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IssuesArchive of Issues2006-2pp.123-133

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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
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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.
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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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