 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| M.A. Il'gamov, "Interaction between the Euler and Rayleigh-Taylor Instabilities," Mech. Solids. 47 (2), 178-186 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
2 |
Pages |
178-186 |
| DOI |
10.3103/S0025654412020045 |
| Title |
Interaction between the Euler and Rayleigh-Taylor Instabilities |
| Author(s) |
M.A. Il'gamov (Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, pr-t Oktyabrya 71, Ufa, Bashkortostan, 450054 Russia, ilgamov@anrb.ru) |
| Abstract |
Using the simplest hydroelastic system as an example, we study the mutual influence of the buckling of an elastic plate under a compressing force and the deviations of the contact interface between fluids of distinct densities. The system is in an acceleration field perpendicular to the contact interface between the media. Depending on the compressing force variation law, the problem is considered in either the linear static or the dynamic statement. The prevailing formation of short waves in the plate under dynamic loading is taken into account. The cases of absence of the action of a compressing force on the plate and of its contact with the fluid, of equal densities of the two fluids, and of their small influence on the system dynamics, as well as the influence of the distribution of the initial plate deflection over the harmonics on the system dynamics, in particular, mode rearrangement in the buckling process, are studied. |
| Keywords |
plate, buckling, stability, dynamic loading |
| References |
| 1. | A. S. Vol'mir,
Stability of Deformable Systems
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[in Russian]. |
| 2. | I. A. Birger and Ya. G. Panovko (Editors)
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[in Russian]. |
| 3. | H. J. Kull,
"Theory of the Rayleigh-Taylor Instability,"
Phys. Rep.
206 (5), 197-325 (1991). |
| 4. | G. I. Taylor, "The Instability of Liquid Surfaces when Accelerated
in a Direction Perpendicular to Their Planes. I," Proc. Roy. Soc.
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| 5. | N. A. Inogamov, A. Yu. Demianov, and E. E. Son,
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| 6. | I. G. Lebo and V. F. Tishkin, Studies of Hydrodynamic
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(Fizmatlit, Moscow, 2006) [in Russian]. |
| 7. | M. A. Lavrentiev and A. Yu. Ishlinsky, "Dynamic Shapes of Buckling
of Elastic Systems," Dokl. Akad. Nauk SSSR 64 (6),
779-782 (1949). |
| 8. | V. M. Petrov and F. L. Chernousko, "Equilibrium of a Fluid
Localized by a Flexible Film," Izv. Akad. Nauk SSSR. Mekh. Tverd.
Tela, No. 4, 131-142 (1971). |
| 9. | M. A. Il'gamov,
Static Problems of Hydroelasticity
(Izd-vo IMM RAN, Kazan, 1994)
[in Russian]. |
| 10. | M. A. Il'gamov,
"Stability of the Spherical Shape of Shells and Cavities,"
in Proc. Inst. Mech., Ufa Scientific Center RAS, No. 5
(2007), pp. 38-59.
[in Russian]. |
|
| Received |
25 January 2010 |
| Link to Fulltext |
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