Research Papers: Hydrodynamic Lubrication

Application of the Amplitude Reduction Technique Within Probabilistic Rough EHL Models

[+] Author and Article Information
Laurentiu Moraru1

Mechanical Engineering Department,  The University of Toledo, Toledo, OH 43606laurentiu.moraru@gmail.com

Theo. G Keith

 NASA Glenn Research Center, MS3-5, Cleveland, OH 44135

The differences between various expressions of nabla are minor. Actually, there is a single nabla parameter; however, we preferred to preserve the original notations used in the reference papers


Currently at the “Politehnica” University of Bucharest, The “Elie Carafoli” Aerospace Sciences Department, Spl. Independentei 313, Bucharest 060042, Romania.

J. Tribol 131(2), 021703 (Mar 09, 2009) (8 pages) doi:10.1115/1.2961919 History: Received May 03, 2006; Revised April 11, 2008; Published March 09, 2009

Over the years, the deterministic elastohydrodynamic lubrication (EHL) approach has been widely used. This technique is very powerful in capturing details of asperity deformation and interaction. The probabilistic EHL methodology is still used when the main interest of the engineer is directed toward computations of bulk properties. During recent years, the results of many deterministic analyses have been published. The reduction of the waviness amplitude in EHL contacts under rolling-sliding was systematically studied and it was shown that the amplitude reduction is completely described by a single parameter that includes relative wavelength and the operating conditions. This approach, usually referred to as the amplitude reduction technique, has opened the way for developing improved probabilistic EHL models by incorporating the effects of fluid-induced roughness deformation, which is calculated using the fast fourier transform. In this paper we provide a review of the latest developments in the amplitude reduction technique and we present a probabilistic EHL algorithm for the computation of the load supported by the fluid, the elastically deformed asperities and the plastically deformed asperities, in a mixed EHL contact with either isotropic on nonisotropic roughness. The fluid-induced roughness deformation is incorporated into the probabilistic model via the use of the amplitude reduction technique.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Comparison between the results of Houpert (line a), Hamrock (line b) (dashed lines), Lubrecht (solid line) and the present authors (large dots); W=2.0452×10−5, U=1×10−11, and G=5007. See Ref. 26.

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Figure 2

Details on the fluid-deformed roughness profile. Pure rolling, PH=2GPa, u1=u2=5m∕s.

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Figure 3

The asperity supported load for the original roughness and for the fluid-deformed roughness

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Figure 4

Original transverse roughness and fluid-deformed roughness ∑=1.75

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Figure 5

Total pressure and asperity supported pressure, γ=1∕9, original roughness profile

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Figure 6

Total pressure and asperity supported pressure, γ=1∕9, roughness profile corrected for ∑=1

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Figure 7

Total asperity supported pressure for the original roughness and for the deformed roughness, slide-to-roll ratio ∑=1.75

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Figure 8

The elastic and the plastic components of the asperity supported pressure for the deformed roughness, slide-to-roll ratio ∑=1.75



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