的横向振动和稳定性问题的力学模型及运动微分方程，用解析法导出了四边固支的轴向运动矩形薄膜的复频率方程，讨论了在轴向匀速运动情况下，其系统复频率的实部和虚部随速度的变化关系以及临界速度。
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| 关 键 词： | 运动矩形薄膜 横向振动 稳定性 |
| 文章编号： | 1006-4710(2005)04-0402-03 |
| 收稿时间： | 2005-04-02 |
| 修稿时间： | 2005年4月2日 |
The Transverse Vibration and Stability Analysis of an Axially Moving Membrane |
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| HOU Zhi-yong,WANG Zhong-min.The Transverse Vibration and Stability Analysis of an Axially Moving Membrane[J].Journal of Xi'an University of Technology,2005,21(4):402-404. |
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| Authors: | HOU Zhi-yong WANG Zhong-min |
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| Abstract: | The mathematics model and differential equation of motion for the transverse vibration and stability problems of an axially moving rectangular membrane are established. The complex frequency equation of an axially moving rectangular membrane with four fixed edges is derived by analytical method. In the case of constant axially moving membrane, the relationships between the real part and imaginary part of complex frequency and the axially moving speed as well as the critical speed are discussed. |
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| Keywords: | axially moving rectangular membrane transverse vibration stability |
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