Abstract
Developments in industrial applications motivate improvements in fluid lubricated bearing technology, enabling smaller face clearances and increased rotation rates. Associated film lubrication technology aims to improve efficiency and reliability. A bearing model is developed to evaluate the effect of external, potentially destabilising, random forcing applied to a pair of highly rotating axisymmetric bearing faces, separated by a thin fluid film. Two cases of random external force are examined. A first study considers an imposed random force disturbance constrained to a fixed period, where the average minimum face clearance together with the probability it reaches a specified gap tolerance. More general uncertainties are associated with more complex external forcing and takes the form of a white or coloured noise. In this case the average time for the face clearance to reach a prescribed tolerance is examined.
Results can inform bearing design, providing an indication of the effect of disturbances on the average lifetime and identify constraints on operating conditions for safe and reliable behaviour.
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References
Green I, Etison I (1983) Fluid film dynamic coefficients in mechanical face seals. J Lubr Technol 105:297–302
Etison I (1980) Squeeze effects in radial face seals. J Lubr Technol 102(2):145–151
Salbu EOJ (1964) Compressible squeeze films and squeeze bearings. J Basic Eng 86(2):355–364
Garratt JE, Cliffe KA, Hibberd S, Power H (2012) Centrifugal inertia effects in high speed hydrostatic air thrust bearings. J Eng Math 76(1):59–80
Bailey NY, Cliffe KA, Hibberd S, Power H (2013) On the dynamics of a high speed coned fluid lubricated bearing. IMA J Appl Math 79(3):535–561
Sayma AI, Bréard C, Vahdati M, Imregun M (2002) Aeroelasticity analysis of air-riding seals for aero-engine applications. J Tribol 124(3):607–616
Park DJ, Kim CH, Jang GH, Lee YB (2008) Theoretical considerations of static and dynamic characteristics of air foil thrust bearing with tilt and slip flow. Tribol Int 41:282–295
Bailey NY, Cliffe KA, Hibberd S, Power H (2014) Dynamics of a parallel, high-speed, lubricated thrust bearing with Navier slip boundary conditions. IMA J Appl Math 80:1409–1430
Bailey NY, Cliffe KA, Hibberd S, Power H (2016) Dynamics of a high speed coned thrust bearing with a Navier slip boundary condition. J Eng Math 97:1–24
Bailey NY, Hibberd S, Power H (2017) Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions. J Fluid Mech 818:68–99
Bailey NY, Cliffe KA, Hibberd S, Power H (2015) Probability of face contact for a high-speed pressurised liquid film bearing including a slip boundary condition. Lubricants 3:493–521
Hammersley JM, Handscomb DC, Weiss G (1965) Monte Carlo methods. Phys Today 18:55
Hasminskii RZ (1980) Stochastic stability of differential equations. Sijthoff & Noordhoff, Alphen aan den Rijn
Bendat JS (1977) Principles and application of random noise theory. Robert E. Krieger Publishing Company, Huntington
Hänggi P, Jung P (1995) Coloured noise in dynamical systems. In: Prigogine I, Rice SA (eds) Advances in chemical physics, vol LXXXIX, pp 239-326. Wiley
Milstein GN, Tretyakov MV (2002) The simplest random walks for the Dirichlet problem. Theory Probab Appl 47:53–68
Milstein GN, Tretyakov MV (2004) Stochastic numerics for mathematical physics. Springer, Heidelberg
Bailey NY, Hibberd S, Power H, Tretyakov MV (2018) Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations. J Eng Math
Bailey NY, Hibberd S, Power H, Tretyakov MV (submitted) Effect of random forcing on fluid lubricated bearing. IMA J Appl Math
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Bailey, N.Y., Hibberd, S., Power, H., Tretyakov, M.V. (2019). Effect of Uncertainty in External Forcing on a Fluid Lubricated Bearing. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM. IFToMM 2018. Mechanisms and Machine Science, vol 63. Springer, Cham. https://doi.org/10.1007/978-3-319-99272-3_31
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DOI: https://doi.org/10.1007/978-3-319-99272-3_31
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