الفهرس 
Jeffcott-rotor system controlled by a radial PD-control algorithm and eight-pole magnetic bearings actuatorOnly 14 pages are availabe for public view
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Abstract
The main objective of this thesis is a mathematical study for the nonlinear lateral
vibrations of rotating machinery. Rotating machinery vibrations are usually
simulated using a two-degree-of freedom nonlinear system known as Jeffcott-rotor
system controlled by eight-pole magnetic bearings actuator. Two basic models of
Jeffcott-rotor system have been investigated. The first is a vertically supported
nonlinear Jeffcott-rotor system controlled by eight-pole magnetic bearings
actuator. The second is a horizontally supported nonlinear Jeffcott-rotor system
controlled by eight-pole magnetic bearings actuator. Different control algorithms
were proposed to suppress those nonlinear vibrations such as radial PD-control
algorithm and Proportional Integral Resonant Controller (PIRC-controller). The
system dynamics are analyzed when the rub-impact occurrence between the rotor
and the pole housing is unavoidable. The obtained discrete dynamical model is
analyzed using multiple scales perturbation techniques and validated numerically
through bifurcation diagrams, frequency spectrums, Poincare maps, time responses,
and steady-state whirling orbit using Matlab software. Finally, a list of references
regarding this discipline was cited.