 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| V. M. Alexandrov and M. I. Chebakov, "On the theory of cylindrical bearing design," Mech. Solids. 39 (1), 14-20 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
1 |
Pages |
14-20 |
| Title |
On the theory of cylindrical bearing design |
| Author(s) |
V. M. Alexandrov (Moscow)
M. I. Chebakov (Rostov-on-Don) |
| Abstract |
We consider a plane contact problem of elasticity which describes interaction
between a rigid cylinder and the interior surface of a thin
cylindrical layer whose outer surface is fixed (Problem 1) or interacts
a smooth rigid surface (Problem 2). Such problems provide acceptable
models of cylindrical journal bearings, especially those subjected to
loads with the angular dimension of the contact area being commensurable with
the bearing diameter, and the bearing insert elastic modulus being much smaller than
that of the other parts of the bearing.
For these elasticity problems we construct asymptotically precise solutions
in the case of relatively small thickness of the elastic cylindrical layer. We also
calculate the contact stresses, the contact region, and the displacements of the journal.
In contrast to previous studies of similar problems (see, for instance [1, 2]),
much attention is given here to the construction of simple asymptotically precise
formulas for a relatively thin cylindrical layer. |
| References |
| 1. | V. M. Alexandrov, V. A. Babeshko, A. V. Belokon',
I. I. Vorovich, and Yu. A. Ustinov,
"A contact problem for a ring-shaped thin layer,"
Inzh. Zh. MTT, No. 1, pp. 135-139, 1966. |
| 2. | M. I. Teplyi, Contact Problems in Domains with Circular Boundaries
[in Russian], Vishcha. Shkola, Lvov, 1983. |
| 3. | V. M. Alexandrov, "On the solution of a class of dual equations,"
Doklady AN. SSSR, Vol. 210, No. 1, pp. 55-61, 1973. |
| 4. | A. N. Tsvetkov and M. I. Chebakov,
"An effective method for solving infinite systems of equations arising in
contact problems of elasticity," PMM [Applied Mathematics and Mechanics], Vol. 55, No. 2, pp. 344-348, 1991. |
| 5. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko,
Nonclassical Mixed Problems in Elasticity [in Russian], Nauka, Moscow, 1974. |
|
| Received |
23 May 2003 |
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