A Numerical Solution to the Elasto-Hydrodynamic Problem

Abstract

This paper presents a solution to the problem of hydrodynamic lubrication of highly loaded clastic cylinders under isothermal conditions. A numerical method is developed which enables a pressure curve to be found which satisfies the elastic and hydrodynamic requirements of the system. Results are presented which take account of elastic distortion and the dependence of viscosity upon pressure for centre-line pressures of 5, 10, 20, and 30 ton/in². In addition solutions are given for both rigid and elastic solids when the centre-line film thickness is the same in each case.