| 引用本文: | 黄炎.矩形薄板自由振动的解析解法.[J].国防科技大学学报,1988,10(3):12-17 ，108.[点击复制] |
| Huang Yan.Analytical Method for Soluving Free Vibration of Rectangular Plates[J].Journal of National University of Defense Technology,1988,10(3):12-17 ，108[点击复制] |
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| 矩形薄板自由振动的解析解法 |
| 黄炎 |
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(航天技术系)
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| 摘要: |
| 本文建立了矩形薄板横向自由振动振型函数微分方程的一般解，可以求解任意边界条件的矩形板的振动问题。以一组对边固定一组对边自由的矩形板为例求解了板的基本频率。 |
| 关键词: 自由振动 基本频率 |
| DOI： |
| 投稿日期：1987-08-30 |
| 基金项目: |
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| Analytical Method for Soluving Free Vibration of Rectangular Plates |
| Huang Yan |
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(Department of Aerospace Technology)
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| Abstract: |
| A general solution of differential equation for lateral displacement function in free vibration of rectangular thin plates is established in this paper. It can be used to solve vibration problem of rectangular plate with arbitrary boundaries. For example，the fundamental frequency of a plate with two opposite edges fixed and the other two edges free is solved. |
| Keywords: Free vibration Fundamental Frequency |
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