KFU. Card publication. Solution of the Stabillity Problem for a Thin Shell under Impulsive Loading

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

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

Form of presentation

Articles in international journals and collections

Year of publication

2014

Authors, employees of KFU

Bakhtieva Lyalya Uzbekovna, author

Tazyukov Ferid Khosnutdinovich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

shell, stability, impulse

The name of the journal

Lobachevskii Journal of Mathematics

URL

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

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=89512&p_lang=2

Resource files

File name	Size (MB)	Format
LOJM384.pdf	0,49	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bakhtieva Lyalya Uzbekovna	ru_RU
dc.contributor.author	Tazyukov Ferid Khosnutdinovich	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/eng/?p_id=89512&p_lang=2	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	Articles in international journals and collections	ru_RU