 | | 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
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| In English (Mech. Solids): | | 4810 |
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| E. A. Korchevskaya and G. I. Mikhasev, "Free vibrations of a laminated cylindrical shell subjected to nonuniformly distributed axial forces," Mech. Solids. 41 (5), 130-138 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
5 |
Pages |
130-138 |
| Title |
Free vibrations of a laminated cylindrical shell subjected to nonuniformly distributed axial forces |
| Author(s) |
E. A. Korchevskaya (Vitebsk)
G. I. Mikhasev (Vitebsk) |
| Abstract |
We consider the problem on free vibrations of a laminated composite
cylindrical shell subjected to nonuniform axial compression. A specific
feature of this problem is the presumed localization of shell vibration
mode shapes near the weakest generator in view of in-plane shear. We use
asymptotic methods to obtain closed formulas for the natural vibration
frequencies and mode shapes allowing for the circumferential nonuniformity
of the loading and the presence of in-plane shear.
By way of example, we consider the problem on free localized vibrations of
a sandwich cylindrical shell. We study the influence of physical properties
of the sheets on the natural frequencies. |
| References |
| 1. | A. E. Armenakas and G. Herrmann,
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| 2. | G. Herrmann and J. Shaw,
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Proc. ASCE J. Eng. Mech. Division, Vol. 91, No. 5, pp. 37-59, 1965. |
| 3. | J. R. Thompson and A. J. Willson,
"The vibrations of a thin walled elastic cylinder under axial stress,"
Int. J. Eng. Sci., Vol. 17, No. 6, pp. 725-733, 1979. |
| 4. | W. L. Neu and H. Reismann,
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Solid Mech. Arch., Vol. 7, No. 2, pp. 97-129, 1982. |
| 5. | M. G. Botogova, G. I. Mikhasev, and E. D. Rafeenko, "Free
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2001. |
| 6. | G. I. Mikhasev,
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Techn. Mech., Bd. 17, H. 3, S. 209-216, 1997. |
| 7. | P. E. Tovstik,
Stability of Thin Shells. Asymptotic Methods,
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| 8. | G. I. Mikhasev and O. M. Zgirskaya, "Local buckling of a thin
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pp. 90-93, 2001. |
| 9. | E. Korchevskaya, G. Mikhasev, D. Marinkovic, and U. Gabbert,
"Buckling and vibrations of composite laminated cylindrical shells
under axial load,"
in Proc. Conference "6 Magdeburger Maschinenbautage," pp. 183-189,
Logos-Verl., Berlin, 2003. |
| 10. | G. Mikhasev, E. Korchevskaya, U. Gabbert, and D. Marinkovic,
"Local buckling, stationary and non-stationary vibrations
of thin composite laminated shells having the weakest spots,"
in J. Loughlan (Editor), Proc. 4th Intern. Conf. on Thin-Walled Structures,
pp. 769-776, Loughborough, UK, 2004. |
| 11. | L. Tong,
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Trans. ASME J. Appl. Mech., Vol. 66, No. 3, pp. 758-763, 1999. |
| 12. | E. I. Grigolyuk and G. M. Kulikov, Laminated Reinforced Shells:
Analysis of Pneumatic Tyres [in Russian], Mashinostroenie, Moscow,
1988. |
| 13. | G. Mikhasev, U. Gabbert, and F. Seeger,
"Local buckling of composite laminated cylindrical shell with
oblique edge under external pressure:
Asymptotic and finite element simulations,"
Techn. Mech., Bd. 21, H. 1, S. 1-12, 2001. |
|
| Received |
06 June 2005 |
| << Previous article | Volume 41, Issue 5 / 2006 | Next article >> |
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