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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 4, Pages 144–150 (Mi pmtf2527)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear equations of motion of an extensible underground pipeline: derivation and numerical modeling

V. A. Rukavishnikov, O. P. Tkachenko

Computation Center, Far-East Division, Russian Academy of Sciences, Khabarovsk, 680021
Full-text PDF (285 kB) Citations (4)
Abstract: Slow motion of a pipeline modeled by a bent rod in a viscous medium is studied. It is assumed that the displacements of the axial line of the rod are finite and its strains are small. The mutual influence of the tensile axial force and transverse deflections is taken into account. Equations of motion are derived and some numerical examples are considered. An approximate estimate of stresses in the pipeline wall is given.
Keywords: curved pipeline, viscous medium, finite displacements, numerical analysis.
Received: 18.06.2002
Accepted: 23.01.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 4, Pages 571–583
DOI: https://doi.org/10.1023/A:1024213527532
Bibliographic databases:
Document Type: Article
UDC: 532.595:519.633.6
Language: Russian
Citation: V. A. Rukavishnikov, O. P. Tkachenko, “Nonlinear equations of motion of an extensible underground pipeline: derivation and numerical modeling”, Prikl. Mekh. Tekh. Fiz., 44:4 (2003), 144–150; J. Appl. Mech. Tech. Phys., 44:4 (2003), 571–583
Citation in format AMSBIB
\Bibitem{RukTka03}
\by V.~A.~Rukavishnikov, O.~P.~Tkachenko
\paper Nonlinear equations of motion of an extensible underground pipeline: derivation and numerical modeling
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 4
\pages 144--150
\mathnet{http://mi.mathnet.ru/pmtf2527}
\elib{https://elibrary.ru/item.asp?id=17274819}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 4
\pages 571--583
\crossref{https://doi.org/10.1023/A:1024213527532}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2527
  • https://www.mathnet.ru/eng/pmtf/v44/i4/p144
    • This publication is cited in the following 4 articles:
    1. V. A. Rukavishnikov, O. P. Tkachenko, “Dynamics of a fluid-filled curvilinear pipeline”, Appl. Math. Mech.-Engl. Ed., 39:6 (2018), 905  crossref
    2. V. A. Rukavishnikov, O. P. Tkachenko, AIP Conference Proceedings, 1738, 2016, 030036  crossref
    3. Oleg Tkachenko, “Construction of the Mathematical Model of Complex Pipeline with Variable Geometry”, Procedia Engineering, 165 (2016), 1261  crossref
    4. O.P. Tkachenko, “Numerical analysis of the dynamics of a curvilinear pipeline”, Comp. Contin. Mech., 5:2 (2012), 345  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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