Skip to main content
SpringerLink
Log in

Effect of the Geometry of the Inlet Boundary of a Lubricating Film on the Stress State in the Subsurface Layer of an Elastohydrodynamic Contact of a Profiled Roller

  • RELIABILITY, STRENGTH, AND WEAR RESISTANCE OF MACHINES AND STRUCTURES
  • Published:
Journal of Machinery Manufacture and Reliability Aims and scope Submit manuscript

Abstract

In this paper we formulate and solve numerically the elastohydrodynamic problem about a heavy loaded contact of elastic bodies in the form of a profiled roller. Such contacts are typical for roller bearings and gears. The effect of the geometry of the inlet boundary of the lubricating film on the contact parameters (pressure, thickness of the lubricating film, and subsurface stresses distributions) is studied. A mathematical model of the problem is based on the stationary nonlinear integro-differential equations with boundary conditions for the pressure and on the inequalities. From numerical solutions it follows that the peculiarities of the geometry of the inlet boundary of a lubricating film cause significant qualitative and quantitative variations in distributions of pressure, thickness of the lubricating film in the contact zone, and octahedral stresses in the subsurface layer. It is shown that an increase in the number of irregularities of the inlet oil meniscus leads to an increase in the number of extremums of octahedral stresses.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.

Similar content being viewed by others

REFERENCES

  1. Dowson, D. and Ehret, P., Past, present and future studies in elastohydrodynamics, Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 1999, vol. 213, no. J5, p. 317.

    Article  Google Scholar 

  2. Wedeven, L.D., Evans, D., and Cameron, A., Optical analysis of ball bearing starvation, Trans. ASME, J. Lubric. Technol., 1971, vol. 93, no. 3, p. 349.

    Article  Google Scholar 

  3. Hamrock, B.J. and Dowson, D., Isothermal elastohydrodynamc lubrication of point contacts. Part 4 – starvation results, Trans. ASME, J. Lubric. Technol., 1977, vol. 99, no. 1, p. 15.

    Article  Google Scholar 

  4. Panovko, M.Ya., Numerical investigation of 3D elastohydrodynamic contact with allowance for complex geometry of the inlet boundary of the lubricant film, Mech. Solids, 1996, vol. 31, no. 6, p. 129.

  5. Venner, C.H. and Lubrecht, A.A., Multigrid techniques: Fast and efficient method for the numericalsimulation of elastohydrodynamically lubricated point contact problems, Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 2000, vol. 214, no. J1, p. 43.

    Article  Google Scholar 

  6. Mostofi, A. and Gohar, R., Elastohydrodynamic lubrication of finite line contacts, Trans. ASME, J. Lubric. Technol., 1983, vol. 105, no. 4, p. 82.

    Google Scholar 

  7. Park, T.J. and Kim, K.W., Elastohydrodynamic lubrication of a finite line contact, Wear, 1998, vol. 223, no. 1, p. 102.

    Article  Google Scholar 

  8. Panovko, M.Ya., Elastohydrodynamic lubrication of a cylindrical roller with rounded edge, Mech. Solids, 2003, vol. 38, no. 2, p. 31.

    Google Scholar 

  9. Kostreva, M.M., Elasto-hydrodynamic lubrication: A nonlinear complementarity problem, Int. J. Numer. Methods Fluids, 1984, vol. 4, no. 4, p. 377.

    Article  Google Scholar 

  10. Oh, K.P., The numerical solution of dynamically loaded elastohydrodynamic contact as a nonlinear complementarity problem, Trans. ASME, J. Tribol., 1984, vol. 106, no. 1, p. 88.

    Article  Google Scholar 

  11. Oh, K.P., Li, C.H., and Goenka, P.K., Elastohydrodynamic lubrication of piston skirts, Trans. ASME, J. Tribol., 1984, vol. 109, no. 2, p. 356.

    Article  Google Scholar 

  12. Johnson, K.L., Contact Mechanics, Cambridge: Cambridge Univ. Press, 1985.

    Book  Google Scholar 

  13. Belotserkovskii, S.M. and Lifanov, I.K., Chislennye metody v singulyarnykh integral’nykh uravneniyakh (Numerical Methods in Singular Integral Equations), Moscow: Nauka, 1985.

  14. Airapetov, E.L., Kudish, I.I., and Panovko, M.Ya., A numerical method for solving lubrication problems for a severely loaded elastohydrodynamic contact, J. Friction and Wear, 1992, vol. 13, no. 6, p. 957.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, Russia

    M. Ya. Panovko

Authors
  1. M. Ya. Panovko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Ya. Panovko.

Additional information

Translated by E. Oborin

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Panovko, M.Y. Effect of the Geometry of the Inlet Boundary of a Lubricating Film on the Stress State in the Subsurface Layer of an Elastohydrodynamic Contact of a Profiled Roller. J. Mach. Manuf. Reliab. 49, 680–689 (2020). https://doi.org/10.3103/S1052618820080075

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1052618820080075

Keywords:

Search

Navigation