Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 5, Pages 52–60
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-8 (Mi vmumm4568) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Transfer function calculation for the Poincaré–Steklov operator in the case of a functionally gradient elastic strip

A. A. Bobylevab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-8
Abstract: A boundary value problem is considered in a functionally graded elastic strip. A three-term asymptotic expansion of a transfer function is obtained for the Poincaré–Steklov operator that maps normal stresses to normal displacements on a part of a strip boundary. Padé approximations are determined for the obtained asymptotic series. An approach to computing the transfer function using the asymptotic series and the Padé approximations is proposed, which reduces computational costs.
Key words: functionally graded elastic strip, Poincaré–Steklov operator, transfer function, asymptotic expansion, Padé approximation.
Received: 09.03.2023
English version:
Moscow University Måchanics Bulletin, 2023, Volume 78, Issue 5, Pages 134–142
DOI: https://doi.org/10.3103/S0027133023050023
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. A. Bobylev, “Transfer function calculation for the Poincaré–Steklov operator in the case of a functionally gradient elastic strip”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5, 52–60; Moscow University Måchanics Bulletin, 78:5 (2023), 134–142
Citation in format AMSBIB
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\by A.~A.~Bobylev
\paper Transfer function calculation for the Poincar\'e--Steklov operator in the case of a functionally gradient elastic strip
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 5
\pages 52--60
\mathnet{http://mi.mathnet.ru/vmumm4568}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-5-8}
\elib{https://elibrary.ru/item.asp?id=54669693}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2023
\vol 78
\issue 5
\pages 134--142
\crossref{https://doi.org/10.3103/S0027133023050023}
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