doi: 10.18698/2309-3684-2015-2-4657
The article describes a method for calculating the dynamic stability of cylindrical shell under axial compressive time-varying load. The case of linearly varying load was con-sidered as an example.
Volmir A.S. Ustoichivost deformiruemykh system [Stability of Deformable Sys-tems]. Moscow, Nauka Publ., 1967, 984 p.
[2] Belonosov S.M. Matematicheskoe modelirovanie ravnovesnykh sostoyaniy uprugikh tonkikh obolochek [Mathematical Modeling of the Equilibrium States of Thin Elastic Shells]. Moscow, Nauka Publ., 1993, 158p.
[3] Algazin O.D., Butina T.A., Dubrovin V.M. Vestnic MGTU im. N.E. Baumana. Spetsialnyy vypusk: Matematicheskoe modelirovanie – Herald of the Bauman Moscow State Technical University, 2011, special issue “Mathematical modeling”, p. 3.
[4] Rabotnov Yu.N. Problemy mekhaniki deformiruemogo tverdogo tela [Problems of Deformable Solid Mechanics]. Selected Works. Moscow, Nauka Publ., 1991, 194 p.
[5] Zhilin P.A. Aktualnye problemy mekhaniki [Actual Problems in Mechanics].
St. Petersburg, SPbPU Publ., 2006, 306 p.
[6] Vlasov V.Z. Izbrannye Trudy. Obschaya teoriya oboloche. [Selected Works. The General Theory of Shells]. Vol. 1. Moscow, USSR AS Publ., 1962, 528 p.
[7] Zhilin P.A. Osnovy teorii obolochek [Fundamentals of the Theory of Shells].
St. Petersburg, SPbPU Publ., 2006, 166 p.
[8] Dimitrienko Yu.I. Universalnye zakony mekhaniki i elektrodinamiki sploshnoy sredy [Universal Laws of Mechanics and Electrodynamics of Continuous Me-dia]. Vol. 2. Moscow, BMSTU Publ., 2011, 560 p.
[9] Dubrovin V.M., Butina T.A. Inzhenernyi zhurnal: nauka i innovatsii — Engi-neering Journal: Science and Innovations, 2014, no. 4 (28). Available at: http://engjournal.ru/catalog/mathmodel/solid/1233.html
[10]. Butina T.A., Dubrovin V.M. Inzhenernyi zhurnal: nauka i innovatsii — Engi-neering Journal: Science and Innovations, 2012, issue 2. Available at: http://engjournal.ru/articles/44/44.pdf.
[11] Narasimhan K.Y., Hoff N.J. Snapping of Imperfect Thin-Walled Circular Cy-lindrical Shells of Finite Length Trans. ASME, ser. E, 1971, vol. 38, no. 1,
pp. 160–172.
[12] Dubrovin V.M., Butina T.A. Inzhenernyi zhurnal: nauka i innovatsii — Engi-neering Journal: Science and Innovations, 2014, no. 6(30). Available at:
http:// engjournal.ru/catalog/mathmodel/solid/1237.html.
Dubrovin V., Butina T. Modeling of the dynamic stability of a cylindrical shell under the axial compressive load. Маthematical Modeling and Coтputational Methods, 2015, №2 (6), pp. 46-57
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