КФУ. Карточка публикации. Solution of the Stabillity Problem for a Thin Shell under Impulsive Loading

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SOLUTION OF THE STABILLITY PROBLEM FOR A THIN SHELL UNDER IMPULSIVE LOADING

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2014

Авторы, сотрудники КФУ

Бахтиева Ляля Узбековна, автор

Тазюков Фэрид Хоснутдинович, автор

Библиографическое описание на языке оригинала

L.U. Bakhtieva, F.Kh. Tazyukov. Solution of the Stabillity Problem for a Thin Shell under Impulsive Loading // Lobachevskii Journal of Mathematics - Pleiades Publishing, Ltd., 2014, Vol. 35, No. 4, pp. 384–389.

Аннотация

The stability problem for a thin shell under an axial impulsive load is considered. A new approach to building a mathematical model is presented, which is based on the Ostrogradskii? Hamilton principle of stationary action. It is shown that the problem reduces to a systemof nonlinear differential equations that can be solved numerically and by using an approximate calculation algorithm developed by the authors. A formula determining the dependence between the load intensity and the initial conditions of the problem is derived. In the above setting, 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.

Ключевые слова

shell, stability, impulse

Название журнала

Lobachevskii Journal of Mathematics

URL

http://kpfu.ru/publication? id=89512

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https://repository.kpfu.ru/?p_id=89512

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Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Бахтиева Ляля Узбековна	ru_RU
dc.contributor.author	Тазюков Фэрид Хоснутдинович	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	L.U. Bakhtieva, F.Kh. Tazyukov. Solution of the Stabillity Problem for a Thin Shell under Impulsive Loading // Lobachevskii Journal of Mathematics - Pleiades Publishing, Ltd., 2014, Vol. 35, No. 4, pp. 384–389.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=89512	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.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, which is based on the Ostrogradskii? Hamilton principle of stationary action. It is shown that the problem reduces to a systemof nonlinear differential equations that can be solved numerically and by using an approximate calculation algorithm developed by the authors. A formula determining the dependence between the load intensity and the initial conditions of the problem is derived. In the above setting, 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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	shell	ru_RU
dc.subject	stability	ru_RU
dc.subject	impulse	ru_RU
dc.title	Solution of the Stabillity Problem for a Thin Shell under Impulsive Loading	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU