 | | 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.R. Gulgazaryan, L.G. Gulgazaryan, and R.D. Saakyan, "The vibrations of a thin elastic orthotropic circular cylindrical shell with free and hinged edges," J. Appl. Math. Mech. 72 (3), 312-322 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
3 |
Pages |
312-322 |
| Title |
The vibrations of a thin elastic orthotropic circular cylindrical shell with free and hinged edges |
| Author(s) |
G.R. Gulgazaryan (Yerevan, Armenia, ghulgr@yahoo.com)
L.G. Gulgazaryan (Yerevan, Armenia, lusina@mail.ru)
R.D. Saakyan (Yerevan, Armenia) |
| Abstract |
The problem of the existence of natural oscillations of a thin elastic orthotropic circular closed cylindrical shell with free and hinge-mounted ends and of an open cylindrical shell with free and hinge-mounted edges, when the two boundary generatrices are hinge-mounted is investigated. Dispersion equations and asymptotic formulae for finding the natural frequencies of possible vibration modes are obtained using the system of equations corresponding to the classical theory of orthotropic cylindrical shells. A mechanism is proposed by means of which the vibrations can be separated into possible types. Approximate values of the dimensionless characteristic of the natural frequency and the attenuation characteristic of the corresponding vibration modes are obtained using the examples of closed and open orthotropic cylindrical shells of different lengths. |
| Received |
06 February 2007 |
| Link to Fulltext |
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