Abstract
The nonlinear dynamic behavior of a rigid rotor supported by a spherical gas journal bearing sys- tem is analyzed using a hybrid method combining the differential transformation method (DTM) and the fi- nite difference method (FDM). The analytical results reveal that the bearing system has a complex dynamic behavior comprising periodic, subharmonic, and quasi- periodic responses of the rotor center. The evolution in the dynamic behavior of the bearing system is system- atically examined as the rotor mass and bearing number are increased. The analytical results are found to be in good agreement with those of other numerical meth- ods. Hence, the validity of the proposed hybrid method as a means of gaining insights into the nonlinear dy- namics of spherical gas film rotor-bearing systems is confirmed.
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