Free vibrational characteristics of rotating joined cylindrical-conical shells

The aim of this study is to investigate the free vibration of a rotating joined cylindrical-conical shell in the presence of the centrifugal and Coriolis forces as well as the initial hoop tension resulting from rotation of the shell. Based on the equations of general rotating shells of revolution, the equations of motion of rotating cylindrical and rotating conical shells are derived, and then these governing equations were solved by employing the power series method. For validation and comparison purposes, the results of the special cases of the studied problem were compared with the results reported in the literatures. Another comparison study was also conducted by the results of finite element model of a rotating cylindrical-conical shell. It is observed that the presented approach predicts the frequencies of forward and backward waves with good accuracy. In addition, the effects of different parameters such as rotation speed, cone angle, circumferential wave number, length to radius ratio, and shell thickness on the frequencies of forward and backward waves were investigated.