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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(1), Pages 103–108
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-103-108 (Mi isu443) 		 
Mechanics

Dynamical simple edge effect in the cylindrical shell with the edge of arbitrary form

V. A. Khalovaa, Y. V. Shevtsovab

a Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
b Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-103-108
Abstract: The purpose of the article is to generalize the results derived in the cases of a circular shell and of a shell with a cut edge. Non-stationary wave process in a cylindrical shell with an arbitrary edge is considered. Half-geodesic frame is introduced on the middle surface of the shell and dynamical simple edge effect is studied. To find the solution Laplace transform is used while the inverse transform is realized via saddle-point method.
Key words: cylindrical shell, wave process, Laplace transform.
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Khalova, Y. V. Shevtsova, “Dynamical simple edge effect in the cylindrical shell with the edge of arbitrary form”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(1) (2013), 103–108
Citation in format AMSBIB
\Bibitem{KhaShe13}
\by V.~A.~Khalova, Y.~V.~Shevtsova
\paper Dynamical simple edge effect in the cylindrical shell with the edge of arbitrary form
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(1)
\pages 103--108
\mathnet{http://mi.mathnet.ru/isu443}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-103-108}
\elib{https://elibrary.ru/item.asp?id=21133486}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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