Two sectors radial gas bearing with maximum load capacity

The variational problem for a radial gas sliding bearing with two sectors is considered. The pressure distribution in the gas layer is described by a nonlinear Reynolds equation for arbitrary compressibility numbers. Magnitude of the principal pressure force vector is used as the variational problem functional. A qualitative analysis of the extremum necessary conditions is carried out, and a computational procedure is constructed. It is shown on the basis of complete system of necessary conditions analysis that the profile of each sector is piecewise linear and single-stage, herewith one sector provides only a gas depression, while the another one — only the gas compression.