不同边界条件下旋转薄壁圆柱壳的振动特性

Vibration characteristics of rotating thin cylindrical shells for various boundary conditions

为分析不同边界条件下旋转薄壁圆柱壳的振动特性,基于Love壳体理论,利用Hamilton原理建立了旋转薄壁圆柱壳的振动微分方程。并采用Galerkin方法对系统进行离散,将系统简化为常微分方程系统。引入振型函数,分别分析了简支-简支、固支-简支、自由-简支、固支-固支等几种不同边界条件下旋转薄壁圆柱壳的内力和固有频率特性。分析结果表明:薄壁圆柱壳的薄膜内力远大于弯曲内力;几何参数、边界条件、转速等参数对旋转薄壁圆柱壳的固有频率有重要影响。

The vibration characteristics of rotating thin cylindrical shells were investigated using Love＇s shell theory with the governing differential equations for rotating cylindrical shells derived using the Hamilton principle.Then,the governing differential equations were transformed to ordinary differential equations using Galerkin＇s method.Modal functions were introduced to analyze the forces and frequency characteristics of cylindrical shells for simply supported-simply supported,clamped-simply supported,free-simply supported,clamped-free,clamped-clamped and different boundary conditions.Simulations show that the membrane force is far larger than the flexural force for thin cylindrical shells and that the geometrical parameters,boundary conditions,and rotational speed all greatly influence the natural frequency of the rotating cylindrical shell.