| 任意铺设复合材料层合板的自由振动 |
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| 引用本文： | 师俊平,刘协会.任意铺设复合材料层合板的自由振动[J].西安理工大学学报,1997,13(2):146-151. |
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| 作者姓名： | 师俊平 刘协会 |
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| 作者单位： | 西安理工大学理学院!西安，710048 |
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| 摘 要： | 根据哈密顿最小作用量原理，对任意铺设复合材料叠层板推导了自由振动的变分方程，在此基础上应用RitZ法得到了多种铺设叠层矩形板在一般边界条件下振动基频的计算公式。利用这些变分公式计算了几种典型铺设矩形板的基频，结果表明上述方法是有效的，为进一步进行数值分析提供了理论依据。
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| 关 键 词： | 复合材料叠层板 变分 振动 频率 位移函数 |
Free Vibration of Cross-ply Composite Laminated Plates |
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| Shi Junping,Liu Xiehui,Zhao Jucai.Free Vibration of Cross-ply Composite Laminated Plates[J].Journal of Xi'an University of Technology,1997,13(2):146-151. |
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| Authors: | Shi Junping Liu Xiehui Zhao Jucai |
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| Abstract: | The variational equation of free vibration for cross-ply composite laminated plates is deduced, according to Hamilton's principle of least action. The computative formulas of the natural frequency for the vibration of some cross-ply laminated rectangular plates with ordinary boundary conditions are obtained using Ritz's method. By means of these variational formulas,the fundamental frequency of several typical cross-ply rectangular plates are approximately analyzed. The results show that the method proposed in this paper is more efficient than the others and it offers us theoretical basis for numerical analysis. |
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| Keywords: | composite laminated plate variation vibration frequency displacement function |
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