旋转薄壁圆柱壳的高节径振动特性以及篦齿结构的影响

本文利用传递矩阵法研究旋转薄壁圆柱壳的静态固有频率和行波特性，特别是其高节径振动特性以及壳体外壁周向篦齿结构（即密封齿）对固有特性的影响．首先基于Love壳体理论，引入科氏力和离心力，建立考虑旋转态的薄壁圆柱壳的动力学控制方程．然后，介绍了进行圆柱壳固有特性分析的传递矩阵法．对比分析分别由传递矩阵法和解析法得到的、三种边界条件（两端简支、两端固支和一端固支一端自由）下的旋转薄壁圆柱壳的高节径模态特性．最后，利用传递矩阵法对带有篦齿结构的旋转薄壁圆柱壳进行了计算，分析了篦齿结构对其高节径振动固有特性的影响．

High nodal diameter vibration characteristics of rotating shell and the effects of its sealing teeth

In this paper, the transfer matrix method is presented to study the vibrations of the rotating cylindrical shell, especially considering the high nodal diameter vibration characteristic and the effects of its circumferential toothing structure on the outer wall （i.e., sealing teeth）. Firstly, the dynamic governing equations of thin cylindrical shell in rotating state are established based on the Love＇s shell theory, in which the Coriolis and centrifugal forces are involved. Then, the transfer matrix method is introduced for cylindrical shell to solve its natural characteristics. The natural frequencies of high nodal diameters of rotating cylindrical shells are solved by transfer matrix method, under three sets of boundary conditions including simply supported-simply supported, clamped-clamped, and clamped-free one, partly comparing with their corresponding analytical results if existing. At last, the higher nodal diameters＇ natural frequencies of rotating cylindrical shells with sealing teeth are also solved by the transfer matrix method. The effects of the sealing teeth on them are studied.