Estimation of Minimum Thickness for Line Contacts in the Transition Region between the Isoviscous—Elastic and the Piezoviscous-Elastic Lubrication Regimes
Restricted accessReview articleFirst published online November, 1989
Estimation of Minimum Thickness for Line Contacts in the Transition Region between the Isoviscous—Elastic and the Piezoviscous-Elastic Lubrication Regimes
This paper represents a solution for lubricated cylinders in line contact operating in the transition region between isoviscous-elastic and piezoviscous-elastic conditions. The computer solutions are used to generate a formula for the minimum film thickness. The approximate formula is compared with the existing formulae at the boundaries of the lubrication regimes where good agreement is obtained. Also, the influence of the starvation on pressure and film thickness is investigated.
Get full access to this article
View all access options for this article.
References
1.
JohnsonK. L.Regimes of elastohydrodynamic lubrication. J. Mech. Engng Sci., 1970, 12(1), 9–16.
2.
MartinH. M.Lubrication of gear teeth. Engineering, 1916, 102, 119–121.
3.
BlokH.Discussion of a paper by E. McEwen. J. Inst. Petrol., 1952, 38, 673.
4.
HerrebrughK.Solving the incompressible and isothermal problem in elastohydrodynamic lubrication through an integral equation. Trans. ASME, J. Lubric. Technol., 1968, Ser. F, 90, 262–270.
5.
HookeC. J.The elastohydrodynamic lubrication of a heavily loaded contact. J. Mech. Engng Sci., 1977, 4, 149–156.
6.
DowsonD.Elastohydrodynamics. Proc. Instn Mech. Engrs, 1967, 182(3A), 151–167.
7.
MoesH.Communication to elastohydrodynamic lubrication. Proc. Instn Mech. Engrs, 1965–6, 180, (3B), 244–245.
8.
HigginsonG. R.Progress in elastohydrodynamics. Proceedings of Fifth Leeds-Lyon Symposium on Tribology, Leeds, 1979, pp. 3–11 (Mechanical Engineering Publications, London).
9.
HamrockB. J.JacobsonB. O.Elastohydrodynamic lubrication of line contacts: ASLE Trans., 1984, 27, 275–287.
10.
ESDU.Film thicknesses in lubricated Hertzian contacts (EHL), Part 1: Two-dimensional contacts (line contacts), Item 85027, Engineering Sciences Data Unit, London, 1985.
11.
GladwellG. M. L.Contact problems in the classical theory of elasticity, 1st edition, 1980 (Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands).
12.
SpenceD. A.SharpP.Self-similar solutions for elastohydrodynamic cavity flow. Proc. R. Soc. Lond., 1985, A400, 289–313.
13.
HallR.SavageM. D.Solutions for isoviscous line contacts using a closed form analytic solution. Proceedings of Thirteenth Leeds-Lyon Symposium on Tribology, Leeds, 1986–7, pp. 191–195. (Elsevier Science Publishers BV, Amsterdam).
14.
TimoshenkoS.GoodierJ. N.Theory of elasticity, 2nd edition, 1951 (McGraw-Hill).
15.
GladwellG. M. L.EnglandA. H.Orthogonal polynomial solutions to some mixed bounary-value problems in elasticity theory. Q. J. Mech. Appl. Math., 1977, 30(2), 175–185.
16.
BarusC.Isotherms, isopiestics, and isometrics relative to viscosity. Am. J. Sci., 1893, 45, 87–96.
