Response of Infinite Journal Gas Bearings to Harmonic Perturbations in the Rotational Speed

[+] Author and Article Information
Y. Narkis, M. J. Cohen

Department of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

J. of Lubrication Tech 99(4), 428-433 (Oct 01, 1977) (6 pages) doi:10.1115/1.3453237 History: Received September 03, 1976; Revised May 10, 1977; Online October 20, 2010


The dynamics of a long hydrodynamic gas bearing is investigated for periodic variations of the rotational speed. The analysis is divided into two regions of interest, namely: (1) for small eccentricities the system is represented by a pair of linear differential equations with time-dependent coefficients. Investigation for a sinusoidally varying rotational speed proves that an unloaded bearing can be stable, though it is known not to be stable at all constant speeds. An approximate analytical solution is given for the orbit of a stable journal whirling about its equilibrium position. (2) For higher eccentricities the nonlinear equations describing the motion of the journal center are derived. When the speed perturbation is small, the equations may be linearized, and analytical expressions are obtained for the calculation of journal response. At given speed and eccentricity resonance is reached at the critical mass of instability threshold, but even for smaller mass the amplitudes are liable to endanger safe operation of the system.

Copyright © 1977 by ASME
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