 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| G.S. Leizerovich and N.A. Taranukha, "Some features of the natural flexural vibrations of circular rings with initial imperfections," J. Appl. Math. Mech. 76 (2), 220-224 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
2 |
Pages |
220-224 |
| Title |
Some features of the natural flexural vibrations of circular rings with initial imperfections |
| Author(s) |
G.S. Leizerovich (Komsomolsk on Amur, Russia)
N.A. Taranukha (Komsomolsk on Amur, Russia, taranukha@knastu.ru) |
| Abstract |
The effect of small initial deviations from an ideal circular shape on the frequencies and modes of the natural oscillations of a thin ring under conditions of plane deformation is investigated. The analysis is based on the equations of motion of the shallow shell theory when the length of the shell tends to infinity. A new approach is proposed to the construction of a finite-dimensional model of a ring in which it is assumed that initial imperfections lead to the interaction of flexural and radial vibrations. A number of assertions are formulated and proved regarding the specific features which accompany the vibrations of an imperfect ring that apparently also have to be taken into account when investigating the dynamic characteristics of thin circular cylindrical shells with initial imperfections. |
| Received |
04 July 2011 |
| Link to Fulltext |
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