Study of Flexural Behaviour of Jeffcott Rotor

Abstract

The simplest model to study the response of a rotor is a Jeffcott rotor. In this paper the equation of motion of the shaft centre was obtained by using Lagrange’s Equation and the path followed called the orbit was plotted using MATLAB. The amplitude of vibration and phase of an undamped rotor with free whirl, by considering eccentricity and by taking the effect of bow was also plotted separately. The response of the damped rotor was interpreted using Campbell diagram and the motion of shaft centre was plotted separately in a damped rotor. The amplitude and phase of vibration of the rotor geometrical centre was also plotted by considering free whirl, taking eccentricity into account and by taking the effect of bow separately.