 | | 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 44, Issue 5 / 2009 | Next article >> |
| V.A. Postnov, "Constructive Symmetry in the Stability Problem for a Cylindrical Shell Reinforced by Stiffening Rings under Hydrostatic Pressure," Mech. Solids. 44 (5), 769-775 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
5 |
Pages |
769-775 |
| DOI |
10.3103/S0025654409050148 |
| Title |
Constructive Symmetry in the Stability Problem for a Cylindrical Shell Reinforced by Stiffening Rings under Hydrostatic Pressure |
| Author(s) |
V.A. Postnov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia) |
| Abstract |
We use the solution of the problem under study which was earlier obtained by the author [1-3] and which is based on a decomposition of the reinforced shell into separate constructive elements (the ribs and the shell itself) and then on deriving the equilibrium equations and consistency conditions for their strains. Under the assumption that the shell precritical state is momentless, this is a sufficiently exact solution. Its drawback is the significant complexity of the computational algorithm. In the present paper, we show that the laboriousness of the algorithm can be reduced dramatically if the shell under study has elements of design symmetry (identical ribs, their uniform spacing, or both). In addition, we present dependencies determining the stiffening rib rigidity needed to ensure that the shell remains stable for a given critical value of the external hydrostatic pressure. |
| Keywords |
cylindrical shell, stability, stiffening element, bending |
| References |
| 1. | V. A. Postnov,
"Stability of Circular Cylindrical Shell
Reinforced by Stiffening Rings under the Action of Transverse and Longitudinal Loads,"
in Strength of Ship Constructions, No. 46
(Tr. LKI, Leningrad, 1964),
pp. 49-58
[in Russian]. |
| 2. | V. A. Postnov,
"Stability of a Circular Cylindrical Shell
Reinforced by Ribs of Different Rigidity,"
in Proc. Sci.-Techn. Conf. in Structural Mechanics, No. 74
(Sudpromgiz, Leningrad, 1966),
pp. 105-110
[in Russian]. |
| 3. | V. M. Kurnaev and V. A. Postnov,
"Stability of Orthotropic Circular Cylindrical Shells
Reinforced by Ring Frames under External Pressure,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 4, 129-137 (1972)
[Mech. Solids (Engl. Transl.)]. |
| 4. | P. A. Sokolov,
"Stability of a Thin Cylindrical Shell Reinforced by
Elastic Rings of Rigidity under the Action of
Transverse and Longitudinal Loads,"
Prikl. Mat. Mekh.
1 (2), 256-281 (1933). |
| 5. | W. A. Nash,
"Buckling of Multiple-Bay of Ring Cylindrical Shells
Subject to External Hydrostatic Pressure,"
Trans. ASME. J. Appl. Mech.
20 (4), 469-474 (1953). |
| 6. | N. A. Alfutov,
"Stability of Cylindrical Shells Reinforced by a Set of Transverse Forces and Loaded by an External Pressure,"
Inzh. Sb.,
No. 23, 36-46 (1956). |
| 7. | Y. Yoshiyuki and N. Matsubara,
"Buckling Strength of Metal Lining of a Cylindrical Pressure Vessel,"
Bull. JSME
12 (51), 421-429 (1969). |
| 8. | J. Tian, C. M. Wang, and S. Swaddiwudhipong,
"Elastic Buckling Analysis of Ring-Stiffened Cylindrical Shells under General Pressure Loading via the Ritz Method,"
Thin-Walled Struct.
35, 1-24 (1999). |
| 9. | V. M. Ryabov,
"Stability of a Cylindrical Shell Reinforced a Transverse Set under External Pressure and Axial Compression,"
Rasch. Prostr. Konstr.,
No. 12, 150-167 (1969). |
| 10. | I. S. Malyutin,
"Stability of Cylindrical Shell Reinforced by Ring Frame
under External Pressure and Axial Forces,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 2, 65-68 (1971)
[Mech. Solids (Engl. Transl)]. |
| 11. | V. M. Darevskii,
"Determining the Critical Pressure for Cylindrical Shell Reinforced by Arbitrarily Located Rings of Different Rigidity,"
Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr.,
No. 3, 72-82 (1963). |
| 12. | I. S. Malyutin,
"Stability of Cylindrical Shell Reinforced by a Regular System of Rings of Different Rigidity,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 6, 185-188 (1976)
[Mech. Solids (Engl. Transl)]. |
| 13. | V. A. Postnov, G. A. Tumashik, and I. V. Moskvina,
"Stability of Circular Cylindrical Shell Reinforced by Stiffening Rings under Action of External Hydrostatic Pressure. Construction Mass Optimization,"
in Nonlinear Problems of Mechanics and Physics of a Deformable Rigid Body, No. 9
(SPbGU, 2005),
pp. 10-21
[in Russian] |
| 14. | V. A. Postnov, G. A. Tumashik, and I. V. Moskvina,
"Stability of Circular Cylindrical Shells Reinforced by Ring Frames under External Hydrostatic Pressure,"
in Proc. 35th Intern. Summer School Conf. Advanc. Probl. Mech.
St. Petersburg, 2007
(St. Petersburg, 2007),
pp. 346-355
[in Russian]. |
|
| Received |
26 November 2007 |
| Link to Fulltext |
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