Vibration Analysis of Convergent-Divergent Shaft-Rotor System

Abstract

Cantilevered shaft-rotor systems consisting of disk and profiled shafts are considered. The procedures for the determination of the deflection, slope, shear force and bending moment at the extremities of the shaft are used. Transfer Matrix Method is used for the computation of the resonance, critical speed or whirling frequency conditions. Here shaft-rotor has three portions namely convergent, neck and divergent portion. For particular profiles, shaft length and rotor speeds, the response of the system are determined for the establishment of the dynamic characteristics. A built-in shaft-rotor system with one disk and 1N force on the disk is investigated for illustration purposes. Hence the analysis of the shaft whose radius is the function of length has been done.