plain bearings;  floating rings;  Inertia term

Using the basically simplified Navier-Stocks equation system, the flow velocity field and pressure field of hydrodynamic lubrication bearings without inertial force are obtained, and the unsteady Reynolds equation under the influence of migration inertia force is derived from the approximate initial conditions, and on this basis, the unsteady Reynolds equation is solved by using the finite element method to obtain the pressure field of the inner and outer membranes of floating ring bearings. The results show that the inertia force has a significant effect on the pressure distribution of the bearing.