Optimization of Hybrid Gas Lubricated Conical Bearings

Abstract

The motion of a short symmetrical rotor without loading by a constant radial force is described. The rotor under consideration is mounted in two hybrid conical gas lubricated bearings. It is assumed that the symmetric bearing's foundation is supported by flexible damped elements. An optimum angle of conical gas bearings which gives the maximum stability of the motion of the rotor with respect to the self-excited, cylindrical vibrations is sought. For this purpose a linear method of analysis is used. The optimum angle of the conical bearing is established for a certain family of conical gas films. The conditions of its existence in terms of parameters describing properties of the gas films and of the characteristic parameters of flexible damped elements is found. Finally, the existence of an optimum stiffness of elastic elements of support with respect to the creation of self-excited whirl vibrations of the rotor and foundation is proved.