FUNDAMENTALS OF THE STOCHASTIC DESCRIPTION OF THE HYDRODYNAMIC THEORY OF LUBRICATION
Journal Title: Tribologia - Year 2012, Vol 245, Issue 5
Abstract
The aim of this paper is the presentation of basic principles referring to the application of stochastic methods during the solution of hydrodynamic lubrication problems for slide journal bearings, taking into account the standard deviation and expectancy values of gap height between two cooperating surfaces. A description of real gap height changes in microand bio-bearings depend on the variations of cooperating surfaces. Random changes of the surface are described by the probability density functions based on a comparison between results of the J. Cwanek and K. Wierzcholski’s experiments and the investigations of D. Dowson and Mow. Such experiments are performed for micro-bearing surface samples as well cartilage surface samples obtained from human bio-joints. The random influence of the surface roughness on the change of the flow and operational parameters is indicated by many experiments. The presented methods based on values of probability density function obtained in experimental way enable one to formulate basic hydrodynamic dependencies for lubrication theory in random description.
Authors and Affiliations
Krzysztof Wierzcholski, Andrzej Miszczak
Keywords
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