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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22), Pages 269–275 (Mi vsgtu864)  

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

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

Method of states on the basis of Kilchevskiy's equations for analysis of 3D steady-state oscillation

V. B. Pen'kov, I. N. Stebenev

Dept. of Theoretical Mechanics, Lipetsk State Technical University, Lipetsk

Abstract: General solution of N. A. Kilchevskiy's equations for oscillating three-dimensional solids is constructed. Method of states for analysis of boundary-value problem about oscillations is proven, it is based on the following terms: states of medium (internal and boundary), space of states, scalar product, gilbert isomorphism.

Keywords: theory of elasticity, general solution, Kilchevskiy's equations, method of boundary states, steady-state oscillation

DOI: https://doi.org/10.14498/vsgtu864

Full text: PDF file (1507 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 539.3
MSC: 74B05
Original article submitted 20/XII/2010
revision submitted – 22/II/2011

Citation: V. B. Pen'kov, I. N. Stebenev, “Method of states on the basis of Kilchevskiy's equations for analysis of 3D steady-state oscillation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 269–275

Citation in format AMSBIB
\Bibitem{PenSte11}
\by V.~B.~Pen'kov, I.~N.~Stebenev
\paper Method of states on the basis of Kilchevskiy's equations for analysis of 3D steady-state oscillation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 269--275
\mathnet{http://mi.mathnet.ru/vsgtu864}
\crossref{https://doi.org/10.14498/vsgtu864}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. B. Penkov, L. V. Satalkina, “Itogi i perspektivy metoda granichnykh sostoyanii”, Izvestiya Tulskogo gosudarstvennogo universiteta. Estestvennye nauki, 2013, no. 2–2, 193–211  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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