【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.更多还原

【Abstract】 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 equation is derived from Lagrange equation; the response equation is expressed; the inherent frequency of the antisymmetric angle- ply plate is found by calculation subject to the different proportions of the length to the width, the different numbers of the layers of the plate and the different angles; and the dynamic response problems about the antisymmetric angle-ply laminated plate are analyzed and solved A comparison between the known results and my research is also offered.更多还原