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The design of hydrodynamically lubricated journal bearings against yield

The design of hydrodynamically lubricated journal bearings against yield
The design of hydrodynamically lubricated journal bearings against yield
The stress field induced by the half-Sommerfeld pressure distribution in an infinitely elongated bearing is studied in detail. A complex potential formulation for the stress field is employed to solve the elasticity problem, with the intention to compute the required strength according to the classical von Mises criterion. Example contour plots of the yield parameter (radicJ2)/pm are given and the position and magnitude of the maximum normalized von Mises parameter are determined for a range of working conditions, analytically when they are on the surface, i.e. for eccentricity ratios epsiv < 0.6, and semi-analytically for the cases where they are located subsurface, i.e. epsiv > 0.6. Surprisingly simple results are obtained for eccentricity ratios lower than about 0.7, namely a maximum of the von Mises parameter proportional to the mean pressure, permitting a simple rule to be developed for the design of bearings against yielding: if the bearing works with eccentricity ratios smaller than 0.7, and the average pressure is smaller than 1.22k, where k is the yield stress of the material in pure shear, then yielding is avoided. When bearings are used in the range of very high eccentricity ratios, a more refined calculation is needed, taking into account the actual value of the maximum von Mises parameter and the paper provides design charts for this purpose
design, hydrodynamic, lubrication, journal, bearings, yield
0309-3247
165-173
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Decuzzi, P.
70ed8d0a-f0f2-4510-a749-4c60dcc0eee8
Demelio, G.
cb38aabe-9837-4ab2-aa87-60028fd7b82c
Monno, G.
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Hills, D.A.
d7ac6eb1-a16e-4a2c-b3ff-86e82cfbf3d6
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Decuzzi, P.
70ed8d0a-f0f2-4510-a749-4c60dcc0eee8
Demelio, G.
cb38aabe-9837-4ab2-aa87-60028fd7b82c
Monno, G.
2ed35922-2947-46b7-9633-9cfd1c9fbe07
Hills, D.A.
d7ac6eb1-a16e-4a2c-b3ff-86e82cfbf3d6

Ciavarella, M., Decuzzi, P., Demelio, G., Monno, G. and Hills, D.A. (1999) The design of hydrodynamically lubricated journal bearings against yield. The Journal of Strain Analysis for Engineering Design, 34 (3), 165-173.

Record type: Article

Abstract

The stress field induced by the half-Sommerfeld pressure distribution in an infinitely elongated bearing is studied in detail. A complex potential formulation for the stress field is employed to solve the elasticity problem, with the intention to compute the required strength according to the classical von Mises criterion. Example contour plots of the yield parameter (radicJ2)/pm are given and the position and magnitude of the maximum normalized von Mises parameter are determined for a range of working conditions, analytically when they are on the surface, i.e. for eccentricity ratios epsiv < 0.6, and semi-analytically for the cases where they are located subsurface, i.e. epsiv > 0.6. Surprisingly simple results are obtained for eccentricity ratios lower than about 0.7, namely a maximum of the von Mises parameter proportional to the mean pressure, permitting a simple rule to be developed for the design of bearings against yielding: if the bearing works with eccentricity ratios smaller than 0.7, and the average pressure is smaller than 1.22k, where k is the yield stress of the material in pure shear, then yielding is avoided. When bearings are used in the range of very high eccentricity ratios, a more refined calculation is needed, taking into account the actual value of the maximum von Mises parameter and the paper provides design charts for this purpose

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Published date: 1999
Keywords: design, hydrodynamic, lubrication, journal, bearings, yield

Identifiers

Local EPrints ID: 23258
URI: http://eprints.soton.ac.uk/id/eprint/23258
ISSN: 0309-3247
PURE UUID: 64f11fa7-1301-44f9-89ee-e92f479488b8

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Date deposited: 01 Feb 2007
Last modified: 18 Nov 2019 19:21

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Contributors

Author: M. Ciavarella
Author: P. Decuzzi
Author: G. Demelio
Author: G. Monno
Author: D.A. Hills

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