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Abstract

This paper studies the bifurcation of a rigid rotor supported by an externally pressurized porous gas journal bearing. A time-dependent mathematical model for porous gas journal bearings is presented. The modified Reynolds equation is solved using the finite difference method and the SOR (successive over relation) method. The system state trajectory, Poincaré maps, power spectra and bifurcation diagrams are used to analyse the dynamic behaviour of the rotor centre in the horizontal and vertical directions under different operating conditions. The analysis reveals a complex dynamic behaviour comprising periodic and quasi-periodic responses of the rotor centre. This paper shows how the dynamic behaviour of systems of this type varies with changes in rotor mass, squeeze number and bearing number. The results of this study contribute to a further understanding of the non-linear dynamics of gas-lubricated, externally pressurized, porous rotor-bearing systems.

Keywords

externally pressurized porous gas journal bearing Poincaré maps bifurcation

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Bifurcation analysis of externally pressurized porous gas journal bearings

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