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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 1, Pages 5–11
(Mi uzku1224)
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This article is cited in 1 scientific paper (total in 1 paper)
Solving the stability problem for a thin shell under impulsive loading
L. U. Bakhtievaa, F. Kh. Tazyukovb a Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
b Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Abstract:
The stability problem for a thin shell under an axial impulsive load is considered. A new approach to building a mathematical model is presented, based on the Ostrogradskii–Hamilton principle of stationary action. It is shown that the problem reduces to a system of nonlinear differential equations that can be solved numerically and by using an approximate calculation algorithm developed by the authors. A formula that determines the dependence between the load intensity and the problem's initial conditions is derived. In the above formulation, the stability problem for a circular cylindrical shell is solved. To determine the critical value of the load impulse, the Lyapunov theory of dynamic stability is used.
Keywords:
shell, stability, impulse.
Received: 20.01.2014
Citation:
L. U. Bakhtieva, F. Kh. Tazyukov, “Solving the stability problem for a thin shell under impulsive loading”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 1, Kazan University, Kazan, 2014, 5–11
Linking options:
https://www.mathnet.ru/eng/uzku1224 https://www.mathnet.ru/eng/uzku/v156/i1/p5
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Abstract page: | 341 | Full-text PDF : | 143 | References: | 57 |
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