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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 2, Pages 32–45
DOI: https://doi.org/10.15372/PMTF20160204 (Mi pmtf853) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Uniqueness of solution and well-posedness of the problem of determining the fastening parameters of a pipe containing flowing fluid

A. M. Akhtyamovab, G. F. Safinac

a Bashkir State University, Ufa, 450076, Russia
b Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
c Neftekamsk Branch of Bashkir State University, Neftekamsk, 452680, Russia
Full-text PDF (284 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20160204
Abstract: The inverse problem of determining the type and parameters of fastening of the pipe ends from the natural frequencies of the pipe flexural vibrations is formulated and solved for the case of fluid flowing through the pipe. The uniqueness of the solution of the problem is proved, and the Tikhonov well-posedness of the problem is shown. A method for solving the inverse problem is proposed, and examples of the solution are given.
Keywords: pipe containing flowing fluid, vibration frequency, boundary conditions, elastic fastening parameters, diagnostics problem, uniqueness of solution, compact.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-97002-p поволжье a
Received: 13.01.2014
Revised: 16.01.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 2, Pages 219–230
DOI: https://doi.org/10.1134/S0021894416020048
Bibliographic databases:
Document Type: Article
UDC: 532.546; 533.15
Language: Russian
Citation: A. M. Akhtyamov, G. F. Safina, “Uniqueness of solution and well-posedness of the problem of determining the fastening parameters of a pipe containing flowing fluid”, Prikl. Mekh. Tekh. Fiz., 57:2 (2016), 32–45; J. Appl. Mech. Tech. Phys., 57:2 (2016), 219–230
Citation in format AMSBIB
\Bibitem{AkhSaf16}
\by A.~M.~Akhtyamov, G.~F.~Safina
\paper Uniqueness of solution and well-posedness of the problem of determining the fastening parameters of a pipe containing flowing fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 2
\pages 32--45
\mathnet{http://mi.mathnet.ru/pmtf853}
\crossref{https://doi.org/10.15372/PMTF20160204}
\elib{https://elibrary.ru/item.asp?id=26040217}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 2
\pages 219--230
\crossref{https://doi.org/10.1134/S0021894416020048}
Linking options:
  • https://www.mathnet.ru/eng/pmtf853
  • https://www.mathnet.ru/eng/pmtf/v57/i2/p32
    • This publication is cited in the following 1 articles:
    1. A. G. Khakimov, A. A. Yulmukhametov, “Flexural vibrations of the pipeline on elastic supports with moving fluid”, Proceedings of the Mavlyutov Institute of Mechanics, 14:1 (2019), 10–16  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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