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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 1, Pages 12–21 (Mi pmtf1690)  

Nonstationary axisymmetric problem of electroelasticity for a piezoceramic cylinder with circular polarization

D. A. Shlyakhin

Samara State University of Architecture and Civil Engineering, Samara, 443001, Russia
Abstract: This paper considers the problem of the propagation of forced electroelastic axisymmetric torsional waves in a hollow piezoceramic cylinder of finite dimensions, whose curvilinear electroded surfaces are subjected to shear stresses or an electrical potential. A new closed solution is constructed by expansion in vector eigenfunctions using the structural algorithm of finite integral transforms, which makes it possible to determine vibration eigenfrequencies, the stress-strain state of the element, and the potential and intensity of the induced electrical field.
Keywords: coupled problem, direct and inverse piezoeffects, cylinder of finite dimensions, axisymmetric dynamic loading.
Received: 05.12.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 1, Pages 9–17
DOI: https://doi.org/10.1007/s10808-009-0002-5
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: D. A. Shlyakhin, “Nonstationary axisymmetric problem of electroelasticity for a piezoceramic cylinder with circular polarization”, Prikl. Mekh. Tekh. Fiz., 50:1 (2009), 12–21; J. Appl. Mech. Tech. Phys., 50:1 (2009), 9–17
Citation in format AMSBIB
\Bibitem{Shl09}
\by D.~A.~Shlyakhin
\paper Nonstationary axisymmetric problem of electroelasticity for a piezoceramic cylinder with circular polarization
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 1
\pages 12--21
\mathnet{http://mi.mathnet.ru/pmtf1690}
\elib{https://elibrary.ru/item.asp?id=11804061}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 1
\pages 9--17
\crossref{https://doi.org/10.1007/s10808-009-0002-5}
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