 | | 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: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
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| In English (Mech. Solids): | | 4760 |
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| G.L. Brovko, V.V. Kozhukhov, and E.D. Martynova, "Proper Motions of the Flat Structure of Cosserat Type," Mech. Solids. 59 (3), 1237-1248 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1237-1248 |
| DOI |
10.1134/S0025654424603148 |
| Title |
Proper Motions of the Flat Structure of Cosserat Type |
| Author(s) |
G.L. Brovko (Lomonosov Moscow State University, Moscow, 119991 Russia, glb@mech.math.msu.su)
V.V. Kozhukhov (Lomonosov Moscow State University, Moscow, 119991 Russia, vladislav.kozhukhov@student.msu.ru)
E.D. Martynova (Lomonosov Moscow State University, Moscow, 119991 Russia) |
| Abstract |
The problem on natural vibrations of a flat strip of anisotropic two-dimensional Cosserat medium under the assumption of small deformations and in the absence of external forces and
moments is investigated. It is shown that two natural frequencies correspond to each wave number.
The natural forms of oscillations and the relation between them are found. It is concluded that at oscillations with the lower of the two frequencies the inclusion rotations accompany the longitudinal displacement of the strip, and at oscillations with a higher frequency they prevent it. The obtained results
are illustrated on the example of a medium model with specific parameter values. The plots show the
dependences of natural frequencies, phase and group velocities on the wave number, and their asymptotic behavior is studied. |
| Keywords |
structural modeling, Cosserat medium, natural vibrations |
| Received |
16 November 2023 | Revised |
06 December 2023 | Accepted |
09 December 2023 |
| Link to Fulltext |
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