做大范围运动复合材料板的动力学建模研究

基于经典层合板理论建立了大范围运动复合材料板的动力学方程,考虑了传统建模方法忽略的二次耦合变形量。采用有限元法对复合材料板进行离散,利用Lagrange方法推导了大范围运动复合材料板的动力学方程。通过编制matlab程序计算了带中心刚体的旋转复合材料板的变形,将得到的结果分别与不计耦合变形量的传统方法的计算结果进行比较,随着转速的提高,本文方法收敛,而传统方法趋于发散。研究了铺层角度对作大范围运动复合材料板变形影响以及复合材料板和各向同性板在经历相同运动时角点最大变形的差异。

Dynamic modeling for a composite plate undergoing large overall motion

The second order coupling deformation variable, which is ignored in traditional method, is considered in this paper.The equations of motion is established using finite element method and Lagrange principal. The reliability of the motion equations derived in the present work is validated by numerical study.It can be seen form the results that the stiffeness variation terms have effects on the dynamic of overall motion plate,and as the deformation results are increased as the rotating velocity increase. As the rotating velocity increase,there is a obvious difference in the deformation results between new and conventional method. Variation of the deformation of the observed point versus ply angle is also investigated in the work, it can be seen from the results that, deformation of the angle point increases as the ply angle increases. Based on the comparison of laminate plate and isotropic plate undergoing the same large overall motion, an obvious difference can be found.