On-line algebraic identification of eccentricity in active vibration control of rotor-bearing systems

This paper leads with the application of on-line algebraic identification for eccentricity estimation in a rotor-bearing system. An important property of this algebraic identification is that the eccentricity identification is not asymptotic but algebraic, in contrast to most of the traditional identification methods, which generally suffer of poor speed performance. The algebraic identification is combined with an adaptive-like active vibration control scheme to reduce the amplitude response of the system while it passes through of its first critical speed. It is considered that one of the bearings can be automatically moved to control the effective rotor length and, as an immediate consequence, the rotor stiffness. Some numerical simulations are included to illustrate the dynamic performance of the algebraic identification and the active vibration control scheme, when the rotor is started and operated over the first critical speed.