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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2014, Issue 3(114), Pages 9–19 (Mi vsgu347)  
This article is cited in 12 scientific papers (total in 12 papers)

Mathematics

Task on longitudinal vibrations of a rod with dynamic boundary conditions

A. B. Beylina, L. S. Pulkinab

a Samara State Technical University, Samara, 443100, Russian Federation
b Samara State University, Samara, 443011, Russian Federation
Full-text PDF (257 kB) Citations (12)
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Abstract: In this paper, one-dimensional longitudinal vibration of a solid rod fixed at the ends by means of local masses and springs is studied. As a mathematical model we use Rayleigh rod. The existence and uniqueness of a generalized solution are proved.
Keywords: Rayleigh rod, dynamic boundary conditions, generalized solution.
Received: 05.12.2013
Revised: 05.12.2013
Document Type: Article
UDC: 517.95, 624.07
Language: Russian
Citation: A. B. Beylin, L. S. Pulkina, “Task on longitudinal vibrations of a rod with dynamic boundary conditions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 9–19
Citation in format AMSBIB
\Bibitem{BeyPul14}
\by A.~B.~Beylin, L.~S.~Pulkina
\paper Task on longitudinal vibrations of a rod with dynamic boundary conditions
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2014
\issue 3(114)
\pages 9--19
\mathnet{http://mi.mathnet.ru/vsgu347}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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