Modelling of elasto-hydrodymic lubrication problems in gears

For highly loaded contacts, lubricant pressure can cause elastic deformation of the surface that is in the same order as the film thickness of lubricant. When this occurs, the influence of deformation on lubrication performance becomes an important parameter. Contacts operating under this condition are in the regime of elasto-hydrodynamic lubrication (EHL).In addition, numerical calculations of EHL problems are high-priced belonging to the large quantity of numerical computations needed as a result of their contact domains being much bigger than those of involute gears and bearings [1,2]. To amplify the effortlessness of simulations, Homotopy Perturbation Method (HPM)[3-6,13-17] is used. HPM is an effective and relatively uncomplicated methodology for solving nonlinear thermal problem for lubrication of gears. In this paper, we contrast HPM in related to higher-order approximate solutions for the EHL. It is concluded that the results of HPM provide accurate solution, as an easy methodology for computing the nonlinear differential equations for EHL