Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 3, Pages 50–57 (Mi vmumm4476)  

This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Transient oscillations of an underground pipeline and soil at inclined fall of a seismic wave

M. Sh. Israilov

Complex Research Institute named after Kh. I. Ibragimov, Russian Academy of Sciences, Groznyi
Full-text PDF (378 kB) Citations (1)
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Abstract: The coupled unsteady vibrations of an underground pipeline and elastic soil caused by an inclined fall of a plane seismic wave are studied. The coupled self-similar problems are formulated. An analytical solution of the external problem for the soil is obtained. This solution leads to a theoretical expression for the force of interaction between the pipeline and the soil, for which only empirical relations were previously available. Solutions for pipelines in supersonic and subsonic cases demonstrate significantly different behavior, which should be taken into account during earthquake resistance calculations.
Key words: seismic waves, underground pipeline, coupled vibrations, self-similar solutions.
Funding agency Grant number
Russian Foundation for Basic Research 20-08-00024
The work is supported by the Russian Foundation for Basic Research, project no. 20-08-00024.
Received: 27.09.2021
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 3, Pages 66–74
DOI: https://doi.org/10.3103/S0027133022030050
Bibliographic databases:
Document Type: Article
UDC: 539.3:534.1
Language: Russian
Citation: M. Sh. Israilov, “Transient oscillations of an underground pipeline and soil at inclined fall of a seismic wave”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 50–57; Moscow University Mechanics Bulletin, 77:3 (2022), 66–74
Citation in format AMSBIB
\Bibitem{Isr22}
\by M.~Sh.~Israilov
\paper Transient oscillations of an underground pipeline and soil at inclined fall of a seismic wave
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 3
\pages 50--57
\mathnet{http://mi.mathnet.ru/vmumm4476}
\zmath{https://zbmath.org/?q=an:1497.86005}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 3
\pages 66--74
\crossref{https://doi.org/10.3103/S0027133022030050}
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  • https://www.mathnet.ru/eng/vmumm/y2022/i3/p50
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:73
    Full-text PDF :16
    References:25
    First page:3
     
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