| 考虑液面波动和液体压缩时一侧受液作用悬臂梁的横振分析 |
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| 引用本文： | 周叮.考虑液面波动和液体压缩时一侧受液作用悬臂梁的横振分析[J].应用力学学报,1994(2). |
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| 作者姓名： | 周叮 |
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| 作者单位： | 南京理工大学 |
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| 摘 要： | 本文分析一侧部分受有液体作用悬臂梁的横向自由振动，同时考虑了液面波动和液体可压缩性对悬臂梁自振特性的影响。利用一组广义三角级数的正交完备性，求得了悬臂梁与液体耦联振动的振型函数和频率方程的精确解析解，最后给出了几个数值算例。
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| 关 键 词： | 固液耦合 悬臂梁 自振特性 |
The Analysis of Transverse Vibration of Cantilever BeamActed Partially by Liquid on One Side Considering theEffects of Surface Wave and Compressibility of Liquid |
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| Zhou Ding.The Analysis of Transverse Vibration of Cantilever BeamActed Partially by Liquid on One Side Considering theEffects of Surface Wave and Compressibility of Liquid[J].Chinese Journal of Applied Mechanics,1994(2). |
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| Authors: | Zhou Ding |
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| Institution: | East China Institute of Technology |
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| Abstract: | This paper analyses the characteristics of free vibration of cantilever beam acted partially by liq-uid on one side. The effects of surface wave and compreesibility of liquid are considered simultaneous-ly in the analysis. The exact analytical solutions of mode shape functions and equation of natural fre-quency of cantilever beam coupled with liquid are derived by the use of orthogonality and completenessof a group of generalized trigonometric serics. The frequency parameters can be obtained through re-solving the frequency equation by using the method of numerically searching roots in non-linear alge-bra equation. Finally, some numerical examples are given in order to illustrate the effects of liquid onnatural frequencies of cantilever beam. |
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| Keywords: | solid-liquid interaction cantilever beam vibrational characteristic exact analytical solution |
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