Research Papers: Hydrodynamic Lubrication

Reliability of a Hydrostatic Bearing

[+] Author and Article Information
A. Charki

e-mail: Abderafi.charki@istia.univ-angers.fr

K. Diop

Institut des Sciences et Techniques de
L'ingénieur d'Angers,
62 Avenue Notre Dame du Lac,
Angers 49000, France

A. Ambari

Centre Arts et Métiers Paris Tech d'Angers,
2 Boulevard du Ronceray,
Angers Cedex 49035, France

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 31, 2013; final manuscript received July 28, 2013; published online October 3, 2013. Assoc. Editor: George K. Nikas.

J. Tribol 136(1), 011703 (Oct 03, 2013) (6 pages) Paper No: TRIB-13-1072; doi: 10.1115/1.4025252 History: Received March 31, 2013; Revised July 28, 2013

This paper presents a methodology for evaluating the failure probability of fluid bearings, which are sensitive components for the design of machine rotors, mechatronic systems, and high precision metrology. The static and dynamic behavior of a fluid bearing depends on several parameters, such as external load, bearing dimensions, supply pressure, quality of the machined surfaces, fluid properties, etc. In this paper, the characteristics of a simple geometry hydrostatic bearing are calculated analytically in order to demonstrate the usefulness of the methodology and its pertinence to bearing design. Monte Carlo simulation and first order reliability method (FORM) are used to evaluate the probability of failure.

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Fig. 1

Transformation of physical space into normalized space

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Fig. 3

Configuration of the bearing studied

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Fig. 4

Load carrying capacity versus film thickness

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Fig. 5

Failure probability obtained by Monte Carlo for he1 = 40 μm

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Fig. 6

Failure probability obtained by Monte Carlo for he2 = 80 μm

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Fig. 7

Failure probability obtained by Monte Carlo for he3 = 180 μm

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Fig. 8

Index reliability obtained by FORM for he1 = 40 μm

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Fig. 9

Failure probability obtained by FORM for he1 = 40 μm




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