 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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| M. Ya. Panovko, "Elastohydrodynamic lubrication of a point contact subject to dynamic loading," Mech. Solids. 41 (2), 123-133 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
2 |
Pages |
123-133 |
| Title |
Elastohydrodynamic lubrication of a point contact subject to dynamic loading |
| Author(s) |
M. Ya. Panovko (Moscow) |
| Abstract |
The problem of isothermal elastohydrodynamic lubrication (EHL)of
a point contact with the external load changing sinusoidally is
stated and solved numerically. Such contacts are typical of rolling
bearings and gear trains in which the contacting bodies are
separated by a thin lubricant layer and are subject to deformation
in the contact region under the action of an external load.
The mathematical model of the point EHL contact is governed by a
nonlinear integrodifferential system of equations that involves the
Reynolds equation for the pressure in the lubricating film, the
equation for the thickness of the lubricating film between the
elastic bodies, the condition of equality of the internal load to
the integral of the pressure over the contact region, as well as the
initial and boundary conditions. The location of the inlet portion
of the boundary of the lubricated contact region is assumed to be
prescribed. To determine the location of the outlet (free) portion
of the boundary that separates the lubricated contact region from
the cavitation region, the problem is stated as a complementarity
problem. The computational algorithm for solving the system of
governing equations and inequalities for the EHL contact is based on
Newton's method and an implicit scheme for the approximation of
non-stationary equations.
Numerical solutions are obtained for a heavily loaded EHL contact
for various values of the frequency and amplitude of the harmonic
component of the external load. Specific features characterizing the
influence on the dynamic loading on the distribution of the pressure
and thickness of the lubricating film in the contact region are
shown. |
| References |
| 1. | D. Dowson and P. Ehret, "Past, present, and future studies
in elastohydrodynamics," Proc. Instn. Mech. Engrs. Pt. J. J. Engng
Tribol., Vol. 213, No. 5, pp. 317-333, 1999. |
| 2. | P. Yang and S. Wen, "The behavior of non-newtonian thermal
EHL film in line contacts at dynamic loads," Trans. ASME. J.
Tribol., Vol. 114, No. 1, pp. 81-85, 1992. |
| 3. | K. P. Oh, "The numerical solution of dynamically loaded
elastohydrodynamic contact as a nonlinear complementarity problem,"
Trans. ASME. J. Tribol., Vol. 106, No. 1, pp. 88-95, 1984. |
| 4. | M. A. Galakhov, P. V. Gusyatnikov, and A. P. Novikov,
Mathematical Models of Contact Hydrodynamics [in Russian], Nauka,
Moscow, 1985. |
| 5. | D. S. Kondir, Contact Hydrodynamics of Lubrication of
Machine Components [in Russian], Mashinostroenie, Moscow, 1976. |
| 6. | D. Dowson and G. R. Higginson, Elasto-Hydrodynamic
Lubrication, Pergamon Press, Oxford, 1996. |
| 7. | M. M. Kostera, "Elasto-hydrodynamic lubrication: a
nonlinear complementarity problem," Intern. J. Numer. Mathods in
Fluids, Vol. 4, No. 4, pp. 377-397, 1984. |
| 8. | K. P. Oh, C. H. Li, and P. K. Goenka, "Elastohydrodynamic
lubrication of piston skirts," Trans. ASME. J. Tribol., Vol. 109,
No. 2, pp. 356-365, 1987. |
| 9. | S. M. Belotserkovskii and I. K. Lifanov, Numerical Methods
in Singular Integral Equations and their Applications in
Aerodynamics, Elasticity, and Electrodynamics [in Russian], Nauka,
Moscow, 1985. |
| 10. | M. Kaneta, "Effects of surface roughness in
elastohydrodynamic lubrication," JSME Intern. Journal, Ser. 3,
Vol. 4, No. 4, pp. 535-546, 1992. |
| 11. | M. Kaneta and H. Nishikawa, "Experimental study on
microelastohydrodynamic lubrication," Proc. Instn. Mech. Engrs. Pt.
J. J. Engng Tribol., Vol. 213, No. 5, pp. 371-381, 1999. |
| 12. | J. A. Greenwood and G. E. Morales-Espejel, "The behaviour
of transverse roughness in EHL contacts," Proc. Instn. Mech. Engrs.
Pt. J. J. Engng Tribol., Vol. 208, No. 2, pp. 121-132, 1994. |
| 13. | G. E. Morales-Espejel, C. H. Venner, and J. A. Greenwood,
"Kinematics of transverse real roughness in elastohydrodynamically
lubricated line contacts using Fourier analysis," Proc. Instn. Mech.
Engrs. Pt. J. J. Engng Tribol., Vol. 214, No. 6, pp. 523-534, 2000. |
| 14. | Y. H. Wijnant and C. H. Venner, "Analysis of an EHL
circular contact incorporating rolling element vibration," in
Elastohydrodynamics'96: Fundamentals and Application in Lubrication
and Traction, pp. 445-456, Elsevier, Amsterdam, 1997. |
|
| Received |
07 September 2004 |
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