Properties identification for gas foil bearings - experimental instrumentation and numerical approach

  • Sławomir KantorEmail author
  • Jakub Roemer
  • Jan Pawlik
  • Grzegorz Żywica
  • Paweł Bagiński
  • Adam Martowicz
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


This paper is devoted to investigation on thermal diffusion and thermomechanical coupling in gas foil bearing (GFB). The authors shortly describe the construction of GFB as well as fundamental advantages emerging from its applications. As being critical to the scope of the present study, one of the most significant reason of GFB damages is discussed, namely thermal stability loss. The known methods used to avoid the above mentioned problem are also shortly described. Moreover, the elaborated test rig is presented, which is planned to be used to identify the properties of GFB, including characterization of working conditions for the selected component of GFB’s supporting layer – a top foil. As discussed in the paper, the experimental work will enable numerical model validation procedure. Finally, the authors introduce the numerical tools and methods proposed to model thermal diffusion and thermomechanical coupling. The multiphysics approach in numerical simulations is also considered to effectively address the nature of the modeled phenomena in GFB, taking into account strain and temperature fields. Commercial finite element code, nonlocal formulations for finite differences, as well as, peridynamics are shortly characterized to show modeling capabilities for GFB. Exemplary results of numerical simulations for the modeled thermal diffusion are also presented. The paper is complemented with the description of the proposed application of shape memory alloys to improve the elasto-damping properties of GFB.


Gas Foil Bearing Thermal Stability Thermomechanical Coupling Multiphysics Nonlocal Finite Differences Peridynamics Model Validation 


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The authors acknowledge the project „Mechanisms of stability loss in high-speed foil bearings - modeling and experimental validation of thermomechanical couplings”, no. 2017/27/B/ST8/01822 financed by the National Science Center, Poland.


  1. 1.
    Nalepa K., Pietkiewicz P., Żywica G.: Development of the foil bearing technology. Technical Sciences, no. 12 (2009).Google Scholar
  2. 2.
    Kim T.H., San Andrés L.: Thermohydrodynamic model predictions and performance measurements of bump-type foil bearing for oil-free turboshaft engines in rotorcraft propulsion systems. Journal of Tribology, vol. 132, no. 1, p. 011701 (2010).CrossRefGoogle Scholar
  3. 3.
    Roemer J.: The use of thermoelectric materials for improving thermal stability of foil bearings in high speed rotating machinery. PhD thesis, AGH University of Science and Technology, Krakow, Poland (2017).Google Scholar
  4. 4.
    Radil K., Dellacorte C., Zeszotek M.: Thermal management techniques for oil-free turbomachinery systems. Tribology Transactions, vol. 50, no. 3, pp. 319-327 (2007).CrossRefGoogle Scholar
  5. 5.
    Shrestha S.K.: Experimental feasibility study of radial injection cooling of three pad radial air foil bearings. MSc thesis. The University of Texas at Arlington, USA (2012).Google Scholar
  6. 6.
    Heshmat H., Walton J.F., Tomaszewski M.J.: Demonstration of a turbojet engine using an air foil bearing. In: ASME Turbo Expo 2005: Power for Land, Sea, and Air, American Society of Mechanical Engineers, pp. 919-926 (2005).Google Scholar
  7. 7.
    Lubieniecki M., Roemer J., Martowicz A., Wojciechowski K., Uhl T.: A muli-point measurement method for thermal characterization of foil bearings using customized thermocouples. Journal of Electronic Materials, vol. 45, no. 3, pp. 1473–1477 (2016).CrossRefGoogle Scholar
  8. 8.
    Martowicz A., Kijanka P., Staszewski W.J.: A semi-nonlocal numerical approach for modeling of temperature-dependent crack-wave interaction. Proc. SPIE 9805, Health Monitoring of Structural and Biological Systems, 980515, vol. 9805 (2016).Google Scholar
  9. 9.
    Martowicz A., Ruzzene M., Staszewski W.J., Rimoli J.J., Uhl T.: Out-of-plane elastic waves in 2D models of solids: a case study for a nonlocal discretization scheme with reduced numerical dispersion. Mathematical Problems in Engineering, ID 584081 (2015).Google Scholar
  10. 10.
    Martowicz A., Staszewski W.J., Ruzzene M., Uhl T.: Nonlocal numerical methods for solving second-order partial differential equations. Proceedings of DSTA’2017, Łódź, Poland, December 11-14 (2017).Google Scholar
  11. 11.
    Martowicz A., Roemer J., Staszewski W.J., Ruzzene M., Uhl T.: Solving partial differential equations in computational mechanics via nonlocal numerical approaches. ZAMM - Journal of Applied Mathematics and Mechanics, e201800342,, (2019).CrossRefGoogle Scholar
  12. 12.
    Madenci E., Oterkus E.: Peridynamic theory and its applications. Springer, New York (2014).CrossRefGoogle Scholar
  13. 13.
    Martowicz A., Ruzzene M., Staszewski W.J., Uhl T.: Non-local modeling and simulation of wave propagation and crack growth. AIP Conference Proceedings, vol. 1581, no. 1, pp. 513-520 (2014).Google Scholar
  14. 14.
    Martowicz A., Bryła J., Uhl T.: Uncertainty quantification for the properties of a structure made of SMA utilising numerical model. Proceedings of the Conference on Noise and Vibration Engineering ISMA 2016 & 5th edition of the International Conference on Uncertainly in Structural Dynamics USD 2016, Katholieke University Leuven; ID 731, Leuven, Belgium, 19–21 September (2016).Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.AGH University of Science and TechnologyDepartment of Robotics and MechatronicsKrakowPoland
  2. 2.Institute of Fluid Flow MachineryPolish Academy of Sciences Department of Turbine Dynamics and DiagnosticsGdanskPoland

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