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In this paper, a analysis on nonlinear vibrations of Jeffcott rotor supported on air bearings and air foil journal bearings is carried out. A rotor responses are obtained by solving rotor equations of motion and unsteady compressible Reynolds equation. For solving, unsteady compressible Reynolds equation, a control volume formulation with power law scheme and gauss-Seidel method is used. The controlling parameters: rotor speed, unbalance and damping in the rotor are considered. The nonlinear vibration responses are analysed by using bifurcation plot, orbit plot, Poincare map and frequency spectrum. The analysis shows highly nonlinear behaviour of rotor for air foil bearings. The rotor motion shows multi-periodic and quasi-periodic motion. However, the presence of damping reduces the nonlinear behaviour of rotor. The present analysis helps to design the rotor bearing system. In addition, the analysis can be extended for the system identification.
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