黏弹性层合悬臂薄壁圆柱壳的模态特性研究

基于薄壳理论和黏弹性理论, 得出了黏弹性层合悬臂薄壁圆柱壳模态特性的半解析解. 根据乐甫薄壳理论, 建立了基层和黏弹性阻尼层薄壁圆柱壳的一阶状态微分方程, 结合黏弹性阻尼层的变形协调关系和层间作用力关系, 利用传递矩阵法得出了整体结构的传递矩阵, 采用高精度的精细积分法得出了固有频率、模态损耗因子和三维模态振型, 最后通过有限元法进行了比较, 通过算例验证了传递矩阵法对黏弹性层合薄壁圆柱壳模态特性研究的有效性.

MODAL CHARACTERISTICS OF A VISCOELASTIC LAMINATED CANTILEVER THIN CYLINDRICAL SHELL

Based on the thin shell theory and the viscoelastic theory, the modal characteristics of a viscoelastic laminated cantilever thin cylindrical shell are obtained by a semi-analytical method. Firstly, the dynamic model for the host shell and the constraining layer is established based on the Love's shell theory combining with the consideration of the deformation coordination and the interatomic forces of the viscoelastic damping layer, and the first-order ordinary differential equations of the whole component are derived in the state vectors by the transfer matrix method. Then, the natural frequencies, the modal loss factor and the three-dimensional modal shapes are obtained by means of a high-precise integration method, which are compared with the results by the finite element method. The example results show that the transfer matrix method is effective to obtain the modal vibration characteristics of the viscoelastic laminated cantilever thin cylindrical shell.