Whirl Orbital Response Control of Micro Rotors With Flexural Modes

Abstract

In this paper there is an attempt to develop an elegant controlling strategy to stabilize flexible rotors having flexural modes. Initially, the possible causes of instability in a rotor system due to internal damping through mathematical formulation are discussed. The threshold or the critical speed was derived beyond which the rotor became unstable. The stabilizing algorithm was designed by keeping the overall control law mathematically simple such that minimum numbers of sensors were used and deployed. Actuators were properly selected such that control and stabilization was practically possible for rotors of such low diameters. Bond graphs were used to model the rotor system having flexural modes. As bond graphs act as a portrayal of power and information exchange within the system and with external environment, bond graphs may give a better clue for modeling such systems. The real challenge in this work lies in the proposal of control strategy in stabilizing non-rigid rotors having flexible modes. Mathematical simplicity of the proposed control algorithms is considered for its easy deployment. The Simplest Beam model the Euler-Bernoulli beam is considered.