Abstract
Conical gas foil bearings (CGFBs) offer the possibility to support radial and axial loads with a single bearing and thus combine the functionality of gas foil journal bearings and gas foil thrust bearings. This work presents the first numerical model representing a rigid rotor supported by two opposing shimmed CGFBs. The effect of a varying bearing clearance or bearing distance respectively on the bearing stability behaviour is investigated. The idea behind this is that the axial force necessary to maintain bearing stability onto two opposing CGFBs can be provided by the respective other. The linear stability behaviour is investigated by evaluating the eigenvalues of the Jacobian at equilibrium positions by extracting campbell diagrams. To investigate the nonlinear stability behaviour waterfall diagrams are presented and the occurring nonlinear effects such as self-excited sub- and super-harmonic vibrations and frequency modulation are explained in detail.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Agrawal, G.L.: Foil air/gas bearing technology—an overview. In: Proceedings of the ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition, vol. 1: Aircraft Engine; Marine; Turbomachinery; Microturbines and Small Turbomachinery. Orlando, Florida, USA (1997). https://doi.org/10.1115/97-GT-347.V001T04A006
Sarrazin, M., Liebich, R.: A numerical analysis of the nonlinear dynamics of shimmed conical gas foil bearings. Appl. Sci. 13(10), 5859 (2023). https://doi.org/10.3390/app13105859
Bonello, P., Pham, H.M.: The efficient computation of the nonlinear dynamic response of a foil-air bearing rotor system. J. Sound Vib. 333(15), 3459–3478 (2014). https://doi.org/10.1016/j.jsv.2014.03.001
Bonello, P., Pourashraf, T.: A comparison of modal analyses of foil-air bearing rotor systems using two alternative linearisation methods. Mech. Syst. Sig. Process. 170, 108,714 (2022). https://doi.org/10.1016/j.ymssp.2021.108714
Larsen, J.S., Santos, I.F., von Osmanski, S.: Stability of rigid rotors supported by air foil bearings: comparison of two fundamental approaches. J. Sound Vib. 381, 179–191 (2016). https://doi.org/10.1016/j.jsv.2016.06.022
Pronobis, T., Liebich, R.: Comparison of stability limits obtained by time integration and perturbation approach for gas foil bearings. J. Sound Vib. 458, 497–509 (2019). https://doi.org/10.1016/j.jsv.2019.06.034
Ghalayini, I., Bonello, P.: Nonlinear and linearised analyses of a generic rotor on single-pad foil-air bearings using galerkin reduction with different applied air film conditions. J. Sound Vib. 525, 116,774 (2022). https://doi.org/10.1016/j.jsv.2022.116774
Baum, C., Hetzler, H., Seemann, W.: On the stability of balanced rigid rotors in air foil bearings. In: Ecker, H. (ed.) SIRM 2015—11th International Conference on Vibrations in Rotating Machines, Magdeburg, Deutschland, 23.–25. February 2015, pp. Paper–ID 52 / S. 17. Institut für Mechanik (2015)
Larsen, J.S., Santos, I.F.: On the nonlinear steady-state response of rigid rotors supported by air foil bearings–theory and experiments. J. Sound Vib. 346, 284–297 (2015). https://doi.org/10.1016/j.jsv.2015.02.017
Guan, H.Q., Feng, K., Yu, K., Cao, Y.L., Wu, Y.H.: Nonlinear dynamic responses of a rigid rotor supported by active bump-type foil bearings. Nonlinear Dyn. 100(3), 2241–2264 (2020). https://doi.org/10.1007/s11071-020-05608-4
Hamrock, B.J., Schmid, S.R., Jacobson, B.O.: Fundamentals of Fluid Film Lubrication. McGraw-Hill Series in Mechanical Engineering. Marcel Dekker, New York (2004)
Bonello, P.: The extraction of Campbell diagrams from the dynamical system representation of a foil-air bearing rotor model. Mech. Syst. Sig. Process. 129, 502–530 (2019). https://doi.org/10.1016/j.ymssp.2019.04.018
Hoffmann, R., Liebich, R.: Characterisation and calculation of nonlinear vibrations in gas foil bearing systems-an experimental and numerical investigation. J. Sound Vib. 412, 389–409 (2018). https://doi.org/10.1016/j.jsv.2017.09.040
von Osmanski, S., Larsen, J.S., Santos, I.: Modelling of compliant-type gas bearings: a numerical recipe. In: Proceedings of 13th SIRM: The 13th International Conference on Dynamics of Rotating Machinery, pp. 14–27. Technical University of Denmark (2019)
Bonello, P., Hassan, M.B.: An experimental and theoretical analysis of a foil-air bearing rotor system. J. Sound Vib. 413, 395–420 (2018). https://doi.org/10.1016/j.jsv.2017.10.036
Michel, H., Liebich, R.: Challenges in validating a thermo-hydrodynamic gas foil bearing model. J. Eng. Gas Turbines Power 143(4) (2021). https://doi.org/10.1115/1.4047769
Nguyen-Schäfer, H.: Rotordynamics of automotive turbochargers. Springer Berlin Heidelberg, Berlin, Heidelberg (2012). https://doi.org/10.1007/978-3-642-27518-0
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Sarrazin, M., Liebich, R. (2023). On the Nonlinear Dynamics of a Rigid Rotor Supported by Shimmed Conical Gas Foil Bearings. In: Okada, M. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2023. Mechanisms and Machine Science, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-031-45705-0_89
Download citation
DOI: https://doi.org/10.1007/978-3-031-45705-0_89
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-45704-3
Online ISBN: 978-3-031-45705-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)