An “inverse” formulation is described for general problems of unsteady elastohydrodynamic lubrication (EHL). Spatial discretization gives an explicit initial-value ordinary differential equation (ODE) problem with (interior) nodal film thicknesses as state variables. Numerical results are compared with published experimental results for normal approach of a spherical surface to an elastic foundation.
Issue Section:
Elastohydrodynamic Lubrication
References
1.
Booker
, J. F.
, Boedo
, S.
, and Bonneau
, D.
, 2010
, “Conformal EHL Analysis for Engine Bearing Design: A Brief Review
,” Proc. IMechE Part C J. Mech. Eng. Sci.
, 224
(12
), pp. 2648
–2653
.2.
Boedo
, S.
, 2015
, “Transient Dynamics of the Conformal Elastohydrodynamic Squeeze Film Problem
,” ASME J. Tribol.
, 137
(4
), p. 041506
.3.
Booker
, J. F.
, 2005
, “Unsteady EHL: An Inverse Hydrodynamic Formulation
,” Life Cycle Tribology
, D.
Dowson
, M.
Priest
, G.
Dalmaz
, and A. A.
Lubrecht
, eds., Elsevier
, Amsterdam, The Netherlands
, pp. 65
–72
.4.
Booker
, J. F.
, and Shu
, C. F.
, 1984
, “Finite Element Analysis of Transient Elasto-Hydrodynamic Lubrication
,” Developments in Numerical and Experimental Methods Applied to Tribology
, D.
Dowson
, C. M.
Taylor
, and M.
Godet
, eds., Butterworths
, London
, pp. 157
–163
.5.
Kumar
, A.
, Goenka
, P. K.
, and Booker
, J. F.
, 1990
, “Modal Analysis of Elastohydrodynamic Lubrication: A Connecting Rod Application
,” ASME J. Tribol.
, 112
(3
), pp. 524
–534
.6.
Boedo
, S.
, and Booker
, J. F.
, 1997
, “Surface Roughness and Structural Inertia in a Mode-Based Mass-Conserving Elastohydrodynamic Lubrication Model
,” ASME J. Tribol.
, 119
(3
), pp. 449
–455
.7.
Booker
, J. F.
, and Boedo
, S.
, 2004
, “Unsteady EHL: ‘Nodal’ Versus ‘Modal’ Formulations
,” IUTAM Symposium on Elastohydrodynamics and Micro-Elastohydrodynamics
, Cardiff, UK, Sept. 1–3, pp. 71
–80
.8.
Kothari
, M.
, Booker
, J. F.
, and Bartel
, D. L.
, 1995
, “Analysis of Artificial Hip Joints as Spherical Bearings
,” Lubricants and Lubrication
, D.
Dowson
, C. M.
Taylor
, T. H. C.
Childs
, and G.
Dalmaz
, eds., Elsevier
, Amsterdam, The Netherlands
, pp. 93
–98
; 671–672.9.
Booker
, J. F.
, and Boedo
, S.
, 2007
, “Spherical vs. cylindrical Engine Bearings
,” ASME
Paper No. IJTC2007-44448.10.
Gaman
, I. D. C.
, Higginson
, G. R.
, and Norman
, R.
, 1974
, “Fluid Entrapment by a Soft Surface Layer
,” Wear
, 28
(3
), pp. 345
–352
.11.
van Leeuwen
, H.
, Haagh
, G.
, and van Bavel
, P.
, 1995
, “Transient EHD Lubrication Concentrated Line Contacts—Part 1: Steady-State Pure Squeeze Cases
,” Lubricants and Lubrication
, D.
Dowson
, C. M.
Taylor
, T. H. C.
Childs
, and G.
Dalmaz
, eds., Elsevier
, Amsterdam, The Netherlands
, pp. 525
–543
.12.
Higginson
, G. R.
, and Norman
, R.
, 1974
, “A Model Investigation of Squeeze-Film Lubrication in Animal Joints
,” Phys. Med. Biol.
, 19
(6
), pp. 785
–792
.13.
Higginson
, G. R.
, 1978
, “Squeeze Films Between Compliant Solids
,” Wear
, 46
(2
), pp. 387
–395
.14.
Johnson
, K. L.
, 1987
, Contact Mechanics
, Cambridge University Press
, Cambridge, UK
.15.
Shampine
, L. F.
, and Reichelt
, M. W.
, 1997
, “The MATLAB ODE Suite
,” SIAM J. Sci. Comput.
, 18
(1
), pp. 1
–22
.16.
Gear
, G. W.
, 1971
, Numerical Initial Value Problems in Ordinary Differential Equations
, Prentice Hall
, Englewood Cliffs, NJ
, p. 253
.17.
Boedo
, S.
, and Booker
, J. F.
, 2000
, “A Mode-Based Elastohydrodynamic Lubrication Model With Elastic Journal and Sleeve
,” ASME J. Tribol.
, 122
(1
), pp. 94
–102
.18.
Frêne
, J.
, Nicolas
, D.
, Degueurce
, B.
, Berthe
, D.
, and Godet
, M.
, 1990
, Lubrification Hydrodynamique: Paliers Et Butées
, Editions Eyrolles
, Paris, UK
.19.
Hamrock
, B. J.
, 1994
, Fundamentals of Fluid Film Lubrication
, McGraw-Hill
, New York
.20.
Booker
, J. F.
, and Huebner
, K. H.
, 1972
, “Application of Finite-Element Methods to Lubrication: An Engineering Approach
,” ASME J. Lubr. Technol.
, 94
(4
), pp. 313
–323
.21.
Booker
, J. F.
, and Huebner
, K. H.
, 1976
, “Erratum: ‘Application of Finite Element Methods to Lubrication: An Engineering Approach’ (ASME J. Lubr. Technol., 1972, 94(4), pp. 313–323)
,” ASME J. Lubr. Technol.
, 98
(1), p. 39.22.
Booker
, J. F.
, and Boedo
, S.
, 2001
, “Finite Element Analysis of Elastic Engine Bearing Lubrication: Theory
,” Revue Européenne Des Eléments Finis
, 10
(6–7
), pp. 705
–724
.23.
Boedo
, S.
, 2013
, “A Corrected Displacement Solution to Linearly Varying Surface Pressure Over a Triangular Region on the Elastic Half-Space
,” Tribol. Int.
, 60
, pp. 116
–118
.Copyright © 2018 by ASME
You do not currently have access to this content.