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K irchhoff的结果有一些差距,对于其他理记是一致的。
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.
出处
《沈阳航空工业学院学报》
2008年第4期52-55,66,共5页
Journal of Shenyang Institute of Aeronautical Engineering
基金
航空基础科学项目(项目编号:02C54007)
关键词
复合材料
有限元方法
基频
剪切变形理论
composite materials
finite element method
fundamental natural frequencies
shear deformation theory
