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Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions

Bailey, N. Y.; Hibberd, Stephen; Power, H.

Authors

N. Y. Bailey

Stephen Hibberd

H. Power



Abstract

A gas lubricated bearing model is derived which is appropriate for a very small bearing face separation by including velocity slip boundary conditions and centrifugal inertia effects. The bearing dynamics are examined when an external harmonic force is imposed on the bearing due to bearing begin situated within a larger complex dynamical system. A compressible Reynolds equation is formulated for the gas film which is coupled to the bearing structure through an axial force balance where the rotor and stator correspond to spring-mass-damper systems. Surface slip boundary conditions are derived on the bearing faces, characterised by the slip length parameter. The coupled bearing system is analysed using a stroboscopic map solver with the modified Reynolds equation and structural equations solved simultaneously. For a sufficiently large forcing amplitude a apping motion of the bearing faces is induced when the rotor and stator are in close proximity. The minimum bearing gap over the time period of the external forcing is examined for a range of bearing parameters.

Citation

Bailey, N. Y., Hibberd, S., & Power, H. (2017). Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions. Journal of Fluid Mechanics, 818, 68-99. https://doi.org/10.1017/jfm.2017.142

Journal Article Type Article
Acceptance Date Feb 8, 2017
Online Publication Date Mar 28, 2017
Publication Date 2017-05
Deposit Date Mar 6, 2017
Publicly Available Date Mar 28, 2017
Journal Journal of Fluid Mechanics
Print ISSN 0022-1120
Electronic ISSN 1469-7645
Publisher Cambridge University Press (CUP)
Peer Reviewed Peer Reviewed
Volume 818
Pages 68-99
DOI https://doi.org/10.1017/jfm.2017.142
Public URL http://eprints.nottingham.ac.uk/id/eprint/41095
Publisher URL https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/dynamics-of-a-small-gap-gas-lubricated-bearing-with-navier-slip-boundary-conditions/5132AED92CA4F75D37D7096BA161E2BF
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
Additional Information License: © 2017 Cambridge University Press

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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