摘要
The contact characteristics of rigid cylinders lubricated by Newtonian liquids are inves-tigated in this paper using hard elastohydrodynamic lubrication (EHL) theory. Numerical modelingis formulated for the coupled set of generalized pressure and plane strain elasticity equations for afinite plane model and a circular representation of the junction under a pure hard rolling line con-tact using boundary element method (BEM). Also a numerical routine is developed to compute filmthickness and pressure profiles and the results are evaluated for a range of possible dimen-sionless parameters such as speed and load. The hydrodynamic equation is also transformed intoa form of boundary integral equation, which is solved by Simpson’s rule. The elasticity equationwith boundary conditions was solved by constant and quadratic elements based on an iterativeprocedure by assuming an initial film thickness. From the comparative study between the presentNewtonian model and the previously published results proved to be very effective and efficient andhigh precision is easily achieved for such rolling elements as well. The computed results areshown to be amenable to standard boundary element formulation of EHL problem in the contactregion and show that speed and load have influential effects on the lubricating film shape.
The contact characteristics of rigid cylinders lubricated by Newtonian liquids are inves- tigated in this paper using hard elastohydrodynamic lubrication (EHL) theory. Numerical modeling is formulated for the coupled set of generalized pressure and plane strain elasticity equations for a finite plane model and a circular representation of the junction under a pure hard rolling line con- tact using boundary element method (BEM). Also a numerical routine is developed to compute film thickness and pressure profiles and the results are evaluated for a range of possible dimen- sionless parameters such as speed and load. The hydrodynamic equation is also transformed into a form of boundary integral equation, which is solved by Simpson's rule. The elasticity equation with boundary conditions was solved by constant and quadratic elements based on an iterative procedure by assuming an initial film thickness. From the comparative study between the present Newtonian model and the previously published results proved to be very effective and efficient and high precision is easily achieved for such rolling elements as well. The computed results are shown to be amenable to standard boundary element formulation of EHL problem in the contact region and show that speed and load have influential effects on the lubricating film shape.
