This paper presents numerical solution of isothermal elastohydrodynamic conjunction for concentrated contact of elastic bodies under the elliptical point contact condition. The solution includes the effect of squeeze-film motion that occurs under transient conditions due to the application of cyclic loads and/or oscillating motions in machine elements. It is shown that this time-dependent behaviour increases the load-carrying capacity of the contact which is largely responsible as a mechanism of lubricant film formation when the low speeds of entraining motion yield a low film thickness. An extrapolated oil-film thickness formula is also presented that can be employed under dynamic conditions.
GrubinA. N.Investigation of Scientific and Industrial Research, Book 30, 1949 (Central Scientific Research Institute for Technology and Mechanical Engineering, Moscow).
2.
CameronA.GoharR.Theoretical and experimental studies of the oil film in lubricated point contactsProc. R. Soc. A, 1966, 291, 520–536.
3.
BahadoranH.GoharR.End closure in EHL line contactJ. Mech. Engng Sci., 1974, 16, 264–270.
4.
SafaM. M.AndersonJ. C.LeatherJ. A.Transducers for pressure, temperature and oil film thickness measurement in bearingsSensors Actuators, 1982-3, 3, 119–128.
5.
DowsonD.HigginsonG. R.A numerical solution to the elastohydrodynamic problemJ. Mech. Engng Sci., 1959, 1, 6–15.
6.
RangerA. P.EttlesC. M.M.CameronA.The solution of point contact EHL problemProc. R. Soc. Lond. A, 1975, 346, 227–244.
7.
EvansH. P.SnidleR. W.The elastohydrodynamic lubrication of point contacts at heavy loadsProc. R. Soc. Lond. A, 1982, 382, 183–199.
ArchardJ. F.KirkM. T.Lubrication at point contactsProc. R. Soc. A, 1961, 261, 532–550.
10.
HamiltonG. M.MooreS. L.Deformation and pressure in an elastohydrodynamic contactProc. R. Soc. Lond. A.1971, 322, 313–330.
11.
HoupertL.IoannidesE.KuypersJ. C.TrippJ.The effect of the EHD pressure spike on rolling bearing fatigueTrans. ASME, J. Tribology, 1987, 109, 444–451.
12.
CzyzewskiT.Changes in the stress field in the elastohydro-dynamic contact zone due to some operating factors and their role in the rolling contact fatigue of cylindrical surfacesWear, 1975, 31, 119–140.
13.
ChristensenH.The oil film in a closing gapProc. R. Soc. Lond. A, March 1962, 266 (1326), 312–328.
14.
ChristensenH.Elastohydrodynamic theory of spherical bodies in normal approachTrans. ASME, J. Lubric. Techol., January 1970, 92 (1), 145–154.
15.
HerrebrughK.Elastohydrodynamic squeeze between two cylinders in normal approachTrans. ASME, J. Lubric. Technol., April 1970, 92 (2), 292–302.
16.
DowsonD.JonesD.An optical-interference method of measurement of time-dependent elastohydrodynamic film profiles. Report 3, Symposium onExperimental Methods in Tribology, Proc. Instn Mech. Engrs, 1967-8, 182 (3G), 49–52.
17.
PaulG. R.CameronA.Absolute optical measurement of the oil entrapment in a dropping ballProc. Instn Mech. Engrs, 1972, 95, 69–74.
18.
SafaM.GoharR.Pressure distribution under a ball impacting a thin lubricant layerTrans. ASME, J. Lubric. Technol., 1986, 108(3), 372–376.
19.
BedewiM. A. A.DowsonD.TaylorC. M.The squeeze-film lubrication of ellipsoidsJ. Phys. D: Appl. Phys., 1992, 25, A133–A140.
20.
LeeR.HamrockB. J.Squeeze and entraining motion in nonconformal line contacts. Part II: Hydrodynamic lubricationTrans. ASME, J. Lubric. Technol., January 1989, 111, 8–16.
21.
MostofiA.GoharR.Oil film thickness and pressure distribution in elastohydrodynamic point contactsTrans. ASME, J. Lubric. Technol., April 1982, 24 (4), 173–182.
22.
RahnejatH.Influence of vibration on the oil film in concentrated contacts. PhD thesis, Imperial College of Science and Technology, 1984.
23.
DowsonD.WangD.An analysis of the normal bouncing of a solid elastic ball on a oily plateWear, 1994, 179 (1-2), 29–37.
24.
WijnantY. H.VennerC. H.Analysis of an EHL circular contact incorporating rolling element vibration.In Proceedings of the 23rd Leeds—Lyon Symposium on Tribology, September 1996, pp. 445–456 (Elsevier, Amsterdam).
25.
DowsonD.RuddyB.EconomouP.The elastohydrodynamic lubrication of piston ringsProc. R. Soc. Lond. A, 1983, 386, 409–430.
26.
MatthewsJ.SadeghiF.Kinematics and lubrication of camshaft roller follower mechanismsJ. Tribology Trans., 1996, 39 (2), 425–433.
27.
DowsonD.TaylorC.ZhuG.A transient elastohydrodynamic lubrication analysis of a cam and followerJ. Phys. D: Appl. Phys., 1992, 125 (1A), A313–A320.
28.
MeiX.XieY.A numerical-analysis of the nonsteady EHL process in high-speed rotating engine cam/tappet pairsTrans. ASME, J. Tribology, 1996, 118 (3), 637–643.
29.
MehdigholiH.RahnejatH.GoharR.Vibration response of wavy surfaced disc in elastohydrodynamic rolling contactWear, 1990, 139, 1–15.
30.
DareingD. W.JohnsonK. L.Fluid film damping of rolling contact vibrationsJ. Mech. Engng Sci., 1975.
31.
RoelandsC. J. A.Correlation aspects of viscosity-temperature-pressure relationship of lubricating oils. PhD thesis, Delft University of Technology, The Netherlands, 1966.
32.
HamrockB. J.DowsonD.Isothermal elastohydrodynamic lubrication of point contacts. Part I: Theoretical formulationTrans. ASME, J. Lubric. Technol., April 1976, 98, 223–229.
33.
HamrockB. J.DowsonD.Isothermal elastohydrodynamic lubrication of point contacts. Part II: Ellipticity parameter resultsTrans. ASME, J. Lubric. Technol., July 1976, 98, 375–383.
34.
HamrockB. J.DowsonD.Isothermal elastohydrodynamic lubrication of point contacts. Part III: Fully flooded resultsTrans. ASME, J. Lubric. Technol., April 1977, 99, 264–276.
35.
HamrockB. J.DowsonD.Isothermal elastohydrodynamic lubrication of point contacts. Part IV: Starvation resultsTrans. ASME, J. Lubric. Technol., January 1977, 99, 15–23.
36.
JohnsonK. L.Contact Mechanics, 1987 (Cambridge University Press, Cambridge).
37.
Johns-RahnejatP. M.GoharR.Point contact elastohydrodynamic pressure distribution and sub-surface stress field. In Proceedings of the First International Symposium onMulti-Body Dynamics, March 1997, pp. 161–177 (Mechanical Engineering Publications, London).
38.
ChittendenR. J.DowsonD.DunnJ. F.TaylorC. M.A theoretical analysis of the isothermal elastohydrodynamic lubrication of concentrated contactsProc. R. Soc. Lond. A, 1985, 397, 271–294.
39.
GreenwoodJ. A.Film thickness in circular elastohydrodynamic contactsProc. Instn Mech. Engrs, Part C, Journal of Mechanical Engineering Science, 1988, 202 (C1), 11–17.
40.
HamiltonG. M.The hydrodynamic of cam followerTribology Int., June 1980, 113–119.
