 | | 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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| V.V. Vasiliev, V.A. Salov, and A.A. Skleznev, "Stability of an Infinitely Long Cylindrical Shell under the Action of External Pressure Created by Winding Flexible Filaments," Mech. Solids. 57 (6), 1330-1337 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1330-1337 |
| DOI |
10.3103/S0025654422060292 |
| Title |
Stability of an Infinitely Long Cylindrical Shell under the Action of External Pressure Created by Winding Flexible Filaments |
| Author(s) |
V.V. Vasiliev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, vvvas@dol.ru)
V.A. Salov (JSC Central Research Institute for Special Machinery, Khotkovo, Moscow Region, 141371 Russia)
A.A. Skleznev (JSC Central Research Institute for Special Machinery, Khotkovo, Moscow Region, 141371 Russia) |
| Abstract |
The article deals with the problem of stability of an infinitely long cylindrical shell, on which absolutely flexible threads are wound under tension, compressing the shell so that it can lose stability. Using the equations of the nonlinear theory of shells, an exact solution is obtained that determines the critical tension of the threads. It has been established that the critical tension is determined by a universal formula that includes the radius and flexural rigidity of the shell. Using the concept of continuing loading, the obtained solution is generalized to the case of an elastic-plastic shell material. The problem of pressure on an elastic shell by layers of elastic threads wound with tension is considered. The solution is compared with the results of an experiment carried out on shells made of steel, aluminum and thermoplastic. |
| Keywords |
cylindrical shell, stability of the shell under external pressure, stability of the shell under tension of the filaments wound around it |
| Received |
15 March 2022 | Revised |
16 March 2022 | Accepted |
17 March 2022 |
| Link to Fulltext |
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