The Classical Linearization Technique’s Validity for Compliant Bearings

Sebastian von Osmanski, Jon S. Larsen, Ilmar F. Santos

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The Gas Foil Bearing (GFB) is a promising and environmentally friendly technology allowing support of high-speed rotating machinery with low power loss and without oil or electronics. Unfortunately, GFBs provide limited damping, making an accurate prediction of the Onset Speed of Instability (OSI) critical. This has traditionally been assessed using linearised coefficients derived from the perturbed Reynolds Equation with compliance included implicitly. Recent work has, however, revealed significant discrepancies between OSIs predicted using these techniques and those observed from nonlinear analysis. In the present work, the perturbation method’s underlying assumption on the pressure field is investigated by including the hitherto neglected pressure–compliance dependency directly. This leads to an extended perturbation akin to that commonly applied to tilting pad bearings and is shown to predict OSIs with much better agreement to time integration results. The extended perturbation method is cumbersome, but serves to highlight the error introduced when applying the classical perturbation method—as developed for rigid bearings by J. W. Lund—to GFBs.
Original languageEnglish
Title of host publicationProceedings of the 10th International Conference on Rotor Dynamics (IFToMM 2018)
EditorsKatia Lucchesi Cavalca, Hans Ingo Weber
Publication date2018
ISBN (Print)978-3-319-99261-7
ISBN (Electronic)978-3-319-99262-4
Publication statusPublished - 2018
Event10th International Conference on Rotor Dynamics - Rio de Janeiro, Brazil
Duration: 23 Sep 201827 Sep 2018
Conference number: 10


Conference10th International Conference on Rotor Dynamics
CityRio de Janeiro
SeriesMechanisms and Machine Science


  • Gas Foil Bearings
  • Pertubation
  • Stability

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