 | | 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 |
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| In English (Mech. Solids): | | 4811 |
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| B. Kh. Eshmatov, "Nonlinear vibrations and dynamic stability of a viscoelastic circular cylindrical shell with shear strain and inertia of rotation taken into account," Mech. Solids. 44 (3), 421-434 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
3 |
Pages |
421-434 |
| DOI |
10.3103/S002565440903011X |
| Title |
Nonlinear vibrations and dynamic stability of a viscoelastic circular cylindrical shell with shear strain and inertia of rotation taken into account |
| Author(s) |
B. Kh. Eshmatov (Tashkent Institute of Irrigation and Melioration, Kary Niyazova 39, Mirzo-Ulugbekskii r-n, Tashkent, 100000 Uzbekistan, ebkh@mail.ru) |
| Abstract |
We consider nonlinear vibration and dynamic stability problems for a viscoelastic circular cylindrical shell according to the refined Timoshenko theory, which takes into account the shear strain and the inertia of rotation, in a geometrically nonlinear setting. The problem data are reduced to systems of nonlinear integro-differential equations with singular relaxation kernels, which can be solved by the Bubnov-Galerkin method combined with a numerical method based on quadrature formulas. We study the numerical convergence of the Bubnov-Galerkin method. We analyze the shell dynamic behavior in a wide range of physical-mechanical and geometric parameters. We demonstrate the influence of the viscoelastic properties of the material on the nonlinear vibrations and dynamic stability of a circular cylindrical shell. We also compare the results obtained according to different theories. |
| References |
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|
| Received |
16 May 2006 |
| Link to Fulltext |
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