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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2006-2pp.60-64

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G. I. Kolosov, "Stability of the equilibrium state of an axially compressed closed circular cylindrical shell with respect to small perturbations," Mech. Solids. 41 (2), 60-64 (2006)
Year 2006 Volume 41 Number 2 Pages 60-64
Title Stability of the equilibrium state of an axially compressed closed circular cylindrical shell with respect to small perturbations
Author(s) G. I. Kolosov (Moscow)
Abstract Stability of equilibrium states of axially compressed closed circular shells is analyzed for the Navier boundary conditions using the classical linear shell theory and the dynamic shell buckling criterion. An analytical solution is presented which enables the axial compression parameter value to be determined above which shell buckling under small perturbations of a particular kind becomes probable. Good qualitative and quantitative agreement between the calculated critical axial shell compression parameters and the experimental data is obtained.
References
1.  E. I. Grigolyuk and V. V. Kabanov, Buckling of Shells, Nauka, Moscow, 1978.
2.  I. A. Birger and Ya. G. Panovko (Editors), Strength, Stability, and Vibrations. Volume 3 [in Russian], Mashinostroenie, Moscow, 1968.
3.  G. I. Kolosov, "Determination of the absolute stability boundary for an axially compressed closed circular shell," Kosmonavtika i Raketostroenie, Vol. 38, No. 1, pp. 114-118, 2005.
4.  G. Korn, and T. Korn, Mathematical Handbook for Scientists and Engineers [Russian translation], Nauka, Moscow, 1970.
Received 15 March 2005
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