The journal bearings of the MIT micro-devices are located at the outer periphery of the rotor and are designed to operate at rotational speeds of order two million rpm in order to enable high-power densities with turbomachinery tip speeds near . These journal bearings are very short compared to their relatively large bearing diameters such that the bearing is typically less than 0.1, that is at least one order of magnitude smaller than in conventional gas bearings. Thus, the ultra-short micro gas journal bearings essentially act as short annular seals and operate at Reynolds numbers of order 300, two orders of magnitude lower than conventional annular seals. The concepts that hold for turbulent flow, large scale annular seals do not apply to micro bearings and the laminar flow regime sets new challenges in the design, implementation and operation of ultra-short, high-speed gas bearings. In order to reach the goal of operating the MIT micro devices at full design speed, the micro-bearing design must be improved and engineering solutions need to be found to overcome the challenges of high-speed bearing operation. This paper is the first to derive the scaling laws for the dynamics of ultra-short hydrostatic gas journal bearings. The theory is established from first principles and enables a physics based characterization of the dynamic behavior of ultra-short hydrostatic gas bearings. The derived scaling laws for natural frequency and damping ratio show good agreement with experimental data. A simple criterion for whirl instability is found that only depends on bearing geometry. The scaling laws together with this criterion are used to delineate engineering solutions critical for stable high-speed bearing operation. Design charts are developed which provide the link between fabrication tolerances, bearing performance, and the tolerable level of rotor unbalance for a minimum required whirl ratio.
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June 2005
Technical Papers
Scaling Laws for Ultra-Short Hydrostatic Gas Journal Bearings
Z. S. Spakovszky,
Z. S. Spakovszky
Gas Turbine Laboratory, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
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L. X. Liu
L. X. Liu
Gas Turbine Laboratory, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
Search for other works by this author on:
Z. S. Spakovszky
Gas Turbine Laboratory, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
L. X. Liu
Gas Turbine Laboratory, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
J. Vib. Acoust. Jun 2005, 127(3): 254-261 (8 pages)
Published Online: June 1, 2005
Article history
Received:
January 14, 2004
Revised:
July 26, 2004
Accepted:
August 5, 2004
Online:
May 18, 2005
Citation
Spakovszky, Z. S., and Liu, L. X. (June 1, 2005). "Scaling Laws for Ultra-Short Hydrostatic Gas Journal Bearings." ASME. J. Vib. Acoust. June 2005; 127(3): 254–261. https://doi.org/10.1115/1.1897739
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