On the rub-impact force, bifurcations analysis, and vibrations control of a nonlinear rotor system controlled by magnetic actuator integrated with PIRC-control algorithm

Abstract This article presents the Proportional Integral Resonant Controller (PIRC-controller) as a novel control strategy to suppress lateral vibrations and eliminate nonlinear bifurcation characteristics of vertically supported rotor system. The proposed algorithm is incorporated into system via an eight-pole electromagnetic actuator. designed such that law employed generate eight different currents depending on air-gap size between poles. Then, generated electrical are utilized energize magnetic actuator apply controllable attractive forces undesired considered According suggested strategy, whole can be represented mathematical model using classical mechanics' principle theory, in which, rub-impact force stator included derived model. obtained discrete dynamical analyzed perturbation techniques validated numerically through diagrams, frequency spectrums, Poincare maps, time responses, steady-state whirling orbit. results illustrate mitigate vibration catastrophic bifurcations when gains optimally. In addition, dynamics occurrence pole housing unavoidable. acquired revealed may perform periodic-1, periodic-n, or quasiperiodic motion with one two oscillation modes both impact stiffness coefficient dynamic friction coefficient. Article Highlights Nonlinearity dominates uncontrolled response, where it suffers from jump phenomenon multiple solutions. controller Jeffcott respond linear small amplitudes. oscillates full-annular-rub partial-rub-impact mode occurs stator.