粘弹性夹芯层合旋转圆板的气动弹性动力稳定性分析

基于哈密尔顿原理，考虑作用于圆板上的空气动力载荷以及粘弹性复模量本构模型，本文建立了含有粘弹性夹芯层的旋转圆板的空气动力学模型，并给出了相应的稳定性的控制方程及边界条件。运用Galerkin方法，文中数值求解并给出了夹芯层合旋转圆板的动力学基本特征，以及结构几何参数、材料参数对于其前、后行波振动频率、阻尼和动力稳定性的影响。结果表明：通过优化合理选取粘弹性夹芯层合旋转圆板的几何参数和材料参数，可提高旋转圆板的临界转速和颤振速度，从而增强其稳定性。

ANALYSIS ON THE AEROELASTIC DYNAMIC STABILITY OF A ROTATING SANDWICH ANNULAR PLATE WITH VISCOELASTIC CORE LAYER

An aeroelastic dynamic model for a rotating sandwich annular plate with a viscoelastic core layer is developed in this paper. Based on the Hamilton’s principle, all fundamental equations and boundary conditions for the rotating annular plate are derived, through comprehensive analysis of the aerodynamic forces acting on the plate and the complex modulus properties of the viscoelastic core layer. The effects of geometrical and material parameters on the respective frequency and damping of the forward and backward traveling waves, as well as the dynamic stability for the rotating sandwich plate are numerically analyzed by means of the Galerkin’s method. The results demonstrate that the critical and flutter speed of the rotating sandwich plate can be improved by certain proper geometrical and material parameters of the viscoelastic core layer.