Vibration characteristics of rotating thin-walled cylindrical shell: comparison of finite element method with analytical solution

Analytical solution and finite element method were used to study the influence of Coriolis force and centrifugal stiffening effect on the vibration characteristics of rotating thin-walled cylinder structure under different constraints. Results show that the finite element method to calculate the natural frequency of the thin-walled cylinder structure, compared with the analytical solution, has deviation under different static boundary conditions. Results of the two methods fit well for simply supported boundary conditions. With the increase of rotating speed, travelling wave frequency curves of backward wave and forward wave were clearly separated, and the trend of separation decreased with the increase of circumference wave number. Because of the influence of centrifugal stiffening effect, compared with to the case of only considering the effect of Coriolis force, the travelling wave frequency of rotating thin-walled cylindrical shell will increase, and when the rotating speed and circumference wave number is larger, the forward and backward traveling wave frequencies are greater than the static natural frequency.