Influence of an Inlet Oil Meniscus Geometry on Parameters of a Point Elastohydrodynamic Contact

[+] Author and Article Information
I. I. Kudish

GMI Engineering & Management Institute, 1700 West Third Avenue, Flint, MI 48504-4898

M. Ya. Panovko

Institute of Mechanical Engineering, Russian Academy of Sciences, 25 Vavilov Street, Moscow 117967, Russia

J. Tribol 119(1), 112-125 (Jan 01, 1997) (14 pages) doi:10.1115/1.2832444 History: Received January 26, 1995; Revised February 14, 1996; Online January 24, 2008


In the present paper an isothermal elastohydrodynamic problem for a lightly loaded lubricated point contact of elastic bodies is formulated and studied numerically. Mathematical formulation of the problem is based on a steady nonlinear system of integrodifferential equations: Reynolds’ equation, equations of elasticity, boundary conditions for pressure, and the equilibrium condition. Nonlinearity of the problem is caused by nonlinearity of the Reynolds equation and the boundary conditions for pressure describing a free boundary. The inlet contact boundary is considered to be known and located close to the center of the contact. In order to determine the location of the free boundary (exit boundary of the contact region) the problem is formulated as a problem of complementarity by Kostreva (1984a) and Oh (1984). The dimensionless system of equations and inequalities for the elastohydrodynamic lubrication (EHL) problem is solved using the Newton-Raphson method. The inlet boundary of a contact region is considered to have a complex irregular shape (the inlet oil meniscus has some deep notches) which is taken into account while deriving the finite-difference equations. The effect of the shape and location of the inlet oil meniscus on the lubrication film thickness, pressure, gap, sliding and rolling frictional and subsurface stress distributions are considered. Some numerical results are presented for pressure, gap, frictional and subsurface stress distributions in EHL contact. These numerical results show that variations in the inlet meniscus shape and location may cause significant qualitative and quantitative changes in distributions of parameters of a lubricated contact. For instance, the maximum values of pressure may change by 20 percent, and for rolling frictional stress by 100 percent and even more.

Copyright © 1997 by The American Society of Mechanical Engineers
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