Whirl Orbital Response Control of Micro Rotors With Flexural Modes

TLDR: In this paper, the authors proposed a control strategy to stabilize non-rigid rotors having flexible modes. And the stabilizing algorithm was designed by keeping the overall control law mathematically simple such that the minimum number of sensors were used and deployed.

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