FREE VIBRATION ANALYSIS OF ROTATING TWISTED CYLINDRICAL THIN PANELS

Abstract Blades are idealized as twisted cylindrical thin panels and the free vibrations of rotating blades are studied in this paper. First the steady deformation due to rotation is studied by using the principle of virtual work for deformation, then considering the initial deformations and the initial stress resultants, the vibration of the panel is analyzed by using the principle of virtual work for free vibration. The numerical procedure for analyzing the free vibrations of rotating twisted cylindrical thin panels is presented by the Rayleigh–Ritz method. The solutions are shown in non-dimensional frequency parameters and compared with the previous results. Finally, the effects of twist angle, center angle, setting angle, rotating speed and radius of rotating disc on the vibrations are investigated.