| 引用本文: | 黄炎,刘大泉.弹性地基上的矩形薄板自由振动的一般解.[J].国防科技大学学报,2001,23(3):5-8.[点击复制] |
| HUANG Yan,LIU Daquan.A General Solution of Free Vibration for Rectangular Thin Plates on the Elastic Foundation[J].Journal of National University of Defense Technology,2001,23(3):5-8[点击复制] |
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| 弹性地基上的矩形薄板自由振动的一般解 |
| 黄炎, 刘大泉 |
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(国防科技大学 航天与材料工程学院, 湖南 长沙 410073)
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| 摘要: |
| 求得了弹性地基上矩形薄板横向自由振动位移函数微分方程的一般解。可以求解任意边界矩形板的振动问题。以两相邻边固定另两边自由的正方形板为例进行了计算。 |
| 关键词: 弹性地基 薄板 振动 频率 |
| DOI： |
| 投稿日期：2000-06-01 |
| 基金项目: |
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| A General Solution of Free Vibration for Rectangular Thin Plates on the Elastic Foundation |
| HUANG Yan, LIU Daquan |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| A general solution of differential equation for transverse displatement function in free vibration of rectangular thin plate on elastic foundation is obtained. It can be used to solve the vibration problem of rectangular plate with arbitrary boundaries. For example, a square plate with two adjacent edges fixed and other two free have been calculated. |
| Keywords: elastic foundation thin plate vibration frequency |
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