 | | 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.V. Vasil'ev, "To the Problem of Stability of a Cylindrical Shell under Axial Compression," Mech. Solids. 46 (2), 161-169 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
161-169 |
| DOI |
10.3103/S0025654411020026 |
| Title |
To the Problem of Stability of a Cylindrical Shell under Axial Compression |
| Author(s) |
V.V. Vasil'ev (Moscow State Aviation Technological University, Orshanskaya 3, Moscow, 121552 Russia, vvvas@dol.ru) |
| Abstract |
The classical problem of stability of a thin elastic cylindrical shell loaded by axial compressions forces is considered. The axially symmetric and non-axisymmetric buckling modes of isotropic and orthotropic shells are studied. In contrast to the traditional approach, the well-known expressions for the critical load are obtained by analyzing the equations for the shell behavior and are independent of the boundary conditions. |
| Keywords |
cylindrical shell, stability, compression, critical force |
| References |
| 1. | A. S. Vol'mir,
Stability of Deformable Systems
(Nauka, Moscow, 1967)
[in Russian]. |
| 2. | S. N. Kan,
Structural Mechanics of Shells
(Mashinostroenie, Moscow, 1966)
[in Russian]. |
| 3. | E. I. Grigolyuk and V. V. Kabanov,
Stability of Circular Cylindrical Shells,
in Itogi Nauki i Tekhniki, Mekhanika Deformiruemogo Tverdogo Tela
(VINITI, Moscow, 1969)
[in Russian]. |
| 4. | N. A. Kilchevskii,
"On Axially Symmetric Deformation and Elastic Stability of a Circular Tube
under the Action of Longitudinal Compressive Forces,"
Prikl. Mat. Mekh.
6 (6), 497-508 (1942)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 5. | N. A. Kilchevskii,
Mechanics of Continuum Systems,
in Selected Works
(Naukova Dumka, Kiev, 1984)
[in Russian]. |
| 6. | A. V. Karmishin, V. A. Lyaskovets, V. I. Myachenkov, and A. N. Frolov,
Statics and Dynamics of Thin-Walled Shell Structures
(Mashinostroenie, Moscow, 1975)
[in Russian]. |
| 7. | V. V. Vasil'ev,
Mechanics of Structures Made of Composite Materials
(Mashinostroenie, Moscow, 1988)
[in Russian]. |
|
| Received |
15 December 2010 |
| Link to Fulltext |
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