Development of a simplified mathematical model for a foil gas bearing operation

Abstract

A theoretical study of a gas flow process in a clearance, changing during operation between a compliant foil of a foil gas bearing and a rotor of a high-speed turbomachine, is presented. The approaches to mathematic simulation of the position of the compliant foil of the gas bearing, deforming under the influence of gas pressure on the outer surface and a system of distributed springs on the inner surface, are developed. An example of numerical simulation of the foil gas bearing in order to obtain an elastic line of the compliant foil under the influence of gas forces, acting in a wedge-shaped clearance, is considered.