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.

UDC: 539.3

Received: 05.12.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:1, 9–17

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