| 薄板自由振动的边界元法解析 |
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| 引用本文： | 方英武,黄玉美,张广鹏,卫军朝.薄板自由振动的边界元法解析[J].西安理工大学学报,2004,20(2):159-163. |
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| 作者姓名： | 方英武 黄玉美 张广鹏 卫军朝 |
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| 作者单位： | 西安理工大学,机械与精密仪器工程学院,陕西,西安,710048 |
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| 摘 要： | 从薄板自由振动的微分方程式出发，依据弹性薄板理论和振动理论，运用边界元法(BEM)研究了薄板横向自由振动的动态特性。计算中采用薄板横向振动问题的基本解，推导了均匀、各向同性薄板的边界特性方程，应用频率扫描的方法求解其固有频率。算例表明采用本文的方法计算简便，具有足够的解析精度。
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| 关 键 词： | 薄板 自由振动 边界元法 动态特性 |
| 文章编号： | 1006-4710(2004)02-0159-05 |
| 修稿时间： | 2003年10月16 |
Analysis for Free Vibration of Thin Plate by Boundary Element Method |
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| FANG Ying-wu,HUANG Yu-mei,ZHANG Guang-peng,WEI Jun-chao.Analysis for Free Vibration of Thin Plate by Boundary Element Method[J].Journal of Xi'an University of Technology,2004,20(2):159-163. |
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| Authors: | FANG Ying-wu HUANG Yu-mei ZHANG Guang-peng WEI Jun-chao |
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| Abstract: | In view of the differential equations for free vibration of thin plate, according to elastic thin plate theory and vibration theory, Boundary Element Method (BEM) is used to analyze the dynamic characteristic of thin plate in lateral free vibration. In the process of calculation, the fundamental solution in the lateral free vibration is adopted, and the characteristic equation on boundary for free vibration of homogeneous and isotropic thin plate is deduced, the natural frequency is obtained by using the method of frequency scan. The calculated examples indicate that the methods suggested in this paper are simple with enough analytical accuracy. |
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| Keywords: | thin plate free vibration boundary element method dynamic characteristic |
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