Technology Review

Compliant Gas Foil Bearings and Analysis Tools

[+] Author and Article Information
Michael Branagan

Rotating Machinery and Controls (ROMAC) Laboratory,
Department of Mechanical and Aerospace Engineering,
University of Virginia,
Charlottesville, VA 22904
e-mail: mkb2sr@virginia.edu

David Griffin

Rotating Machinery and Controls (ROMAC) Laboratory,
Department of Mechanical and Aerospace Engineering,
University of Virginia,
Charlottesville, VA 22904
e-mail: djg5gb@virginia.edu

Christopher Goyne

Rotating Machinery and Controls (ROMAC) Laboratory,
Department of Mechanical and Aerospace Engineering,
University of Virginia,
Charlottesville, VA 22904
e-mail: cpg3e@virginia.edu

Alexandrina Untaroiu

Laboratory for Turbomachinery and Components,
Department of Biomedical Engineering and Mechanics,
Virginia Polytechnic Institute and State University,
Blacksburg, VA 24061
e-mail: alexu@vt.edu

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received August 28, 2015; final manuscript received September 3, 2015; published online November 11, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 138(5), 054001 (Nov 11, 2015) (8 pages) Paper No: GTP-15-1428; doi: 10.1115/1.4031628 History: Received August 28, 2015; Revised September 03, 2015

Compliant gas foil bearings are composed of two layers of thin metallic foil and a thin film of gas to support the journal. The bottom foil creates an elastic structure which supports the top foil. This support structure can take a variety of shapes that range from a series of bumps around the circumference to a series of overlapping leaves. The top foil and the rotation of the rotor create a wedge of air that supports the rotor. The complaint foil structure deforms in response to the pressure developed within the gas film. These bearings have several advantages over conventional fluid film bearings. These advantages include reduced weight due to the elimination of the oil system, stable operation at higher speeds and temperatures, low power loss at high speeds and long life with little maintenance. Some disadvantages of gas foil bearings are low load capacities at low speed and modest stiffness and damping values. Due to these properties, compliant gas foil bearings are commonly used in specialized applications such as compressors for aircraft pressurization, engines for turboshaft propulsion, air cycle machines (ACMs), turboexpanders, and small microturbines. The ability to predict the behavior of these bearings and design them to meet the needs of the application is invaluable to the design process. This behavior can include things such as bearing stiffness, damping, and load capacity. Currently most foil bearing analysis tools involve some sort of coupling between hydrodynamics and structural analyses. These analysis tools can often have convergence issues and can require the use of empirically derived characteristics. This paper reviews the current status of the compliant gas foil bearings research, focusing mainly on the journal bump-type gas foil bearings and the development of the analysis tools for these bearings. This paper contributes to the field by making recommendations of the future developments of the analytical tools of journal bump-type gas foil bearings.

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Somaya, K. , Yamashita, T. , and Yoshimoto, S. , 2012, “ Experimental and Numerical Investigation of the High-Speed Instability of Aerodynamic Foil Journal Bearings for Micro Turbomachinery,” ASME Paper No. IJTC2012-61130.
DellaCorte, C. , and Bruckner, R. J. , 2011, “ Remaining Technical Challenges and Future Plans for Oil-Free Turbomachinery,” ASME J. Eng. Gas Turbines Power, 133(4), p. 042502. [CrossRef]
Suriano, F. J. , 1981, Gas Foil Bearing Development Program, U.S. Air Force Wright Aeronautical Laboratories, Wright-Patterson AFB, OH, Report No. AFWAL-TR-81-2095.
Agrawal, G. L. , 1997, “ Foil Air/Gas Bearing Technology—An Overview,” ASME Paper No. 97-GT-347.
Heshmat, H. , Walton, J. , DellaCorte, C. , and Valco, M. , 2000, “ Oil-Free Turbocharger Demonstration Paves Way to Gas Turbine Engine Applications,” ASME Paper No. 2000-GT-0620.
Radil, K. C. , and DellaCorte, C. , 2002, “ The Effect of Journal Roughness and Foil Coatings on the Performance of Heavily Loaded Foil Air Bearings,” Tribol. Trans., 45(2), pp. 199–204. [CrossRef]
Lucero, J. M. , and DellaCorte, C. , 2004, “ Oil-Free Rotor Support Technologies for Long Life, Closed Cycle Brayton Turbines,” AIAA Second International Energy Conversion and Engineering Conference (IECEC), Providence, RI, Aug. 16–19, pp. 1583–1591.
Sim, K. , Lee, Y.-B. , and Kim, T. H. , 2013, “ Effects of Mechanical Preload and Bearing Clearance on Rotordynamic Performance of Lobed Gas Foil Bearings for Oil-Free Turbochargers,” Tribol. Trans., 56(2), pp. 224–235. [CrossRef]
Baumeister, H. K. , 1958, “ Recording Support Devices,” U.S. Patent No. 2,862,781.
Gross, W. A. , 1958, “ Film Lubrication—V. Infinitely Long Incompressible Lubricating Films of Various Shapes,” IBM Research Laboratory, San Jose, CA, Report No. RJ 117-5, pp. 54–79.
Licht, L. , and Branger, M. , 1973, Design, Fabrication, and Performance of Foil Journal Bearing for the Brayton Rotating Unit, Vol. 2243, National Aeronautics and Space Administration, Washington, DC.
Ruscitto, D. , McCormick, J. , and Gray, S. , 1978, “ Hydrodynamic Air Lubricated Compliant Surface Bearing for an Automotive Gas Turbine Engine. I. Journal Bearing Performance,” Mechanical Technology, Latham, NY, Technical Report No. NASA CR-135368.
Cherubim, J. , 1974, “ Hydrodynamic Foil Bearings,” U.S. Patent No. 3,809,443.
Gross, W. A. , 1962, Gas Film Lubrication, Wiley, Chichester, UK.
DellaCorte, C. , Radil, K. C. , Bruckner, R. J. , and Howard, S. A. , 2008, “ Design, Fabrication, and Performance of Open Source Generation I and II Compliant Hydrodynamic Gas Foil Bearings,” Tribol. Trans., 51(3), pp. 254–264. [CrossRef]
DellaCorte, C. , and Valco, M. J. , 2000, “ Load Capacity Estimation of Foil Air Journal Bearings for Oil-Free Turbomachinery Applications,” Tribol. Trans., 43(4), pp. 795–801. [CrossRef]
Heshmat, H. , 1994, “ Advancements in the Performance of Aerodynamic Foil Journal Bearings: High Speed and Load Capability,” ASME J. Tribol., 116(2), pp. 287–294. [CrossRef]
Yu, H. , Shuangtao, C. , Rugang, C. , Qiaoyu, Z. , and Hongli, Z. , 2011, “ Numerical Study on Foil Journal Bearings With Protuberant Foil Structure,” Tribol. Int., 44(9), pp. 1061–1070. [CrossRef]
Lai, T. , Chen, S. , Ma, B. , Zheng, Y. , and Hou, Y. , 2014, “ Effects of Bearing Clearance and Supporting Stiffness on Performances of Rotor-Bearing System With Multi-Decked Protuberant Gas Foil Journal Bearing,” Proc. Inst. Mech. Eng., Part J: J. Eng. Trib., 228(7), 780–788.
San Andrés, L. , and Chirathadam, T. A. , 2012, “ A Metal Mesh Foil Bearing and a Bump-Type Foil Bearing: Comparison of Performance for Two Similar Size Gas Bearings,” ASME J. Eng. Gas Turbines Power, 134(10), p. 102501. [CrossRef]
Song, J.-H. , and Kim, D. , 2007, “ Foil Gas Bearing With Compression Springs: Analyses and Experiments,” ASME J. Tribol., 129(3), pp. 628–639. [CrossRef]
Feng, K. , Zhao, X. , and Guo, Z. , 2015, “ Design and Structural Performance Measurements of a Novel Multi-Cantilever Foil Bearing,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 229(10), pp. 1830–1838.
Du, J. , Zhu, J. , Li, B. , and Liu, D. , 2014, “ Hydrodynamic Analysis of Multileaf Gas Foil Bearing With Backing Springs,” Proc. Inst. Mech. Eng., Part J, 228(5), pp. 529–547. [CrossRef]
Kim, D. , and Zimbru, G. , 2012, “ Start–Stop Characteristics and Thermal Behavior of a Large Hybrid Airfoil Bearing for Aero-Propulsion Applications,” ASME J. Eng. Gas Turbines Power, 134(3), p. 032502. [CrossRef]
Swanson, E. E. , Heshmat, H. , and Walton, J. , 2002, “ Performance of a Foil-Magnetic Hybrid Bearing,” ASME J. Eng. Gas Turbines Power, 124(2), pp. 375–382. [CrossRef]
Heshmat, H. , Walowit, J. , and Pinkus, O. , 1983, “ Analysis of Gas-Lubricated Foil Journal Bearings,” ASME J. Tribol., 105(4), pp. 647–655.
Rubio, D. , and San Andrés, L. , 2006, “ Bump-Type Foil Bearing Structural Stiffness: Experiments and Predictions,” ASME J. Eng. Gas Turbines Power, 128(3), pp. 653–660. [CrossRef]
Schiffmann, J. , and Spakovszky, Z. , 2013, “ Foil Bearing Design Guidelines for Improved Stability,” ASME J. Tribol., 135(1), p. 011103. [CrossRef]
Andrés, L. S. , and Kim, T. H. , 2008, “ Forced Nonlinear Response of Gas Foil Bearing Supported Rotors,” Tribol. Int., 41(8), pp. 704–715. [CrossRef]
San Andrés, L. , Rubio, D. , and Kim, T. H. , 2007, “ Rotordynamic Performance of a Rotor Supported on Bump Type Foil Gas Bearings: Experiments and Predictions,” ASME J. Eng. Gas Turbines Power, 129(3), pp. 850–857. [CrossRef]
Heshmat, H. , and Ku, C.-P. R. , 1994, “ Structural Damping of Self-Acting Compliant Foil Journal Bearings,” ASME J. Tribol., 116(1), pp. 76–82. [CrossRef]
Radil, K. , Howard, S. , and Dykas, B. , 2002, “ The Role of Radial Clearance on the Performance of Foil Air Bearings,” Tribol. Trans., 45(4), pp. 485–490. [CrossRef]
Howard, S. , Dellacorte, C. , Valco, M. J. , Prahl, J. M. , and Heshmat, H. , 2001, “ Dynamic Stiffness and Damping Characteristics of a High-Temperature Air Foil Journal Bearing,” Tribol. Trans., 44(4), pp. 657–663. [CrossRef]
Sim, K. , Lee, Y.-B. , Song, J. W. , Kim, J.-B. , and Kim, T. H. , 2014, “ Identification of the Dynamic Performance of a Gas Foil Journal Bearing Operating at High Temperatures,” J. Mech. Sci. Technol., 28(1), pp. 43–51. [CrossRef]
Radil, K. , and Zeszotek, M. , 2004, “ An Experimental Investigation Into the Temperature Profile of a Compliant Foil Air Bearing,” Tribol. Trans., 47(4), pp. 470–479. [CrossRef]
Dykas, B. , and Howard, S. A. , 2004, “ Journal Design Considerations for Turbomachine Shafts Supported on Foil Air Bearings,” Tribol. Trans., 47(4), pp. 508–516. [CrossRef]
DellaCorte, C. , Zaldana, A. R. , and Radil, K. C. , 2004, “ A Systems Approach to the Solid Lubrication of Foil Air Bearings for Oil-Free Turbomachinery,” ASME J. Tribol., 126(1), pp. 200–207. [CrossRef]
Ku, C.-P. R. , and Heshmat, H. , 1992, “ Compliant Foil Bearing Structural Stiffness Analysis: Part I—Theoretical Model Including Strip and Variable Bump Foil Geometry,” ASME J. Tribol., 114(2), pp. 394–400. [CrossRef]
DellaCorte, C. , Radil, K. C. , Bruckner, R. J. , and Howard, S. A. , 2006, “ A Preliminary Foil Gas Bearing Performance Map,” Society of Tribologists and Lubrication Engineers, Annual Meeting and Exhibition, Calgary, AB, Canada, May 7–11.
Stribeck, R. , 1901, Kugellager für beliebige Belastungen, Buchdruckerei AW Schade, Berlin.
DellaCorte, C. , 2011, “ Stiffness and Damping Coefficient Estimation of Compliant Surface Gas Bearings for Oil-Free Turbomachinery,” Tribol. Trans., 54(4), pp. 674–684. [CrossRef]
Peng, J.-P. , and Carpino, M. , 1993, “ Calculation of Stiffness and Damping Coefficients for Elastically Supported Gas Foil Bearings,” ASME J. Tribol., 115(1), pp. 20–27. [CrossRef]
Peng, J.-P. , and Carpino, M. , 1994, “ Coulomb Friction Damping Effects in Elastically Supported Gas Foil Bearings,” Tribol. Trans., 37(1), pp. 91–98. [CrossRef]
Carpino, M. , and Talmage, G. , 2003, “ A Fully Coupled Finite Element Formulation for Elastically Supported Foil Journal Bearings,” Tribol. Trans., 46(4), pp. 560–565. [CrossRef]
Ypma, T. J. , 1995, “ Historical Development of the Newton–Raphson Method,” SIAM Rev., 37(4), pp. 531–551. [CrossRef]
Peng, Z.-C. , and Khonsari, M. , 2004, “ Hydrodynamic Analysis of Compliant Foil Bearings With Compressible Air Flow,” ASME J. Tribol., 126(3), pp. 542–546. [CrossRef]
Kim, T. H. , and San Andrés, L. , 2008, “ Heavily Loaded Gas Foil Bearings: A Model Anchored to Test Data,” ASME J. Eng. Gas Turbines Power, 130(1), p. 012504. [CrossRef]
Feng, K. , and Kaneko, S. , 2010, “ Analytical Model of Bump-Type Foil Bearings Using a Link–Spring Structure and a Finite-Element Shell Model,” ASME J. Tribol., 132(2), p. 021706. [CrossRef]
Howard, S. A. , and San Andrés, L. , 2011, “ A New Analysis Tool Assessment for Rotordynamic Modeling of Gas Foil Bearings,” ASME J. Eng. Gas Turbines Power, 133(2), p. 022505. [CrossRef]
Bensouilah, H. , Lahmar, M. , and Bou-Saïd, B. , 2012, “ Elasto-Aerodynamic Lubrication Analysis of a Self-Acting Air Foil Journal Bearing,” Lubr. Sci., 24(3), pp. 95–128. [CrossRef]
Lee, D. , Kim, D. , and Sadashiva, R. P. , 2011, “ Transient Thermal Behavior of Preloaded Three-Pad Foil Bearings: Modeling and Experiments,” ASME J. Tribol., 133(2), p. 021703. [CrossRef]
Kim, D. , Ki, J. , Kim, Y. , and Ahn, K. , 2012, “ Extended Three-Dimensional Thermo-Hydrodynamic Model of Radial Foil Bearing: Case Studies on Thermal Behaviors and Dynamic Characteristics in Gas Turbine Simulator,” ASME J. Eng. Gas Turbines Power, 134(5), p. 052501. [CrossRef]
Feng, K. , and Kaneko, S. , 2013, “ A Thermohydrodynamic Sparse Mesh Model of Bump-Type Foil Bearings,” ASME J. Eng. Gas Turbines Power, 135(2), p. 022501. [CrossRef]
Moraru, L. , and Keith, T. , 2005, “ Lobatto Point Quadrature for Thermal Lubrication Problems Involving Compressible Lubricants,” World Tribology Congress III (WTC2005), Washington, DC, Sept. 12–16, pp. 171–172.
Feng, K. , and Guo, Z. , 2014, “ Prediction of Dynamic Characteristics of a Bump-Type Foil Bearing Structure With Consideration of Dynamic Friction,” Tribol. Trans., 57(2), pp. 230–241. [CrossRef]
Wang, N. , Huang, H.-C. , and Hsu, C.-R. , 2013, “ Parallel Optimum Design of Foil Bearing Using Particle Swarm Optimization Method,” Tribol. Trans., 56(3), pp. 453–460. [CrossRef]
Larsen, J. S. , and Santos, I. F. , 2014, “ Efficient Solution of the Non-Linear Reynolds Equation for Compressible Fluid Using the Finite Element Method,” J. Braz. Soc. Mech. Sci. Eng., 37(3), pp. 945–957. [CrossRef]
Bonello, P. , and Pham, H. , 2014, “ The Efficient Computation of the Nonlinear Dynamic Response of a Foil–Air Bearing Rotor System,” J. Sound Vib., 333(15), pp. 3459–3478. [CrossRef]
Cook, R. D. , Malkus, D. S. , Plesha, M. E. , and Witt, R. J. , 2007, Concepts and Applications of Finite Element Analysis, Wiley, Hoboken, NJ.


Grahic Jump Location
Fig. 1

Generation I hydresil gas foil bearing design [11]

Grahic Jump Location
Fig. 2

First gas foil bearing [11]

Grahic Jump Location
Fig. 3

Foil bearing schematic [16]

Grahic Jump Location
Fig. 4

Compression spring gas foil bearing [21]

Grahic Jump Location
Fig. 5

Multicantilever gas foil bearing [22]

Grahic Jump Location
Fig. 6

Reversed multipad bearing [4]

Grahic Jump Location
Fig. 7

Generation III bump-style bearing with multistage bumps [17]



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