A unified treatment of thick and thin film elastohydrodynamic problems by using higher order element methods
- 13 May 1975
- journal article
- research article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 343 (1634) , 315-331
- https://doi.org/10.1098/rspa.1975.0068
Abstract
A unified mathematical treatment of thick and thin film elastohydrodynamic lubrication problems is presented. The construction of approximate solutions is discussed by using Ritz-Galerkin methods with piecewise polynomial basis functions. In particular for the line contact problem, smooth Hermite and cubic spline spaces are used to obtain solutions over a wide load-speed range. Pressure ‘spikes’ are obtained.This publication has 6 references indexed in Scilit:
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- Finite-Element Solution of the Incompressible Lubrication ProblemJournal of Lubrication Technology, 1969
- Numerical methods of high-order accuracy for nonlinear boundary value ProblemsNumerische Mathematik, 1967
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- The elasto-hydrodynamic lubrication of rollersProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961
- A Numerical Solution to the Elasto-Hydrodynamic ProblemJournal of Mechanical Engineering Science, 1959