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Solving the nonlinear problem of gas-lubricated hybrid circular bearings. Part II: unsteady case

Nedelcu S., Postelnicu A.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 2

465-478

In the paper, a dynamic analysis of gas-lubricated hybrid circular bearings is made. The mathematical model is the Reynolds equation in unsteady regimes along with the boundary conditions for a multiple connected domain. Within the hypothesis of a periodic relative motion of bearing surfaces, the method of small perturbations is used. The equations of the model are solved numerically using a difference finite method and finally, the curves of variation of the critical mass versus the eccentricity are obtained.

Solving the nolinear problem of gas-lubricated hybrid circular bearings. Part I: Steady case

Nedelcu S., Postelnicu A.

Applied Mechanics and Engineering

2000

Vol. 5, no 3

629-653

In hybrid bearings, the carrying effect is produced by supplying under pressure and by the relative motion of the bearing surfaces. Because the pressure distribution in the bearing is the solution to a nonlinear partial differential equation of second order, the two causes cannot be studied separately and solving the problem is a difficult task. The mathematical model considered by us is the Reynolds equation for compressible fluids in a multiple connected domain. The boundary conditions on the inner boundaries are derived from the flow-rate continuity through the supplying orifices and are expressed as nonlinear integral-differential equations, which are solved numerically.