 | | 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. M. Vorobel’, G. Ya. Popov, and V. V. Reut, "Forced Vibrations of a Boxed Shell of Square Cross-Section," Mech. Solids. 44 (6), 907-914 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
6 |
Pages |
907-914 |
| DOI |
10.3103/S0025654409060089 |
| Title |
Forced Vibrations of a Boxed Shell of Square Cross-Section |
| Author(s) |
V. M. Vorobel’ (Mechnikov Odessa National University, Dvoryanskaya 2, Odessa, 65082 Ukraine, vrbl@rambler.ru)
G. Ya. Popov (Mechnikov Odessa National University, Dvoryanskaya 2, Odessa, 65082 Ukraine, popov@onu.edu.ua)
V. V. Reut (Mechnikov Odessa National University, Dvoryanskaya 2, Odessa, 65082 Ukraine, reut@onu.edu.ua) |
| Abstract |
We construct the solution of the problem on the steady-state
vibrations of a finite boxed shell of square cross-section with symmetry conditions at the shell ends. We present the dispersion curves, find the natural frequencies, and study the stress distribution in the shell. We obtain a simple formula for the approximate analysis of the shell in the case of low-frequency vibrations on the basis of the expansion of the solution in two small parameters and on the Lagrange interpolation formula. |
| Keywords |
forced vibrations, boxed shell, asymptotics, stressed state |
| References |
| 1. | V. I. Mossakovskii and D. V. Kulikov,
"The Method of Homogeneous Solutions for Box-Type Shells
under Dynamic Loads,"
Dokl. Akad. Nauk Ukr. SSR. Ser. A,
No. 1, 24-27 (1987). |
| 2. | Yu. I. Bobrovnitskii and M. D. Genkin,
"Wave Propagation in Thin-Walled Rods,"
in Vibration Isolation Systems in Machines and Structures
(Nauka, Moscow, 1977),
pp. 32-48
[in Russian]. |
| 3. | V. A. Grishin, G. Ya. Popov, and V. V. Reut,
"Analysis of Box-Like Shells of Rectangular Cross-Section,"
Prikl. Mat. Mekh.
54 (4), 605-612 (1990)
[J. Appl. Math. Mech. (Engl. Transl.)
54 (4), 501-507 (1990)]. |
|
| Received |
29 August 2007 |
| Link to Fulltext |
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