| 波传播法分析两端固支轴向运动梁的横向振动 |
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| 引用本文： | 郝芹,何锃.波传播法分析两端固支轴向运动梁的横向振动[J].噪声与振动控制,2007,27(1):41-44. |
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| 作者姓名： | 郝芹 何锃 |
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| 作者单位： | 华中科技大学力学系 武汉430074 |
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| 摘 要： | 用波传播法分析研究了两端固支轴向运动梁的横向自由振动。应用相位封闭原则导出了系统的频率方程,并求出了固有频率和模态函数。所得结论和传统方法解带有边界条件的微分方程的结果一致。但是,波传播法可以从物理角度更好的解释系统振动的本质,这是传统解法所没有提及的。
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| 关 键 词： | 振动与波 波传播 相位封闭原则 固有频率 模态函数 |
| 文章编号： | 1006-1355(2007)01-0041-04 |
| 修稿时间： | 2006-04-28 |
Transverse Vibration of an Axially Moving Beam with Fixed Support by Wave Propagation |
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| HAO Qin,HE Zeng.Transverse Vibration of an Axially Moving Beam with Fixed Support by Wave Propagation[J].Noise and Vibration Control,2007,27(1):41-44. |
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| Authors: | HAO Qin HE Zeng |
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| Affiliation: | Department of Mechanics, Huazhong University of Science and Technology , Wuhan 430074, China |
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| Abstract: | The free transverse vibration in an axially moving beam on fixed support is investigated by wave propagation.The frequency equation of such a beam has been derived using the phase-closure prin- ciple.The natural frequencies and the modes are also obtained.These results are in conformity with those obtained by traditional approach of solving a differential equation with given boundary conditions.Howev- er,wave propagation adds to the physical understanding of the vibration of the system,which is often missing in the traditional method. |
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| Keywords: | vibration and wave wave propagation the phase-closure principle natural frequency modal function |
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