 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| G.A. Mammadova, M.A. Rustamova, and S.A. Piriev, "Study of Free Oscillations of a Ribbed Conical Shell Containing an Elastically Suspended Mass in an Elastic Medium," Mech. Solids. 60 (3), 2304-2311 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2304-2311 |
| DOI |
10.1134/S002565442560076X |
| Title |
Study of Free Oscillations of a Ribbed Conical Shell Containing an Elastically Suspended Mass in an Elastic Medium |
| Author(s) |
G.A. Mammadova (Azerbaijan Technical University, Baku, Azerbaijan, guldeste.memmedova@aztu.edu.az)
M.A. Rustamova (Azerbaijan Technical University, Baku, Azerbaijan; Azerbaijan University of Architecture and Construction, Baku, Azerbaijan, mashati.rustamova@aztu.edu.az)
S.A. Piriev (Azerbaijan Technical University, Baku, Azerbaijan, sahib.piriyev@aztu.edu.az) |
| Abstract |
The free vibrations of a conical shell with elastic elements and longitudinally reinforced ribs located in an elastic medium are investigated. The discrete arrangement of the reinforcing ribs is taken into account. The natural frequencies of the shell vibrations are determined by the energy method. In the solution process, an infinite homogeneous algebraic system of equations is obtained. The determinant of the system is set equal to zero and an equation is obtained that allows determining the natural frequencies of the oscillations of the shell with an additional mass. At certain values of the parameters, calculations are made and graphs are constructed. Analysis of the calculation results shows that the minimum natural frequency of the system increases with increasing mass.
As a result, analysis of the curves shows that the effect of the added mass on the minimum natural frequency of the shell oscillations is quite significant. This effect increases with a decrease in the stiffness of the connections between the mass and the shell. |
| Keywords |
deformation, radius, potential energy, frequency, vibration |
| Received |
17 February 2025 | Revised |
03 May 2025 | Accepted |
03 May 2025 |
| Link to Fulltext |
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