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TECHNICAL PAPERS

Low-Order Models for Very Short Hybrid Gas Bearings

[+] Author and Article Information
N. Savoulides, S. Jacobson, F. F. Ehrich

Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Massachusetts

K. S. Breuer

Division of Engineering, Brown University, Providence, Rhode Island

J. Tribol 123(2), 368-375 (Jun 16, 2000) (8 pages) doi:10.1115/1.1308000 History: Received February 15, 2000; Revised June 16, 2000
Copyright © 2001 by ASME
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References

Epstein, A. H., Senturia, S. D., Al-Midani, O., Anathasuresh, G., Ayon, A., Breuer, K., Chen, K-S., Ehrich, F. F., Esteve, E., Frechette, L., Gauba, G., Ghodssi, R., Groshenry, C., Jacobson, S., Kerrebrock, J. L., Lang, J. H., Lin, C-C., London, A., Lopata, J., Mehra, A., Mur Miranda, J. O., Nagle, S., Orr, D. J., Piekos, E. S., Schmidt, M. A., Shirley, G., Spearing, S. M., Tan, C. S., Tzeng, Y-S., and Waitz, I. A., 1997, “Micro-Heat Engines, Gas Turbines, and Rocket Engines- The MIT Microengine Project,” 28th AIAA Fluid Dynamics and 4th AIAA Shear Flow Control Conference, AIAA 97-1773.
Piekos, E. S., Orr, D. J., Jacobson, S. A., Ehrich, F. F., and Breuer, K. S., 1997, “Design and Analysis of Microfabricated High Speed Gas Journal Bearings,” 28th AIAA Fluid Dynamics and 4th AIAA Shear Flow Control Conference, AIAA 97-1966.
Breuer, K., Ehrich, F., Fréchette, L., Jacobson, S., Lin, C-C., Orr, D., Piekos, E., Savoulides, N., and Wong, C-W. “Challenges for Lubrication in High-Speed MEMS,” in NanoTribology, Edited by S. Hsu., Kluwer Press, Dordrecht, 2000 (in press).
Piekos, E. S., 2000, “Numerical Simulation of Gas Lubricated Journal Bearings for Microfabricated Machines,” Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA.
Piekos,  E. S., and Breuer,  K. S., 1999, “Pseudospectral Orbit Simulation on Nonideal Gas-Lubricated Journal Bearings for Microfabricated turbomachines,” J. Tribol., 121, pp. 604–609.
Orr, D. J., 2000, “Macro-Scale Investigation of High Speed Gas Bearings for MEMS Devices,” Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA.
Fréchette, L., Jacobson, S. A., Breuer, K. S., Ehrich, F. F., Ghodssi, R., Khanna, R. Wong, C-W, Zhang, X., Schmidt, M. A., and Epstein, A. H., “Demonstration of a Microfabrication High-Speed Turbine Supported on Gas Bearings,” IEEE Solid State Sensors and Actuators Workshop, Hilton Head, SC, June 2000.
Savoulides, N., 2000, “Low Order Models for Hybrid Gas Bearings,” Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA.
Hamrock, B. J., 1994, Fundamentals of Fluid Film Lubrication, McGraw-Hill Company, New York.
Giles,  M. B., and Drela,  M., 1987, “Two-Dimensional Transonic Aerodynamic Design Method,” AIAA J., 25, pp. 1199–1206.
Drela,  M., and Giles,  M. B., 1987, “Viscous-Inviscid Analysis of Transonic and Low Reynolds Number Airfoils,” AIAA J., 25, pp. 1347–1355.
Larson,  R. H., and Richardson,  H. H., 1962, “A Preliminary Study of Whirl Instability for Pressurized Gas Bearings,” J. Basic Eng., 84, pp. 511–520.

Figures

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Gas bearing geometry and nomenclature
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Microbearing schematic: The aft plate consists of two separate plena which can be pressurized to any desired pressure, PPH and PPL. By applying different pressures to the plena the journal is side-loaded.
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Hydrodynamic stiffness coefficient K̄xx for Λ=0.25, 0.5, 1.0, and 2.0 45
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Hydrostatic natural frequency versus the axial pressure difference 4
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Functional dependence of variables in solution procedure
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Hydrodynamic stability boundaries, on the ξ-Λ plane, for M̄=0.4, 0.9, and 2.0. (a) Based on the low-order model and (b) based on a full numerical simulation 4.
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Gauge pressures for α=0.3, and Padd=0
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Performance characteristics, using α=0.3, and Padd=0. (a) normalized damping of the bearing. (b) Critical speed ratio as a function of the eccentricity ratio. (c) Eccentricity ratio.
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Performance characteristics, using α=0.4, and Padd=0. (a) Normalized damping of the bearing. (b) Critical speed ratio as a function of the eccentricity ratio. (c) Eccentricity ratio.
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Performance characteristics, using α=0.4, and Padd=1. (a) Normalized damping of the bearing. (b) Critical speed ratio as a function of the eccentricity ratio. (c) Eccentricity ratio.
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Performance characteristics, using α=0.4, and Padd=2. (a) Normalized damping of the bearing. (b) Critical speed ratio as a function of the eccentricity ratio. (c) Eccentricity ratio.

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