Abstract
A method of numerically solving an elastohydrodynamic (EHD) contact of shaped rollers with allowance for misalignment of their axes in a plane perpendicular to the rolling direction is advanced. The mode of EHD lubrication is typical of such friction assemblies as roller bearings and gearings, in which the contacting elastic bodies are separated by a lubricant film and deformed under the action of an external load. Results of numerical modeling demonstrate the significant effect of the misalignment angle on the distribution of pressure and thickness of the lubricant film in the EHD contact and can be used further to analyze friction in a contact area and the stress tensor in a subsurface layer. The mathematical model of the EHD contact is described through nonlinear integro-differential equations and inequalities. The computational algorithm is based on Newton’s method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dowson, D. and Ehret, P., Past, Present and Future Studies in Elastohydrodynamics, Proc. Instn. Mech. Engrs. J. Engng Tribol., 1999, vol. 213, no. J5, pp. 317–333.
Hartnett, M.J., The Analysis of Contact Stresses in Rolling Element Bearings, Trans. ASME. J. Lubric. Technol., 1979, vol. 101, no. 1, pp. 105–109.
Kannel, J.W. and Hartnett, M.J., Theoretical and Experimental Evaluation of Edge Stresses under Severe Edge Loads, ASLE Trans, 1983, vol. 26, pp. 25–30.
de Mul, J.M., Kalker, J.J., and Fredriksson, B., The Contact between Arbitrarily Curved Bodies of Finite Dimensions, Trans. ASME. J. Tribol., 1986, vol. 108, no. 1, pp. 140–148.
Natsumeda, S., Application of Multi-Integration to Contact Problems. Part I: Non-Hertzian Contact in Rolling Bearings, Proc. Instr. Mech. Engrs. Part J. J. Engng Tribol., 1999, vol. 213, no. J1, pp. 63–80.
Mostofi, A. and Gohar, R., Elastohydrodynamic Lubrication of Finite Line Contacts, Trans. ASME. J. Lubric. Technol., 1983, vol. 105, no. 4, pp. 598–604.
Park, T.J. and Kim, K.W., Elastohydrodynamic Lubrication of a Finite Line Contact, Wear, 1998, vol. 223, no. 1, pp. 102–109.
Dowson, D. and Higginson, G.R., Elasto-Hydrodynamic Lubrication, Oxford: Pergamon Press, 1966.
Galakhov, M.A., Gusyatnikov, P.V., and Novikov, A.P., Matematicheskie modeli kontaktnoi gidrodinamiki (Mathematical Models of Contact Hydrodynamics), Moscow: Nauka, 1985.
Kostreva, M.M., ElastoHydrodynamic Lubrication: a Nonlinear Complementarity Problem, Intern. J. Numer. Methods in Fluids, 1984, vol. 4, no. 4, pp. 377–397.
Oh, K.P., The Numerical Solution of Dynamically Loaded Elastohydrodynamic Contact as a Nonlinear Complimentarity Problem, Trans. ASME. J. Tribol., 1984, vol. 106, no. 1, pp. 88–95.
Oh, K.P., Li, C.H., and Goenka. P.K., Elastohydrodynamic Lubrication of Piston Skirts, Trans. ASME. J. Tribol., 1987, vol. 109, no. 2, pp. 356–365.
Belotserkovskii, S.M. and Lifanov, I.K., Chislennye metody v singulyarnykh integral’nykh uravneniyakh i ikh primenenit v aerodinamike, teorii uprugosti, elektrodinamike (Numerical Methods in Singular Integral Equations and their Application in Aerodynamics, Theory of Elasticity and Electrodynamics), Moscow: Nauka, 1985.
Additional information
Original Russian Text © M.Ya. Panovko, 2009, published in Problemy Mashinostroeniya i Mashin, 2009, No. 5, pp. 54–60.
About this article
Cite this article
Panovko, M.Y. Numerical modeling an elastohydrodynamic contact of shaped rollers with allowance for misalignment of their axes. J. Mach. Manuf. Reliab. 38, 460–466 (2009). https://doi.org/10.3103/S1052618809050094
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1052618809050094