 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 54, Issue 2 / 2019 | Next article >> |
| P.P. Usov, "Contact Problem of Viscoelastic Cylinder Rolling along a Viscoelastic Base with a Viscous Lubricant Layer," Mech. Solids. 54 (2), 289-302 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
2 |
Pages |
289-302 |
| DOI |
10.3103/S0025654419030221 |
| Title |
Contact Problem of Viscoelastic Cylinder Rolling along a Viscoelastic Base with a Viscous Lubricant Layer |
| Author(s) |
P.P. Usov (National Research University of Electronic Technology, Zelenograd, Moscow, 124498 Russia, usovp@mail.ru) |
| Abstract |
Based on the Kelvin model of a viscoelastic medium, the steady-state motion of a viscous lubricant thin layer between a viscoelastic cylinder and a viscoelastic base is considered. The effect of
a dimensionless parameter proportional to the relaxation time of viscoelastic bodies exerted on the
characteristics of the lubricant layer is studied. It is shown that for a high value of the mentioned
parameter, the solution of the problem concerning the contact between viscoelastic bodies separated
by a thin layer of lubricant is close to the solution of the elastohydrodynamic problem in the case of the
elastic modulus equal to the instantaneous elasticity modulus inherent in viscoelastic bodies. As the
value of the parameter decreases, the high-pressure area exhibits an expansion, whereas the maximum
pressure exhibits a decrease, and the second pressure maximum decreases faster than the first one and
then disappears. It is shown that the coefficient of rolling friction as a function of the relaxation time
has a maximum. At small relaxation time values, the gap at the entry takes such a shape wherethrough
the mode of abundant lubrication is impossible. As a result, the thickness of the lubricant layer rapidly decreases with decreasing relaxation time. |
| Keywords |
viscoelastic cylinder, rolling, lubricant layer thickness, pressure in the lubricant layer, coefficient of friction |
| Received |
29 August 2016 | Revised |
29 August 2016 | Accepted |
29 August 2016 |
| Link to Fulltext |
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