旋转薄壁圆柱壳的高节径振动特性以及篦齿结构的影响
摘要
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.