La méthode des éléments finis en lubrification

Une revue bibliographique

Authors

  • Benyebka Bou-Saïd Laboratoire de Mécanique des Contacts INSA 20 Avenue A. Einstein 69621 F-Villeurbanne Cedex

Keywords:

Lubrication, non linearities, finite elements, review

Abstract

This paper deals with the review of the most important publications on the finite element modelling of lubricated mechanisms where flow particularities such as turbulence, overheating and fluid reactions due to its rheological properties appear. There are presented chronologically and discussed. Numerous mathematical developments and numerical simulations have performed until now. Nevertheless a lot of questions are still open such as cavitation and stress overshoot.

Downloads

Download data is not yet available.

References

[AHM 84] AHMADI, G., « On Thermodynamics of Turbulence », Bull. American Phys. Soc.,

vol. 29, 1984, p. 1529.

[AHM 85] AHMADI, G. AND BUSNAINA, A.A., « A Turbulence Model Consistent with the

Second Law of Thermodynamics », Bull. American Phys. Soc., vol. 30, 1985, p. 1692.

[BER 84] BERIS, A.N., AMSTRONG, R.C., BROWN, R.A., « Finite element calculation of

viscoelastic flow in a journal bearing: part I. Small eccentricities », Journal of Non

Newtonian Fluid Mech., vol. 16, n° 1-2, sept. 1984.

[BON 84] BONCOMPAIN, R., Les Paliers Lisses en Régime Thermohydrodynamique. Aspects

Théoriques et Expérimentaux, Thèse de Doctorat-ès-Sciences, l’Université de Poitiers,

novembre 1984.

[BON 86] BONCOMPAIN, R., FILLON, M., FRENE, « Analysis of thermal effects in

hydrodynamic bearings », ASME, J.O.T, Vol 108 ,1986, pp. 219-224.

[BOU 84] BOURGIN, P., GAY, B., « Determination of the load capacity of a finite width

journal bearing by a finite element method in the case of a non-newtonian lubricant »,

Journal of Tribology, Trans. ASME, vol. 106, n° 2, Apr. 1984, pp. 285-290.

[BOU 85] BOURGIN, P., FRANÇOIS, J.M., GAY, B., « Numerical modelling of viscous nonnewtonian

effects in lubricating systems », Int. J. Numer. Methods Fluids, vol. 5, n° 9,

Sep. 1985, pp. 831-845.

[BOU 89] BOU-SAÏD, B., CHAOMLEFFEL, J.P., « Hybrid journal bearings: Theoretical and

experimental results », ASME J.O.T., April 1989, Vol. 111 pp. 265-269.

[BOU 96] BOU-SAÏD, B., EHRET, P. « Boundary Element Method for Transient Viscoelastic

Flow: The MPPT Model », Trib. Trans., vol. 39, n° 2, pp. 314-321, 1996.

[BRA 81] BRADSHAW, P., CEBECI, T. AND WHITELAW, J.H., « Engineering Calculation

Methods for Turbulent Flow », Academic press, 1981.

[BRE 82] BREBBIA, C.A., « Boundary Element Methods in Engineering », Proceedings of the

Fourth International Seminar, Southampton, England, September 1982, pp. 1-649.

[BUR 74] BURTON, R.A., « Approximation in Turbulent Film Analysis », Journal of

Lubrication Technology, Trans. ASME, Series F, vol. 96, 1974, p. 103.

[BUS 87] BUSNAINA, A.A., AHMADI, G. AND CHOWDHURY, S.J., « A Two-Equation

Turbulence Model Consistent with the Second law of Thermodynamics », AIAA J.

vol. 25, 1987, pp. 1543-1544.

[CAH 99] CAHOUËT V., BAILLET L., MEURISSE M.H., BOU-SAÏD B. , « Direct and indirect

approaches of the plasto-hydrodynamic lubrication problem. Application to an industrial

ironing process », ASME J.O.T, July 1999, Vol. 121, n° 3, pp.523-528.

[CHA 81] CHAOMLEFFEL, J.P. « Influence des forces d’inertie en lubrication hybride », Thèse

de Dr.-Ingénieur, INSA Lyon, 1981.

[CHO 59] CHOU, V.T., SAIBEL, E., « The Effect of Turbulence on Slider Bearing

Lubrication », Journal of Applied Mechanics, Trans. ASME, series E, vol. 26, vol. 80,

, p. 122.

[CHO 86] CHOWDHURY, S.J., AHMADI, G.,« Thermohydrodynamic Analysis of Wide Thrust

Bearings Operating in Turbulent Inertia FLow Regimes », Report nø MIE-138, Clarkson

University, Potsdam, N.Y., 1986.

[CON 59] CONSTANTINESCU, V.N., « On Turbulent Lubrication », Proceedings of the

Institution of Mechanical Engineers, vol. 173, 1959, p. 881.

[CON 62] CONSTANTINESCU, V.N.,« Analysis of Bearings Operating in the Turbulent

Regime », Journal of Basic Engng. Trans., ASME, series D, vol. 84, 1962, p. 139.

[CON1 70] CONSTANTINESCU, V.N., « On the Influence of Inertia Forces in Turbulent and

Laminar Self-Acting Films », Journal of Lubrication Technology, Trans., ASME, series

F, vol. 92, 1970, p. 473.

[CON2 70] CONSTANTINESCU, V.N., PAN, C.H., SMALLEY, A.J., VOHR, J.H., « Lubrication

Phenomena in a Film of Low Kinematic Viscosity », Revue Roumaine Sc. Mech. Appl.,

Tome 15, n° 2, pp. 479-509, 1970.

[CON 74] CONSTANTINESCU, V.N. AND GALETUSE, S., « On the possibilities of Improving the

Accuracy of the Evaluation of Inertia Forces in Laminar and Turbulent Films », Journal

of Lubrication Technology, Trans., ASME, Series F, vol. 96, 1974, p. 69.

[CON 75] CONSTANTINESCU, V.N., GALETUSE, S. AND KENNEDY, F., « On Comparison

Between Lubrication Theory, Including Turbulence and Inertia Forces, and Some

Existing Experimental Data », Journal of Lubrication Technology, Trans., ASME, Series

F, vol. 97, 1975, p. 439.

[CON 82] CONSTANTINESCU, V.N. AND GALETUSE, S., « Operating Characteristics of Journal

Bearings in Turbulent Inertial Flow », Journal of Lubrication Technology, Trans., ASME,

Series F, vol. 104, 1982, p. 173.

[COP 49] COPE, W.F., « A Hydrodynamical Theory of Film Lubrication », Proc. Roy. Soc.

London, Ser. A, Vol. 197, 1949, p. 201.

[DAL 70] DALY, B. AND HARLOW, F.H., « Turbulent Transport Modeling », Phys. Fluids,

vol. 13, 1970, p. 2634.

[DER 89] DERDOURI, A., CARREAU, P.J., « Non-Newtonian and Thermal Effects in Journal

Bearings »,. Trans. ASLE, 1989, vol. 32, n° 2, p. 161.

[DIE 83] DIEN, I.K., ELROD, H.G., « A Generalized Steady-State Reynolds Equation for Non-

Newtonian Fluids with Application to Journal Bearings », Journal of Lubrication

Technology, Trans. ASME, 1983, vol. 105.

[DOW 63] DOWSON, D., HUDSON, J.D. « The thermohydro-dynamic analysisof the infinite

slider bearing », Lub., Wear Conv., I.M.E., pp. 31-42, 1963.

[DOW 77] DOWSON, D., GODET, M. AND TAYLOR, C.M., « Superlaminar Flow in Bearings »,

Mechanical Engineering publication Limited, London, 1977.

[EHR 93] EHRET, P., « Contribution à l’Etude du Comportement de Mécanismes Lubrifiés

sous Chargements Transitoires »,Thèse de Doctorat, INSA Lyon, 1993, n° 93 ISAL 0019.

[EZZ 73] EZZAT, H.A., ROHDE, S.M.,« A study of the thermo-hydrodynamic performance of

finite slider bearings », ASME J.of Lub. Tech, vol. 95, pp. 298-307, 1973.

[FER 82] FERRON, J. AND FRENE, J., « Etude Thermohydrodynamique des Paliers Lisses,

Résultats Expérimentaux », Compte-rendu de fin d’étude d’une recherche financée par la

DGRST - Décision d’aide n° 80-7-0657, juillet 1982.

[FER 83] FERRON, J. AND FRENE, J., BONCOMPAIN R., « A study of the thermohydrodynamic

performance of a plain journal bearing . Comparison between theory and experiments »,

ASME, J. of Lub. Tech., Vol 105, n° 3, July 1983 pp. 422-428.

[FOG 46] FOGG, A., « Fluid Film Lubrication of parallel Thrust Surfaces », Proc. I. Mech. E.,

London, vol. 155, 1946, p. 49.

[FRA 87] FRANÇOIS, J.M., « Modélisation d’Ecoulements en Film Mince de Fluides Non

newtoniens, Application à la Prédiction des Caractéristiques de Fonctionnement des

Mécanismes Lubrifiés », Thèse de Doctorat, Université Claude Bernard, Lyon I, 1987.

[GAR 99] GARNIER T., BONNEAU D., GRENTE C. « Three dimensional E.H.D behavior of the

black /crankshaft assembly for a foir cylindre inline automotive engine », ASME J.O.T

October 1999, Vol. 121, pp. 721-730.

[GOY 91] GOYAL, K.C., SINHASAN, R., « Elastohydrodynamic studies of two-lobe journal

bearings with non-newtonian lubricants », Wear, vol. 145, n° 2, May 1991, p. 329-345.

[HAH 69] HAHN, E.J., KETTLEBOROUGH, G.F., « Solution for the pressure and the temperature

in an infinite slider bearing of arbitrary profile », ASME-JOLT, pp. 445-452, 1969.

[HAN 72] HANJALIC, K. AND LAUNDER, B.E., « A Reynolds Stress Model of Turbulence and

Its Application to Thin Shear Flows »,. J. Fluid Mech., vol. 52, 1972, p. 609.

[HAN 76] HANJALIC, K. AND LAUNDER, B.E.,« Contribution Towards a Reynolds-Stress

Closure for Low Reynolds Number Turbulence », J. Fluid. Mech., vol. 74, 1976, p. 593.

[HAR 74] HARNOY, A., HANIN, M.,« Second-Order, Elastico-Viscous Lubricants in

Dynamically Loaded Bearings », Trans. ASLE, 1974, vol. 17, p. 166.

[HAR 76] HARNOY, A., PHILIPPOFF, W., « Investigation of Elastico-Viscous hydrodynamic

Lubrication of Sleeve Bearing », Trans. ASLE, 1976, vol. 19, p. 301.

[HAR 78] HARNOY, A., « An Analysis of Stress Relaxation in Elastico-Viscous Fluid

Lubrication of Journal Bearings », Journal of Lubrication Technology, Trans. ASME,

, Vol. 100, p. 287.

[HAS 84] HASHIMOTO, H., WADA, S., TSUNODA, H., « Performance characteristics of elliptical

journal bearings in turbulent flow regime », Bull JSME, vol. 27, n° 232, Oct. 1984,

pp. 2265-2271.

[HIL 95] HILL, D.L., BASKHARONE, E.A., SAN ANDRES, L., « Inertia effects in a hybrid

bearing with a 45 degree entrance region », ASME, Journal of Tribology, vol. 117, n° 3,

Jul. 1995, pp. 498-505.

[HIR 74] HIRS, G.G., « A Systematic Study of Turbulent Film Flow », Journal of Lubrication

Technology, Trans. ASME, Series F, vol. 96, 1974, p. 118.

[HO 74] HO, MEIN-KAI AND VOHR, J.G., « Application of Energy Model of Turbulence to

Calculation of Turbulent Films »., Journal of Lubrication Technology, Trans. ASME,

series F, vol. 96, Special Issue on Turbulence, 1974, p. 95.

[HUG 58] HUGUES, W.F., OSTERLE, F., « Temperature effects in journal bearing lubrication »,

Trans. Am. Soc. Lubr. Engrgs., vol. 1, n° 1, 1958.

[HUT 84] HUTTON, J.F., JACKSON, K.P., WILLIAMSON, B.P.,« The Effects of Lubricant

Rheology on the Performance of Journal Bearings », Trans. ASLE, 1984, vol. 29, p. 52.

[ING 87] INGHAM, D.B., RITCHIE, J.A., TAYLOR, C.M., « The Boundary Element Method in

Lubrication Analysis », Fluid Film Lubrication - Osborne Reynolds Centenary.

Proceedings of Leeds-Lyon Symposium, 1987, p. 431-441.

[JEN 86] JENG, M.C., ZHOU, G.R., SZERI, A.Z., ASME, Journal of Tribology, vol. 108,

pp. 208-213, 1986.

[JON 72] JONES, W.P. AND LUANDER, B.E., « The Prediction of Laminarization with a Two-

Equation Model of Turbulence », Int. J Heat and Mass Transfer, vol. 15, 1972, p. 301.

[JON 73] JONES, W.P. AND LAUNDER, B.E., « The Calculation of Low-Reynolds-Number

Phenomena with a Two Equation Model of Turbulence », Int. J. Heat and Mass Transfer,

vol. 16, 1973, p. 1189.

[KAH 48] KAHLERT, W., « Der Einfluss der tragheit Skräfte bei der Hydrodynamischen

Schmiermittel-theorie », Ingenieur Archiv., vol. 16, p. 321-342, 1948.

[KIN 77] KING, K.F. AND TAYLOR, C.M., « An Estimation of the Effect of Fluid Inertia on

the Performance of the Plane Inclined Slider Thrust Bearing with Particular Regard to

Turbulent Lubrication », Journal of Lubrication Technology,Trans. ASME, vol. 99, 1977,

p. 129.

[KNI 83] KNIGHT, J.D., BARRETT, L.E., « Approximate solution technique for multilobe

journal bearings including thermal effects with comparison to experiment », Trans. ASLE,

vol. 26, n° 4, Oct. 1983, pp. 501-508.

[LAU 78] LAUNDER, B.E. AND LESCHZINER, M.A., « Flow in Finite-Width Thrust Bearings

Including Inertial Effects, II-Turbulent Flow », Journal of Lubrication Technology,

Trans. ASME, Series F, vol. 100, 1978, p. 339.

[LIN 92] LIN, X., SUN, M., « Finite element analysis of journal bearings in the case of nonnewtonian

lubricants », Journal of Hydrodynamics, vol. 4, n° 2, Apr 1992, p. 17-23.

[LUA 75] LUANDER, B.E., REECE, G.J. AND RODI, W., « Progress in the Development of a

Reynolds-Stress Turbulent Closure », J. Fluid Mech., vol. 68, 1975, p. 537.

[LUM 74] LUMBLEY, J.L. AND KHAJEH-NOURI, B., « Computation of Turbulent Transport »,

Advances in Geophysics, vol. A18, 1974, pp. 169-192.

[LUM1, 80] LUMBLEY, J.L., « Computational Modeling of Turbulent Flows », Edited by W.

Kollmann, Hemisphere Publishing Corp., 1980, p. 123.

[LUM2,80] LUMBLEY, J.L., « Second Order Modeling of Turbulent Flows », Edited by W.

Kollmann, Hemisphere Publishing Corp., 1980, p. 1.

[LUN1, 84] LUND, J.W., TONNESEN, J., « An approximate analysis of the temperature

conditions in a journal bearing », Part II, Application, ASME-JOLT, vol. 106, pp. 237-

, April 1984.

[LUN2, 84] LUND, J.W., HANSEN, P.K., « An approximate analysis of the temperature

conditions in a journal bearing », Part I, Theory, ASME-JOLT, vol. 106, p. 228-236, April

[MIL 59] MILNE, A.A., « On the Effect of Lubricant Inertia in the Theory of Hydrodynamic

Lubrication », Journal of Basic Engineering, Trans. ASME, vol. 81, n° 2, pp. 239-244,

[MOD 78] MODEST, M.F., TICHY J.A., « Squeeze Film Flow in Arbitrary Shaped Journal

Bearings Subject to Oscillations », Journal of Lubrication Technology, Trans. ASME,

Vol. 100, n° 2, 1978, pp. 323-329.

[NAJ 89] NAJJI, B., Effets non newtoniens dans les paliers : étude statique et dynamique par

éléments finis, Thèse de Docteur d’Etat-ès-Sciences, Ecole Mohammadia d’Ingénieurs,

Université Mohammed V Novembre 1989.

[NAJ 93] NAJJI, B., BOU-SAÏD, B., « Mixed model to predict static and dynamic performances

of slider and journal bearings lubricated with non-newtonian fluids », AMD, vol. 175,

, pp. 91-100.

[NG 64] NG, C.W., « Fluid Dynamic Foundation of Turbulent Lubrication Theory », A.S.L.E.

Trans., vol. 7, 1964, p. 311.

[NG 65] NG, C.W., PAN, C.W.T., « A Linearized Turbulent Lubrication Theory », Journal of

Basic Engng., Trans. ASME, vol. 87, 1965, p. 675.

[NIC 79] NICOLAS, D., « Les Régimes Non-Laminaire en Lubrification, Réduction du

Frottement par Addition de Polymères », Thèse de Doctorat d’Etat, INSA Lyon, 1979,

n° I-DE 7909.

[OKR 61] OKRENT, E.H., « The Effect of Lubricant Viscosity and Composition on Engine

Friction and Bearing Wear », Trans. ASLE, 1961, vol. 4, p. 97.

[PAR 95] PARANJPE, T. HAN, « A transient thermohydrodynamic analysis including mass

conservation cavitation for dynamically loaded journal bearing », ASME, J.O.T, July 1995

Vol. 117 p. 369-378.

[RAI 58] RAIMONDI, A.A., Boyd, J., Trans. ASLE, vol. 1, p. 159-209, 1958.

[REI 56] REICHARDT, H., « Uber die Geschwindigkeitsverteilung in einger gradlinigen

turbulenten Couettestromung »,. ZAMM special supplement, S 26, 1956.

[REY 86] REYNOLDS, O., « On the Theory of Lubrication and its Application to M.

Beauchamp Tower’s Experiments », Phil. Trans. Roy. Soc., London, 1886, A177, p. 157.

[ROD 78] RODI, W., « Examples of Turbulence Models for Incompressible Flows », in

Advances in Applied Mechanics, vol. 18, Edited by C-S Yih, Academic Press, 1978.

[ROT 51] ROTTA, J., « Statistische Theorie nichthomogener Turbulenz », Zeitsch. fur Physik,

vol. 129, 1951, p. 547.

[SAF 74] SAFAR, Z., SZERI, A.Z., « Thermohydrodynamic lubrication in laminar and turbulent

regimes », ASME-JOLT, vol. 96, n° 1, p. 48-57, 1974.

[SAI 74] SAIBEL, E.A., MACKEN, N.A., « Nonlinear Behavior In Bearings : A Critical Review

of the Literature », Journal of Lubrication Technology, Trans. ASME, Series F, vol. 96,

, p. 174.

[SAN 71] SAN ANDRES, L.A., VANCE, J.M., « Effects of fluid inertia on finite-length squeezefilm

dampers », ASLE Transactions, Vol 30, n° 3, 1971, pp. 384-393.

[SHI 98] SHI F, Q. WANG, « A mixed T.E.H.D model for journal bearing conformal contacts-

Part I : Model formulation and approximation of heat transfer considering asperity

contact », ASME J.O.T., April 1998, Vol. 120, pp. 198-205.

[SHI 98] SHI F, Q. WANG, « A mixed T.E.H.D model for journal bearing conformal contacts-

Part II: contact, film thickness and performance analysis », ASME J.O.T., April 1998, Vol.

pp. 206-212.

[SIN 83] SINGH, D.V., SINHASAN, R., TAYAL, S.P., « Analysis of three-lobe bearings having

non-newtonian lubricants by a finite element method », Trans. Can. Soc. Mech. Eng., vol.

, n° 1, 1983, p. 7-11.

[SLE 46] SLEZKIN, N.A., TARG, S.M., « L’équation généralisée de Reynolds », C.R. Acad. Sc.

de l’URSS, vol. 54, n° 3, p. 205-208, 1946.

[SUG 79] SUGANAMI, T., SZERI, A.Z., « Thermohydrodynamic analysis of journal bearings ».

Trans. ASME, Journal of Lub. Tech., vol. 101, n° 1, Jan. 1979, pp. 21-27.

[SWA 75] SWAMY, S.T., PRABHU, B.S., RAO, B.V., « Calculated Load Capacity of Non-

Newtonian Lubricants in Finite Width Journal Bearings », Wear, 1975, Vol. 31, p. 277.

[SZE 80] SZERI, A.Z., « Tribology, Friction, Lubrication and Wear », Hemisphere publishing

corp., New-York, 1980.

[SZE 87] SZERI, A.Z., « Some Extensions of the Lubrication Theory of Osborne Reynolds »,

Journal of Tribology, Trans. ASME, January 1987, vol. 109, pp. 21-39.

[TAN 69] TANNER, R.I., « Increase of Bearings Loads Due to Large Normal Stress

Differences in Viscoelastic Lubricants », Journal of Applied Mechanics, Trans. ASME,

, p. 634.

[TAO 67] TAO, F.F., PHILIPPOFF, W., « Hydrodynamic Behavior of Viscoelastic Liquids in a

Simulated Journal Bearing »,. Trans. ASLE, 1967, vol. 10, p. 302.

[TAY 74] TAYLOR, C.M. AND DOWSON D., « Turbulent Lubrication Technology », Trans.

ASME, Journal of Lubrication Technology, Series F, vol. 96, 1974, p. 37.

[TAY 82] TAYAL, S.P., SINHASAN, R., SINGH, O.V., « Analysis of Hydrodynamic Journal

Bearings having Non-Newtonian Lubricants Using the Finite Element Method » , Trans.

ASLE, 1982, vol. 25, p. 410.

[TIC 70] TICHY, J.A., WINER, W.O., « Inertial Considerations in Parallel Circular Squeeze

Film Bearings », Journal of Lubrication Technology, Trans. ASME, 1970, pp. 588-592.

[TIC 78] TICHY, J.A., WINER, W.O., « An Investigation into the Influence of Fluid

Viscoelasticity in a Squeeze Film Bearing »,. Journal of Lubrication Technology, Trans.

ASME, January 1978, vol. 100, pp. 57-64.

[WAN 01] WANG P., KEITH T.G., VAIDYANATHAN K., « Combined surface roughness pattern

and non-newtonian effects on the performance of dynamically loaded journal bearing »,

STLE preprint n° 01-TC-22.

[ZIE 57] ZIENKIEWICZ, O.C., « Temperature distribution within lubricating films between

parralel surfaces and its effect on the pressure developed », Proc. Conf. Lub. Wear.,

I.M.E., pp. 135, 1957.

[ZOR 98] ZORKELBACK N ., ANDRES L .S., « F.E analysis of Herringbone groove journal

bearings : a parametric study »,. ASME J.O.T, April 1998, Vol. 120, pp. 234-240.

Downloads

Published

2001-10-20

How to Cite

Bou-Saïd, B. . (2001). La méthode des éléments finis en lubrification: Une revue bibliographique. European Journal of Computational Mechanics, 10(6-7), 637–652. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/2685

Issue

Section

Original Article