This article is cited in 1 paper

Two sectors radial gas bearing with maximum load capacity

Y. Y. Boldyrev

Peter the Great Saint-Petersburg Polytechnic University, Institute of Applied Mathematics and Mechanics

Abstract: 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.

Keywords: gas lubrication, calculus of variations, load capacity maximum, arbitrary compressibility numbers.

Received: 27.11.2017
Revised: 13.12.2018
Accepted: 01.07.2019

DOI: 10.1134/S023408791911008X

 English version: Mathematical Models and Computer Simulations, 2020, 12:4, 510–518

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