Heavily loaded point elastohydrodynamically lubricated (EHL) contacts involved in steady purely transitional, skewed transitional, and transitional with spinning motions are considered. It is shown that in the central parts of the inlet and exit zones of such heavily loaded point EHL contacts the asymptotic equations governing the EHL problem along the lubricant flow streamlines for the above types of contact motions can be reduced to two sets of asymptotic equations: one in the inlet and one in the exit zones. The latter sets of equations are identical to the asymptotic equations describing lubrication process in the inlet and exit zones of the corresponding heavily loaded line EHL contact (Kudish, I. I., 2013, Elastohydrodynamic Lubrication for Line and Point Contacts: Asymptotic and Numerical Approaches, Chapman and Hall/CRC). For each specific motion of a point contact, a separate set of formulas for the lubrication film thickness is obtained. For different types of contact motions, these film thickness formulas differ significantly (Kudish, I. I., 2013, Elastohydrodynamic Lubrication for Line and Point Contacts: Asymptotic and Numerical Approaches, Chapman and Hall/CRC). For heavily loaded contacts, the discovered relationship between point and line EHL problems allows to apply to point contacts most of the results obtained for line contacts (Kudish, I. I., 2013, Elastohydrodynamic Lubrication for Line and Point Contacts: Asymptotic and Numerical Approaches, Chapman and Hall/CRC; Kudish, I. I., and Covitch, M. J., 2010, Modeling and Analytical Methods in Tribology, Chapman and Hall/CRC).
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April 2015
Research-Article
Uniform Equations in the Inlet and Exit Zones of Heavily Loaded Point and Line Elastohydrodynamically Lubricated Contacts Involved in Various Steady Motions
Ilya I. Kudish
Ilya I. Kudish
Professor
Fellow ASME
Department of Mathematics,
e-mail: ikudish@kettering.edu
Fellow ASME
Department of Mathematics,
Kettering University
,Flint, MI 48504
e-mail: ikudish@kettering.edu
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Ilya I. Kudish
Professor
Fellow ASME
Department of Mathematics,
e-mail: ikudish@kettering.edu
Fellow ASME
Department of Mathematics,
Kettering University
,Flint, MI 48504
e-mail: ikudish@kettering.edu
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 16, 2014; final manuscript received December 16, 2014; published online February 11, 2015. Assoc. Editor: Sinan Muftu.
J. Tribol. Apr 2015, 137(2): 021503 (9 pages)
Published Online: April 1, 2015
Article history
Received:
September 16, 2014
Revision Received:
December 16, 2014
Online:
February 11, 2015
Citation
Kudish, I. I. (April 1, 2015). "Uniform Equations in the Inlet and Exit Zones of Heavily Loaded Point and Line Elastohydrodynamically Lubricated Contacts Involved in Various Steady Motions." ASME. J. Tribol. April 2015; 137(2): 021503. https://doi.org/10.1115/1.4029448
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