| 基于有限元方法的复合材料层合板自由振动分析 |
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| 引用本文： | 晁爱芳,沙云东,傅文君.基于有限元方法的复合材料层合板自由振动分析[J].沈阳航空工业学院学报,2008,25(4). |
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| 作者姓名： | 晁爱芳 沙云东 傅文君 |
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| 作者单位： | 沈阳航空工业学院飞行器动力与能源工程学院,辽宁,沈阳,110136 |
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| 摘 要： | 利用有限元分析方法分别研究了正交各向异性、对称角和反对称角铺设的正方形复合材料层合板的线性和非线性自由振动问题.结合一阶剪切变形理论推导出层合板自由振动的有限元方程,构造了三维有限元模型,并对其基频进行计算.数值结果与其他的文献的结果对照表明,用有限元方法求得的基频与用各阶剪切变形理论求得的结果非常接近,但对于厚板结果与经典Kirchhoff的结果有一些差距,对于其他理记是一致的.
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| 关 键 词： | 复合材料 有限元方法 基频 剪切变形理论 |
Free vibration analysis of laminated composite plates using finite element method |
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| CHAO Ai-fang,SHA Yun-dong,FU Wen-jun.Free vibration analysis of laminated composite plates using finite element method[J].Journal of Shenyang Institute of Aeronautical Engineering,2008,25(4). |
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| Authors: | CHAO Ai-fang SHA Yun-dong FU Wen-jun |
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| Abstract: | In this paper,a finite element method is used to study the linear and the non-linear free vibration of anisotropic cross-ply,symmetric angle-ply and antisymmetric angle-ply square laminated composite plates.The finite element equations are derived for free vibration of laminated composite plates based on first-order shear deformation theory,a 3D finite element model is constructed and its fundamental natural frequencies are calculated.It is shown by the comparisons between numerical computing values and other literature data,that the results of the finite element method are very close to the results of the shear deformation theories reported in the literature,but it is different from those of the classical Kirchhoff's theory for thick laminates. |
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| Keywords: | composite materials finite element method fundamental natural frequencies shear deformation theory |
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