反对称角铺设层合板动力响应样条有限元分析  

The spline finite element method for the analysis of the dynamic response of the antisymmetric angle-ply laminated plate

作　　者：尤凤翔[1] 郝庆东[2] 李大成[1] 

机构地区：[1]揭阳学院理学系,广东揭阳522000 [2]辽东学院基础部,辽宁丹东118000

出　　处：《云南大学学报（自然科学版）》2005年第S1期403-409,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：第二批新世纪广东省高等教育教学改革工程项目资助(2002157)

摘　　要：旨在研究反对称角铺设层合板的动力响应.基于Kirchhoff经典理论,用样条有限元法以三次B样条函数构成的样条基对反对称多层角铺设层合板的3个独立位移进行插值,推导了复合材料层合板刚度阵,质量阵列式,阻尼阵列式,并由Lagrange方程导出了层合板的动力学方程,通过瑞利一李兹法建立了特征方程.并分别计算了反对称角铺设层合板在不同长宽比、不同铺层数、不同铺设角情况下的固有频率.求解了反对称角铺设层合板的动力响应问题,并与已有的成果进行了比较.The research on the dynamic response of the antisymmetric angle- ply laminated plate is presented. Based on Kirchhoff s classical theory and adopting the spline finite element method, three independent displacements are interpolated into the ant; symmetric angle-ply laminated plate by the spline base of the cubic spline B function, and the stiffness array and the quality array of the composite material laminated plate are derived. By using Rayleigh-Reeds method, the damping array is established; kinetic equ...

关 键 词：复合材料 反对称角铺设层合板 样条有限元法 动力响应 

分 类 号：TB332[一般工业技术—材料科学与工程]