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A novel method for integrating first- and second-order differential equations in elastohydrodynamic lubrication for the solution of smooth isothermal, line contact problems

✍ Scribed by T. G. Hughes; C. D. Elcoate; H. P. Evans


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
143 KB
Volume
44
Category
Article
ISSN
0029-5981

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✦ Synopsis


This paper contains details of recent developments in the analysis of elastohydrodynamic lubrication problems using the finite element method. A steady state isothermal finite element formulation of the smooth line contact problem with Newtonian lubricant behaviour is presented containing both first-and second-order formulations of the hydrodynamic equation. Previous problems with the limited range of applicability of both first-and second-order finite difference solutions have been overcome by summing both the first-and second-order equations' weighted contributions. Application of the method to a range of problems unattainable by either single first-or second-order formulations is presented.