Transient elastohydrodynamic point contact analysis using a new coupled differential deflection method Part 1: Theory and validation

Abstract

The paper presents a transient analysis technique for point contact elastohydrodynamic (EHL) lubrication problems using coupled elastic and hydrodynamic equations. Full coupling is made possible by use of a novel differential deflection formulation. The way in which the differential deflection is incorporated into the overall solution method for a point contact is discussed. A range of spatial and temporal discretization methods are incorporated and compared. The method is validated under transient conditions by a detailed comparison with published work produced using a different, independent method incorporating a moving roughness feature.

A comparison of the results with different discretization methods leads to the conclusion that spatial central differencing with a Crank-Nicolson temporal discretization is the most effective finite difference scheme, and this is generally equivalent to the finite element discretization given in detail in the paper. A comparison of the results produced for moving rough surfaces suggests that the finite element formulation is preferred.

Keywords

point contact EHL non-Newtonian transient coupled method differential deflection

Get full access to this article

View all access options for this article.

References

Evans

H. P.

Hughes

T. G.

Evaluation of deflection in semi-infinite bodies by a differential method

Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2000, 214 (C4), 563–584.

Hughes

T. G.

Elcoate

C. D.

Evans

H. P.

Coupled solution of the elastohydrodynamic line contact problem using a differential deflection method

Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2000, 214 (C4), 585–598.

Elcoate

C. D.

Evans

H. P.

Hughes

T. G.

Snidle

R. W.

Transient elastohydrodynamic analysis using a novel coupled differential deflection method

Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2001, 215 (J4), 319–337.

Tao

Hughes

T. G.

Evans

H. P.

Snidle

R. W.

Hopkinson

N. A.

Starbuck

Talks

Elastohydrodynamic lubrication of gear teeth in micropitting tests

Trans. ASME, J. Tribology, 2003 (to appear).

Tao

Hughes

T. G.

Evans

H. P.

Snidle

R. W.

Elastohydrodynamic response of transverse ground gear teeth.

In Proceedings of the 28th Leeds-Lyon Symposium on Tribology, Vienna, 2002, pp. 447–458 (Elsevier, Amsterdam).

Venner

C. H.

Lubrecht

A. A.

Numerical simulation of a transverse ridge in a circular EHL contact under rolling/sliding

Trans. ASME, J. Tribology, 1994, 116, 751–761.

Dowson

Higginson

G. R.

Elastohydrodynamic Lubrication, 1966 (Pergamon Press, Oxford).

Jiang

Hua

D. Y.

Cheng

H. S.

Lee

S. C.

Mixed elastohydrodynamiclubrication model with asperity contact

Trans. ASME, J. Tribology, 1999, 121, 481–491.

Okamura

A contribution to the numerical analysis of isothermal elastohydrodynamiclubrication. In Proceedings of the 9th Leeds-Lyon Symposium on

Tribology, Tribology of Reciprocating Engines, Leeds, 1982, pp. 313–320 (Butterworths, London).

10.

Houpert

L. G.

Hamrock

B. J.

Fast approach for calculating film thicknesses and pressures in elastohydrodynamically lubricated contacts at high loads

Trans. ASME, J. Tribology, 1986, 108, 411–420.

11.

Sharif

K. J.

Kong

Evans

H. P.

Snidle

R. W.

Contact and elastohydrodynamic analysis of worm gears. Part 1: Theoretical formulation

Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2001, 215 (C7), 817–830.

12.

Brandt

Lubrecht

A. A.

Multilevel matrix multiplication and fast solution of integral equations

J. Comput. Phys., 1990, 90, 348–370.

13.

Liu

Wang

Liu

A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses

Wear, 2000, 243, 101–111.

14.

Johnson

K. L.

Tevaarwerk

J. L.

The shear behaviour of elastohydrodynamic oil films

Proc. R. Soc. Lond., 1977, A356, 217.

15.

Holmes

M. J. A.

Transient analysis of the point contact elastohydrodynamic lubrication problem using coupled solution methods. PhD thesis, Cardiff University, 2002.

16.

Sharif

K. J.

de Ling

Barregan F.

de Martin

M. J.

Alanou

M. P.

Evans

H. P.

Snidle

R. W.

Film thickness predictions for elastohydrodynamic elliptical contacts over a wide range of radius ratios

Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2000, 214 (J1), 63–78.

17.

Patching

M. J.

Kweh

C. C.

Evans

H. P.

Snidle

R. W.

Conditions for scuffing failure of ground and superfinished steel disks at high sliding speeds using a gas turbine engine oil

Trans. ASME, J. Tribology, 1995, 117, 482–489.

18.

Holmes

M. J. A.

Evans

H. P.

Hughes

T. G.

Snidle

R. W.

Transient elastohydrodynamicpoint contact analysis using a new coupled differential deflection method. Part 2: Results

Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2003, 217 (J5), 305–321.

19.

Evans

H. P.

Snidle

R. W.

A model for elastohydrodynamic film failure in contacts between surfaces having transverse finish

Trans. ASME, J. Tribology, 1996, 118, 847–857.