 | | 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: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
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| In English (Mech. Solids): | | 5065 |
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| A.L. Popov, A.O. Vatulyan, D.A. Chelyubeyev, and V.I. Bukhalov, "On the Solution of the Problem of Axial Compression of an Elastic Cylinder with Specified End Displacement Conditions," Mech. Solids. 60 (2), 912-922 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
912-922 |
| DOI |
10.1134/S0025654424605937 |
| Title |
On the Solution of the Problem of Axial Compression of an Elastic Cylinder with Specified End Displacement Conditions |
| Author(s) |
A.L. Popov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia; Moscow State University of Civil Engineering (National Research University), Moscow, 129337 Russia)
A.O. Vatulyan (Southern Federal University, Rostov-on-Don, 344006 Russia, aovatulyan@sfedu.ru)
D.A. Chelyubeyev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia)
V.I. Bukhalov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia; Lyulka Experimental Design Bureau, Subsidiary of PJSC “UEC-UMPO,” Moscow, 129301 Russia, vlad.buhalov@yandex.ru) |
| Abstract |
A new scheme of approximate solution of the problem of axial compression of an elastic cylinder with one movable and the other fixed end with a free lateral surface is presented and refines the
known solution obtained using separation of variables when averaging conditions over stresses on the
lateral surface of the cylinder. The refinement is made by successive removal of discrepancies: first, in
the stress distributions on the lateral surface of the cylinder, then in the radial displacements along the
ends and further in the axial displacement of the movable end. Comparison with the results of numerical solution of the problem by the finite element method for different values of the Poisson ratio and
different combinations of overall dimensions of the cylinder has shown the effectiveness of the proposed approach. |
| Keywords |
elastic cylinder, compression, averaging of boundary conditions, approximate solution |
| Received |
02 May 2024 | Revised |
23 October 2024 | Accepted |
24 October 2024 |
| Link to Fulltext |
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