Under certain external unforeseen disturbances the rotor-bearings system exhibits self excited oscillating behaviours. The instability occurs when the speed exceeds a certain onset, appearing as self excited orbital motions induced by the fluid film dynamic forces. In this paper an approximate closed form solution for the Reynolds’ equation for the particular case of the partial arc journal bearings in unsteady operating conditions is proposed. The analysis considers the case of incompressible coupled stress fluid under the classical hypothesis.
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