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The Static Performance Analysis of Foil Journal Bearings Considering Coulomb friction

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초록

In foil bearings, the friction between bumps and their mating surfaces is the major factor which exerts great influence on the bearing performance. From this point of view, many efforts have been made to improve the understanding of the influence of the friction on the foil bearing performance by developing a number of analytical models. However, most of them did not consider the hysteretic behavior of the foil structure resulting from the friction. The present work developed the static structural model in which hysteretic behavior of the friction was considered. The foil structure was modeled using finite element method and the algorithm which determines the conditions of the contact nodes and the directions of the friction forces was used to take into account the friction. The developed model was integrated into the foil bearing prediction code to investigate the effects of the friction on the static performance of the bearing. The results of analysis show that multiple static equilibrium positions are presented for the one static load under the influence of the friction, inferring its great effects on the dynamic performance. However, the effect of friction on the minimum film thickness which determines load capacity of the bearing is negligible.

Abstract

In foil bearings, the friction between bumps and their mating surfaces is the major factor which exerts great influence on the bearing performance. From this point of view, many efforts have been made to improve the understanding of the influence of the friction on the foil bearing performance by developing a number of analytical models. However, most of them did not consider the hysteretic behavior of the foil structure resulting from the friction. The present work developed the static structural model in which hysteretic behavior of the friction was considered. The foil structure was modeled using finite element method and the algorithm which determines the conditions of the contact nodes and the directions of the friction forces was used to take into account the friction. The developed model was integrated into the foil bearing prediction code to investigate the effects of the friction on the static performance of the bearing. The results of analysis show that multiple static equilibrium positions are presented for the one static load under the influence of the friction, inferring its great effects on the dynamic performance. However, the effect of friction on the minimum film thickness which determines load capacity of the bearing is negligible.

참고문헌 (18)

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  3. Peng,J.-P., "Calculation of Stiffness and Damping Coefficients for Elastically Supported Gas Foil Bearings", ASME J.of Trib, 115, pp.20~27 (1993)
  4. Peng,Z.-C., "Hydrodynamic Analysis of Compliant Foil Bearings with Compressible Air Flow", ASME J.of Tribol, 126, pp.542~546 (2004)
  5. Peng,J.P., "Coulomb Friction Damping Effects in Elastically Supported Gas Foil Bearings", STLE Tribol.Trans, 37, pp.91~98 (1994)
  6. Carpino,M., "A Fully Coupled Finite Element Formulation for Elastically Supported Foil Journal Bearings", STLE Tribol. Trans, 46, pp.560~565 (2003)
  7. Ku,C.-P., "Compliant Foil Bearing Structural Stiffness Analysis Part I:Theoretical Model-Including Strip and Variable Bump Foil Geometry", ASME J. of Tribol, 114, pp.394~400 (1992)
  8. Ku, C.-P, "Structural Stiffness and Coulomb Damping in Compliant Foil Journal Bearings:Theoretical Consideration", STLE Tribol. Trans, 37, pp.525~533 (1994)
  9. Ku,C.-P., "Structural Stiffness and Coulomb Damping in Compliant Foil Journal Bearings:Parametric Studies", STLE Tribol. Trans, 37, pp.455~462 (1994)
  10. Heshmat,H., "Structural Damping of Self-Acting Compliant Foil Journal Bearings", ASME J.of Tribol, 116, pp.76~82 (1994)
  11. Swanson,E.E, "Bump Foil Damping Using a Simplified Model", ASME J.of Tribol, 128, pp.542~550 (2006)
  12. Le Lez,S., "Static and Dynamic Characterization of a Bump-Type Foil Bearing Structure", ASME J.of Tribol, 129, pp.75~83 (2007)
  13. Le Lez,S., "A New Bump-Type Foil Bearing Structure Analytical Model", ASME J. of Eng. Gas Turbines and Power, 129, pp.1047~1057 (2007)
  14. Kikuchi, N., "Finite Element Methods in Mechanics" (1986), Cambridge University Press, Chap. 4
  15. The Static Performance Analysis of Foil Journal Bearings Considering Three-Dimensional Shape of the Foil Structure, "Lee, D. H.", ~, pp.ASME Paper No. TRIB-07-1189 (2007)
  16. Ku,C.-P., "Compliant Foil Bearing Structural Stiffness Analysis Part II:Experimental Investigation", ASME J.of Tribol, 115, pp.364~369 (1993)
  17. Ruscitto,D., "Hydrodynamic Air Lubricated Compliant Surface Bearing For An Automotive Gas Turbine Engine I-Journal Bearing Performance", NASA CR-135368, ~ (1978)
  18. Kim,D.J., "Parametric Studies on Static and Dynamic Performance of Air Foil Bearings with Different Top Foil Geometries and Bump Stiffness Distributions", ASME J.of Tribol, 129, pp.354~364 (2007)

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