Non-Linear Interactions of Jeffcott-Rotor System Controlled by a Radial PD-Control Algorithm and Eight-Pole Magnetic Bearings Actuator

Within this work, the radial Proportional Derivative (PD-) controller along with eight-poles electro-magnetic actuator are introduced as a novel control strategy to suppress lateral oscillations of non-linear Jeffcott-rotor system. The proposed has been designed such that each pole magnetic generates an attractive force proportional displacement and velocity rotating shaft in direction pole. According mechanism, mathematical model governs interactions between Jeffcott system established. Then, analytical solution for obtained dynamic derived using perturbation analysis. Based on extracted solution, motion bifurcation investigated before after via plotting different response curves. results illustrate uncontrolled behaves like hard-spring duffing oscillator responds bi-stable periodic oscillation when rotor angular speed is higher than system’s natural frequency. It alsomfound system, control, can exhibit stable symmetric high vibration amplitudes both horizontal vertical directions, regardless eccentricity magnitude. In addition, acquired demonstrate technique eliminate catastrophic behaviors undesired parameters properly. However, it reported improper design gains may destabilize perform either chaotic or quasi-periodic motions depending magnitudes parameters. Finally, validate accuracy results, numerical simulations all curves have which excellent agreement investigations.