Vibration of Rotating Prestressed Cylindrical Shells

Abstract

The frequency analysis is presented for rotating cylindrical shells subjected to the initial stresses which are generated by torque, external pressure of axial compression load. Consequently, it is found that, though the natural frequencies decrease depending upon the state of the initial stresses, even in the case of rotating prestressed cylindrical shells the instability phenomenon can't be observed and that the dependence of the frequencies upon the rotating speeds is approximately represented by the simple relation for a thin rotating ring provided that the frequencies and rotating speeds are normalized by the natural frequencies of a non-rotating cylindrical shell.