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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.], 2012, Issue 1(26), Pages 198–207 (Mi vsgtu910)  

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

Mathematical Modeling

Forced oscillation of piezoceramic cylinder with circumpolarization of material

D. A. Shlyakhin

Samara State University of Architecture and Civil Engineering, Samara

Abstract: The nonstationary elasto-electrodynamics problem for an anisotropic piezoceramic cylinder of finite size with circumpolarization of material is considered for the case when the tangential stresses and the electric potential influence on the radial outside of the cylinder as the arbitrary functions of axial coordinate and time. The new closed solution is obtained by the method of expansion in vector eigenfunctions in the form of structural algorithm of finite transformations. The constructed algorithm allows to determine the eigenfrequencies, stress-strain state of the element, and all the components of the induced electric field.

Keywords: coupled problem of electric elasticity, cylinder of final sizes, axisymmetric dynamic load

DOI: https://doi.org/10.14498/vsgtu910

Full text: PDF file (717 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 517.958:534.143
MSC: Primary 74B05; Secondary 74F15, 74S20
Original article submitted 28/XII/2010
revision submitted – 29/IV/2011

Citation: D. A. Shlyakhin, “Forced oscillation of piezoceramic cylinder with circumpolarization of material”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 198–207

Citation in format AMSBIB
\Bibitem{Shl12}
\by D.~A.~Shlyakhin
\paper Forced oscillation of piezoceramic cylinder with circumpolarization of material
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 198--207
\mathnet{http://mi.mathnet.ru/vsgtu910}
\crossref{https://doi.org/10.14498/vsgtu910}


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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. Shlyakhin D. A., Nestatsionarnaya mekhanika elektrouprugikh polei v elementakh konstruktsii, Samarskii gosudarstvennyi arkhitekturno-stroitelnyi universitet, Samara, 2012  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Number of views:
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