Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-25T02:11:40.317Z Has data issue: false hasContentIssue false

The pressure field in the gas-lubricated step slider bearing

Published online by Cambridge University Press:  17 February 2009

I. Penesis
Affiliation:
Faculty of Maritime Transport and Engineering, Australian Maritime College, Launceston, Australia; e-mail: i.penesis@mte.amc.edu.au.
J. J. Shepherd
Affiliation:
Department of Mathematics, RMIT University, Melbourne, Australia; e-mail: jshep@rmit.edu.au.
H. J. Connell
Affiliation:
Department of Mathematics, RMIT University, Melbourne, Australia; e-mail: jshep@rmit.edu.au.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Singular perturbation methods are applied to an analysis of the operation of an isothermal gas step slider bearing of narrow geometry and operating at moderate bearing numbers. Approximate expressions are obtained for the pressure field in the lubricating gap, as well as the load-carrying capacity of the bearing; and the influence of the nature of the bearing step on those quantities is investigated. Comparisons are made with results obtained using a standard numerical package.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Boyce, W. and DiPrima, R. C., Elementary differential equations and boundary value problems, 5th ed. (Wiley, New York, 1992).Google Scholar
[2]DiPrima, R. C., “Asymptotic methods for an infinitely long step slider squeeze bearing”, J. Lub. Tech., Trans. ASME 95 (1973) 208215.CrossRefGoogle Scholar
[3]Macsyma, Inc., PDEase 2, Finite element analysis for partial differential equations, (Macsyma, Inc., Arlington, 19931996).Google Scholar
[4]Penesis, I., Shepherd, J. J. and Connell, H. J., “Asymptotic analysis of narrow gas-lubricated slider bearings with non-smooth profiles”, in Proceedings of EMAC98, 3rd Biennial Engineering Mathematics and Applications Conference, (The Institution of Engineers, Adelaide, Australia, 1998) 163166.Google Scholar
[5]Penesis, J., Shepherd, J. J. and Connell, H. J., “The pressure field in a two-dimensional taper-taper gas-lubricated bearing of narrow geometry”, in EMAC 2000 Proceedings, 4rd Biennial Engineering Mathematics and Applications Conference, (The Institution of Engineers, Melbourne, Australia, 2000) 239242.Google Scholar
[6]Schmitt, J. A. and DiPrima, R. C., “Asymptotic methods for an infinite slider bearing with a discontinuity in film slope”, J. Lub. Tech., Trans. ASME 98 (1976) 446452.CrossRefGoogle Scholar
[7]Shepherd, J. J. and DiPrima, R. C., “Asymptotic analysis of a finite gas slider bearing of narrow geometry”, J. Lub. Tech., Trans. ASME 105 (1983) 491495.CrossRefGoogle Scholar
[8]Wolfram, S., Mathematica: a system for doing mathematics by computer, 2nd ed. (Addison-Wesley, Redwood City, CA, 1991).Google Scholar