Amplitude Reduction of Waviness in Transient EHL Line Contacts

C.H. Venner, F. Couhier, A.A. Lubrecht, J.A. Greenwood

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

61 Citations (Scopus)

Abstract

The problem of surface waviness in ElastoHydrodynamic Lubrication is commonly considered as a first step towards understanding the lubrication of rough surfaces. Both problems are generally transient. The current paper investigates the deformation of sinusoidal waviness in the contact, more precisely it studies the amplitude reduction of one-sided waviness in a transient EHL line contact. The film thickness amplitude at X = 0 is called Ad (deformed amplitude). It is shown that for waviness amplitudes smaller than the film thickness Ai <Hc, the ratio Ad/Ai is independent of the undeformed amplitude Ai. In other words: for small amplitudes the deformed amplitude depends linearly on the initial amplitude Ai. Rather surprisingly, the same behaviour is found for Ai >Hc. The results show that qualitatively waviness with short wavelengths λ/b < 1 is hardly deformed, thus Ad ≃Ai. Long wavelengths on the contrary, disappear nearly completely: Ad ≪Ai thus Ad/Ai ≃ 0. However, quantitatively the amplitude reduction was found to depend also on the contact operating conditions. With a generalized coordinate ∇, instead of λ/b, the relative amplitude Ad/Ai can be described by a single function of ∇ for all operating conditions: Ad/Ai = F(∇),∀(M, L). A possible way of expressing ∇ is:∇ = λ/bM3/4/L1/2.
Original languageEnglish
Title of host publicationElastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction
Subtitle of host publicationProceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering
EditorsD. Dowson
PublisherElsevier
Pages103-112
ISBN (Print)0-444-82809-5
DOIs
Publication statusPublished - 23 Feb 1997
Event23rd Leeds-Lyon Symposium on Tribology 1996 - Leeds, United Kingdom
Duration: 10 Sep 199613 Sep 1996
Conference number: 23

Publication series

NameTribology Series
PublisherElsevier
Volume32

Conference

Conference23rd Leeds-Lyon Symposium on Tribology 1996
CountryUnited Kingdom
CityLeeds
Period10/09/9613/09/96

Fingerprint

lubrication
film thickness
elastohydrodynamics
wavelengths

Keywords

  • METIS-145688

Cite this

Venner, C. H., Couhier, F., Lubrecht, A. A., & Greenwood, J. A. (1997). Amplitude Reduction of Waviness in Transient EHL Line Contacts. In D. Dowson (Ed.), Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering (pp. 103-112). (Tribology Series; Vol. 32). Elsevier. https://doi.org/10.1016/S0167-8922(08)70440-1
Venner, C.H. ; Couhier, F. ; Lubrecht, A.A. ; Greenwood, J.A. / Amplitude Reduction of Waviness in Transient EHL Line Contacts. Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering. editor / D. Dowson. Elsevier, 1997. pp. 103-112 (Tribology Series).
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title = "Amplitude Reduction of Waviness in Transient EHL Line Contacts",
abstract = "The problem of surface waviness in ElastoHydrodynamic Lubrication is commonly considered as a first step towards understanding the lubrication of rough surfaces. Both problems are generally transient. The current paper investigates the deformation of sinusoidal waviness in the contact, more precisely it studies the amplitude reduction of one-sided waviness in a transient EHL line contact. The film thickness amplitude at X = 0 is called Ad (deformed amplitude). It is shown that for waviness amplitudes smaller than the film thickness Ai <Hc, the ratio Ad/Ai is independent of the undeformed amplitude Ai. In other words: for small amplitudes the deformed amplitude depends linearly on the initial amplitude Ai. Rather surprisingly, the same behaviour is found for Ai >Hc. The results show that qualitatively waviness with short wavelengths λ/b < 1 is hardly deformed, thus Ad ≃Ai. Long wavelengths on the contrary, disappear nearly completely: Ad ≪Ai thus Ad/Ai ≃ 0. However, quantitatively the amplitude reduction was found to depend also on the contact operating conditions. With a generalized coordinate ∇, instead of λ/b, the relative amplitude Ad/Ai can be described by a single function of ∇ for all operating conditions: Ad/Ai = F(∇),∀(M, L). A possible way of expressing ∇ is:∇ = λ/bM3/4/L1/2.",
keywords = "METIS-145688",
author = "C.H. Venner and F. Couhier and A.A. Lubrecht and J.A. Greenwood",
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Venner, CH, Couhier, F, Lubrecht, AA & Greenwood, JA 1997, Amplitude Reduction of Waviness in Transient EHL Line Contacts. in D Dowson (ed.), Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering. Tribology Series, vol. 32, Elsevier, pp. 103-112, 23rd Leeds-Lyon Symposium on Tribology 1996, Leeds, United Kingdom, 10/09/96. https://doi.org/10.1016/S0167-8922(08)70440-1

Amplitude Reduction of Waviness in Transient EHL Line Contacts. / Venner, C.H.; Couhier, F.; Lubrecht, A.A.; Greenwood, J.A.

Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering. ed. / D. Dowson. Elsevier, 1997. p. 103-112 (Tribology Series; Vol. 32).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Amplitude Reduction of Waviness in Transient EHL Line Contacts

AU - Venner, C.H.

AU - Couhier, F.

AU - Lubrecht, A.A.

AU - Greenwood, J.A.

PY - 1997/2/23

Y1 - 1997/2/23

N2 - The problem of surface waviness in ElastoHydrodynamic Lubrication is commonly considered as a first step towards understanding the lubrication of rough surfaces. Both problems are generally transient. The current paper investigates the deformation of sinusoidal waviness in the contact, more precisely it studies the amplitude reduction of one-sided waviness in a transient EHL line contact. The film thickness amplitude at X = 0 is called Ad (deformed amplitude). It is shown that for waviness amplitudes smaller than the film thickness Ai <Hc, the ratio Ad/Ai is independent of the undeformed amplitude Ai. In other words: for small amplitudes the deformed amplitude depends linearly on the initial amplitude Ai. Rather surprisingly, the same behaviour is found for Ai >Hc. The results show that qualitatively waviness with short wavelengths λ/b < 1 is hardly deformed, thus Ad ≃Ai. Long wavelengths on the contrary, disappear nearly completely: Ad ≪Ai thus Ad/Ai ≃ 0. However, quantitatively the amplitude reduction was found to depend also on the contact operating conditions. With a generalized coordinate ∇, instead of λ/b, the relative amplitude Ad/Ai can be described by a single function of ∇ for all operating conditions: Ad/Ai = F(∇),∀(M, L). A possible way of expressing ∇ is:∇ = λ/bM3/4/L1/2.

AB - The problem of surface waviness in ElastoHydrodynamic Lubrication is commonly considered as a first step towards understanding the lubrication of rough surfaces. Both problems are generally transient. The current paper investigates the deformation of sinusoidal waviness in the contact, more precisely it studies the amplitude reduction of one-sided waviness in a transient EHL line contact. The film thickness amplitude at X = 0 is called Ad (deformed amplitude). It is shown that for waviness amplitudes smaller than the film thickness Ai <Hc, the ratio Ad/Ai is independent of the undeformed amplitude Ai. In other words: for small amplitudes the deformed amplitude depends linearly on the initial amplitude Ai. Rather surprisingly, the same behaviour is found for Ai >Hc. The results show that qualitatively waviness with short wavelengths λ/b < 1 is hardly deformed, thus Ad ≃Ai. Long wavelengths on the contrary, disappear nearly completely: Ad ≪Ai thus Ad/Ai ≃ 0. However, quantitatively the amplitude reduction was found to depend also on the contact operating conditions. With a generalized coordinate ∇, instead of λ/b, the relative amplitude Ad/Ai can be described by a single function of ∇ for all operating conditions: Ad/Ai = F(∇),∀(M, L). A possible way of expressing ∇ is:∇ = λ/bM3/4/L1/2.

KW - METIS-145688

U2 - 10.1016/S0167-8922(08)70440-1

DO - 10.1016/S0167-8922(08)70440-1

M3 - Conference contribution

SN - 0-444-82809-5

T3 - Tribology Series

SP - 103

EP - 112

BT - Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction

A2 - Dowson, D.

PB - Elsevier

ER -

Venner CH, Couhier F, Lubrecht AA, Greenwood JA. Amplitude Reduction of Waviness in Transient EHL Line Contacts. In Dowson D, editor, Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering. Elsevier. 1997. p. 103-112. (Tribology Series). https://doi.org/10.1016/S0167-8922(08)70440-1