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1. Introduction
Gas bearing systems have been extensively used for a variety of electromechanical system applications, and it is particularly valuable when used with precision instruments. This is due, in part, to low noise when there is rotation, and to zero friction when the instruments are used as null devices. This bearing system has a number of advantages compared to their rolling-element or oil-lubricated counterparts, including low friction losses and zero risk of contamination through lubricant leakage. As a result, they are widely applied in a diverse range of rotational systems.
Floating ring gas bearing (FRGB) system is different from general gas bearings due to the double thins lubrication. Because the rotational speed of the rotor applied in precision control could reach 106 rpm, the stability of rotor dynamics is one of the most important factors for considering the design of FRGB systems. So, how to increase the stability of rotor systems and control the appearance of nonperiodic motion becomes the major execution of this paper.
According to the recent research, nonlinear dynamic responses of rotor-bearing systems are analyzed and published. In 1994, Malik and Bert [1] studied the differential quadrature method (DQM) and applied it for the first time to the solution of steady-state oil and gas lubrication problems of self-acting hydrodynamic bearings. In that work, the quadrature solutions of the Reynolds equation for incompressible lubrication were compared with the exact solutions of finite-length bearings. The quadrature solutions of the compressible Reynolds equation for finite-length plain journal bearings were compared with the finite difference and finite element solutions. The work also included comparison of...
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