Mathematical Modeling

Untied Axisymmetris Dynamic Problem of the Return Piezoeffect for the Radially Polarised Cylinder

D. A. Shlyakhin

Dept. of Resistance of Materials and Construction Mechanics, Samara State Academy of Architecture and Construction, Samara

Abstract: The non-stationary problem of the return piesoeffect for anisotropic piesoceramic radially polarized cylinder is considered untied axisymmetris at action on its external radial surfaces of the electric potential which is any function on axial co-ordinate and time. The new closed decision is developed by a decomposition method to its own vector–functions in the form of structural algorithm of final transformations. The received ratios allow to define frequencies of own fluctuations, the is intense-deformed condition of an element, and also potential and intensity of induced electric field.

Keywords: problem of the return piezoeffect, the piezoceramic cylinder, axisymmetris dynamic loading.

UDC: 539.3

MSC: 74B05, 74S20

Original article submitted 12/X/2009
revision submitted – 29/IX/2010

DOI: 10.14498/vsgtu737

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