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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2012, Volume 12, Issue 1, Pages 63–69 (Mi isu282)  

Mechanics

Analysis of algorithms study of stability of thin-walled shells

V. V. Karpov

Saint-Petersburg State University of Architecture and Civil Engineering, Chair of Applied Mathematics and Informatics

Abstract: We consider three variants of algorithms for studying the stability of thin-shell: An algorithm based on the Ritz method and iterative processes, an algorithm based on the method of steepest descent, the algorithm based on a method of extending the solution to the parameter. Analyzes the results of the study of shells produced using these algorithms.

Key words: algorithms for the stability of shells, the algorithm of the Ritz method, the algorithm is the method of steepest descent algorithm of the continuation parameter.

DOI: https://doi.org/10.18500/1816-9791-2012-12-1-63-69

Full text: PDF file (319 kB)
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UDC: 539.3

Citation: V. V. Karpov, “Analysis of algorithms study of stability of thin-walled shells”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:1 (2012), 63–69

Citation in format AMSBIB
\Bibitem{Kar12}
\by V.~V.~Karpov
\paper Analysis of algorithms study of stability of thin-walled shells
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 1
\pages 63--69
\mathnet{http://mi.mathnet.ru/isu282}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-1-63-69}
\elib{http://elibrary.ru/item.asp?id=17574803}


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  • Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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