With the deformation theory on elastic thin plate in continuum mechanics,this paper investigated the dynamic properties of elastic thin plate rotating around an axis with large overall motions. In the absence of large overall motion, the effects of the deformation of elastic thin plate on the dynamic properties of the system are small and can be neglected.But if the deformation is coupled with large overall motion, its effects on the dynamic properties are significant.This paper established a geometrically nonlinear dynamic equation for elastic thin plate in the case of large overall motion with the straindeformation geometrically nonlinear relation,and established a dynamic discrete equation of the system with Garlerkin's mode shapes method.Numerical simulation was given to verify the correctness of the theoretical analysis,which showed that the transverse vibration of the system was stable.
参考文献
相似文献
引证文献
引用本文
龙卫国,蒋丽忠,戚菁菁.弹性薄板绕轴转动时刚-柔耦合动力学非线性分析[J].动力学与控制学报,2007,5(2):136~140; Long Weiguo, Jiang Lizong, Qi Jingjing. Nonlinear analysis on coupling dynamical of axial rotation of elastic thin plate[J]. Journal of Dynamics and Control,2007,5(2):136-140.