 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| M. Ya. Panovko, "Elastohydrodynamic lubrication of a cylindrical roller with rounded edge," Mech. Solids. 38 (2), 31-38 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
31-38 |
| Title |
Elastohydrodynamic lubrication of a cylindrical roller with rounded edge |
| Author(s) |
M. Ya. Panovko (Moscow) |
| Abstract |
The reliability of rolling bearings to a considerable extent depends
on the distribution of contact stresses on the end face of the roller.
A reduction of these stresses can be provided by rounding the axial
profile in the edge part. In this case, to determine the contact stresses,
it is necessary to solve the problem of compression of elastic bodies
having a complex shape. The numerical investigations of [1-4] performed
for dry contact showed that the contact stress sharply increases near
the edge of cylindrical rollers. However, this effect can be
reduced or eliminated by appropriately profiling the roller
in the edge region.
Substantially less investigated are profiled rollers operating
in the elastohydrodynamic (EHD) lubrication mode, which is typical of
many friction units, for example, gearings and rolling bearings.
This is mainly due to difficulties associated with providing
a stable computational process for solving the respective EHD problem.
especially in the case of a severe loading. As applied to the case
of moderate loading, a number of numerical results are presented in [5]
for a cylindrical roller with a rounded edge. The solution obtained
by the lower relaxation method shows, in particular, that the pressure
in the edge region in the case of EHD lubrication is higher than
that in the case of dry contact.
The aim of this paper is to investigate the EHD lubrication for a short
cylindrical roller for various values of the parameter characterizing
the edge rounding radius. This parameter is defined as the ratio of
the radius of the cylinder to that of the rounding of the edge in
the axial direction. We consider both the case where the cylindrical
part smoothly mates the edge and the case where this mating
is not smooth. The computational algorithm utilized to solve this problem
is based on Newton's method applied to solve the system
of integrodifferential equations covering the behavior of the EHD contact. |
| References |
| 1. | M. J. Hartnett, "The analysis of contact stresses in rolling
element bearings," Trans. ASME. J. Lubric. Technol., Vol. 101, No. 1,
pp. 105-109, 1979. |
| 2. | J. W. Kannel and M. J. Hartnett, "Theoretical and experimental
evaluation of edge stresses under severe edge loads, " ASLE Trans. Vol. 26,
No. 1, pp. 25-30, 1983. |
| 3. | J. M. de Mul, J. J. Kalker, and B. Fredriksson, "The contact
between arbitrarily curved bodies of finite dimensions," Trans. ASME. J.
Tribol., Vol. 108, No. 1, pp. 140-148, 1986. |
| 4. | S. Natsumeda, "Application of multi-level multi-integration to
contact problems. Part 1. Non-Hertzian contact in rolling bearings," Proc.
Instn Mech Engrs. J. Engng Tribol., Vol. 213, No. J1, pp. 63-80, 1999. |
| 5. | A. Mostofi and R. Gohar, "Elastohydrodynamic lubrication of finite
line contacts," Trans. ASME. J. Lubric. Technol., Vol. 105, No. 4,
pp. 598-604, 1983. |
| 6. | D. Dowson and G. R. Higginson, Elaso-hydrodynamic Lubrication,
Pergamon Press, Oxford, 1996. |
| 7. | K. P. Oh, "The numerical solution of dynamically loaded
elastohydrodynamic contact as a nonlinear complementarity problem," Trans.
ASME. J. Tribol., Vol. 106, No. 1, pp. 88-95, 1984. |
| 8. | S. M. Belotserkovskii and I. K. Lifanov, Numerical Methods in
Singular Integral Equations and their Applications in Aerodynamics,
Elasticity, and Electrodynamics [in Russian], Nauka, Moscow, 1985. |
| 9. | E. L. Airapetov, I. I. Kudish, and M. Ya. Panovko, "A numerical
method for solving lubrication problems for a severely loaded
elastohydrodynamic contact," Trenie i Iznos, Vol. 13, No. 6, pp. 957-964,
1992. |
|
| Received |
19 April 2001 |
| << Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
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