Surface roughness effects on squeeze film poroelastic bearings

The combined study of effects of surface roughness and poroelasticity on the squeeze film behaviour of poroelastic bearings in general and that of synovial joints in particular is presented. The modified form of Reynolds equation which incorporates the randomized roughness structure as well as elast...

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Bibliographic Details
Published in:Applied mathematics and computation 2006-03, Vol.174 (2), p.1181-1195
Main Authors: Bujurke, N.M., Kudenatti, R.B.
Format: Article
Language:English
Subjects:
Articular cartilage
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Elasticity, plasticity: general mathematical aspects
Exact sciences and technology
Mathematics
Multigrid method
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Physics
Poroelastic bearing
Rough surface
Sciences and techniques of general use
Synovial joints
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Summary:The combined study of effects of surface roughness and poroelasticity on the squeeze film behaviour of poroelastic bearings in general and that of synovial joints in particular is presented. The modified form of Reynolds equation which incorporates the randomized roughness structure as well as elastic nature of articular cartilage is derived. Christensen stochastic theory describing roughness structure of cartilage surfaces is used by assuming the roughness asperity heights to be small compared to the film thickness. Finite-difference-based multigrid method is used for the solution of Reynolds equation. The method has greatest advantage of minimizing the errors using correction schemes in obtaining accurate solution as grid size tends to zero. The influence of roughness and elasticity on bearing characteristics are discussed in some detail.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.06.007