【摘要】 本文旨在研究复合材料层合板的瞬态特性。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,并推导了复合材料层合板刚度阵,质量阵列式。在瑞利阻尼的基础上构造了相应的阻尼列式,并由Lagrange方程导出了层合板的动力学方程,求解了反对称角铺设层合板的动力响应问题。通过算例,对于各种边界,选择样条函数作为振型函数,用样条配点法求出了结构的位移、速度、加速度的动力响应,并与New2mark法进行了比较。更多还原

【Abstract】 This paper presents the research on the transient characteristics of the composite laminated plate. Based on Kirchhoff’s classical theory and by the spline finite element method, three independent displacements are interpolated into the antisymmetric angle-ply laminated plate by the spline base of the cubic spline B function, and the stiffness array and quality array of the composite material laminated plate are derived. The damping array is established on the basis of Rayleigh Damping, kinetic equation is derived from Lagrange equation and the dynamic response problems about the antisymmetric angle-ply laminated plate are solved. Demonstrations are offered in this paper to show that the dynamic response value related to the structure displacement, speed and acceleration is found by choosing spline function as vibration function for various borders and using the spine point-allotting method. A comparison between the splint point allotting method and Newmark method is also made.更多还原