Vibration Analysis of Hollow Profiled Shafts

Abstract

Shaft-rotor systems consisting of hollow profiled shafts with uniform bore are taken into consideration. The computation of deflection, slope, shear force and bending moment at the extremities of the hollow-shaft are done using conventional mathematical procedures. Whirling frequency conditions are computed using transfer matrix method. The response of the rotating system for different profiles, lengths and speeds are computed and plotted for better understanding. The results are compared with previous published works. The step response of the system is also plotted to show the effects of gyroscopic couples at different speeds. Further, combined FEM and transfer matrix method is demonstrated for analyzing the non-rotating shafts with complex geometries.