 | | 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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| S.A. Lukankin and V.N. Paimushin, "Static and Dynamic Buckling Modes of a Cylindrical Shell under External Pressure," Mech. Solids. 49 (1), 83-98 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
1 |
Pages |
83-98 |
| DOI |
10.3103/S0025654414010105 |
| Title |
Static and Dynamic Buckling Modes of a Cylindrical Shell under External Pressure |
| Author(s) |
S.A. Lukankin (Scientific and Technical Center for Problems in Dynamics and Strength, Tupolev Kazan State Technical University, K. Marksa 10, Kazan, 420111 Russia, lukankin@dsm.kstu-kai.ru)
V.N. Paimushin (Scientific and Technical Center for Problems in Dynamics and Strength, Tupolev Kazan State Technical University, K. Marksa 10, Kazan, 420111 Russia, dsm@dsm.kstu-kai.ru) |
| Abstract |
We consider the problem of static and dynamic buckling modes of thin shells under external hydrostatic pressure. If the statement of the problem uses the linearized equations of motion obtained in the moderately large bending theory of shells according to the classical or refined model, then part of terms related to the external load in these equations are assumed to be conservative, and the other terms are assumed to be nonconservative. In this connection, we study four statements of the elastic stability problem for a cylindrical shell with hinged faces. The first of them is the statement of the static boundary value problem in the sense of Euler, where the action of external pressure is assumed to be conservative. The second statement is used to study small vibrations near the static equilibrium by a dynamic method for the same conservative load. The third and fourth statements of the problem correspond to the action of a nonconservative load and are similar to the first and second statements, respectively. They use the linearized equations of equilibrium and motion constructed earlier in a consistent version on the basis of a Timoshenko type model and allowing one to reveal all classical and nonclassical shell buckling modes. |
| Keywords |
external hydrostatic pressure, follower load, cylindrical shell, linearized equations of motion, hinging, Euler criterion, dynamic criterion |
| References |
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Stability of Shells
(Nauka, Moscow, 1978)
[in Russian]. |
| 2. | V. N. Paimushin and V. I. Shalashilin,
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70 (1), 100-110 (2006)
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| 3. | V. N. Paimushin,
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of a Cylindrical Shell under Combined Loading,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 125-136 (2007)
[Mech. Solids (Engl. Transl.)
42 (3), 437-446 (2007)]. |
| 4. | V. N. Paimushin,
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and Rectilinear Columns,"
Prikl. Mat. Mekh.
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| 5. | V. N. Paimushin,
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| 11. | V. N. Paimushin,
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Prikl. Mekh.
22 (6), 40-47 (1986). |
| 12. | K. Z. Galimov, V. N. Paimushin, and I. G. Tregulov,
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[in Russian]. |
| 13. | E. I. Grigolyuk and F. N. Shklyarchuk,
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| 14. | V. N. Paimushin,
"On Static and Dynamic Buckling Modes of a Rod-Strip Loaded by Follower Forces,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 95-106 (2008)
[Mech. Solids (Engl. Transl.)
43 (4), 600-609 (2008)]. |
| 15. | V. N. Paimushin and N. V. Polyakova,
"The Consistent Equations of the Theory of Plane Curvilinear Rods for Finite
Displacements and Linearized Problems of Stability,"
Prikl. Mat. Mekh.
73 (2), 303-324 (2009)
[J. Appl. Math. Mech. (Engl. Transl.)
73 (2), 1014-1027 (2009)]. |
|
| Received |
31 March 2011 |
| Link to Fulltext |
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