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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2016, Volume 158, Book 1, Pages 141–151
(Mi uzku1358)
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This article is cited in 3 scientific papers (total in 3 papers)
Impact of non-stationary pressure on a cylindrical shell with elastic core
D. V. Tarlakovskiiab, G. V. Fedotenkovb a Research Institute of Mechanics, Moscow State University, Moscow, 119192 Russia
b Moscow Aviation Institute (National Research University), Moscow, 125993 Russia
Abstract:
The solution of the non-stationary problem for thin elastic circular cylindrical shell filled with an elastic medium under the influence of external non-stationary pressure has been obtained based on the superposition principle. Using the apparatus of expansions in the Fourier series and the Laplace integral transforms in time, the non-stationary function of the impact shell with core has been constructed. The construction of the original coefficients of the series expansions has been carried out analytically with the help of the asymptotically equivalent functions. Examples of calculations are presented.
Keywords:
non-stationary problems, S. P. Timoshenko's shell model, elastic core, function of influence, principle of superposition, non-stationary pressure.
Received: 24.08.2015
Citation:
D. V. Tarlakovskii, G. V. Fedotenkov, “Impact of non-stationary pressure on a cylindrical shell with elastic core”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158, no. 1, Kazan University, Kazan, 2016, 141–151
Linking options:
https://www.mathnet.ru/eng/uzku1358 https://www.mathnet.ru/eng/uzku/v158/i1/p141
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Abstract page: | 512 | Full-text PDF : | 165 | References: | 56 |
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