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Information × Registration Number 0216U005941, 0111U000764 , R & D reports Title Numerical analysis of elastoelectric axisymmetric vibrations of piezoceramic bodies of rotation on basis of grid approximation popup.stage_title Head Bezverkhyi Oleksandr, Registration Date 24-03-2016 Organization S.P.Timoshenko Institute of Mechanics popup.description2 New numerical and analytical approaches to the problem of forced harmonic elastoelectric vibrations of cylindrical piezoelectric bodies: using the Hamilton formalism to the radial coordinate and finite-difference approximations for the axial coordinate and based on the Hamilton-Ostrogradskii variational principle and spline approximations on one of the coordinates for different types of polarization of the piezoelectric material are developed. The results of a numerical study of harmonic vibrations and the stress-strain state at different boundary conditions in the case of the radial polarization of the cylindrical bodies are presented. Within the space of the linear theory of electrodynamics the numerical technique for analyzing non-stationary vibrations of the piezoceramic bodies of spherical and cylindrical shape at electrical excitation o on the basis of finite-difference approximations of the spatial coordinates and the implicit and explicit time integration schemes was developed. Nonstationary radial vibrations of thickness polarized piezoceramic hollow spheres with the free outer surfaces at electrical excitation were investigated numerically. The features of the vibrations of the piezoceramic hollow sphere with slits at the electrodes during the nonstationary electrical excitation were studied; the analysis of vibrations dependence on the cut position and the type of excitation was carried out; it was found that the presence of the cut on the electrodes increases the amplitude of oscillation. The numerical method for finding an electromotive force in unsteady mechanical loads for circular and annular piezoceramic plates with different conditions of fixing was proposed. The research results can be used in the construction and improvement of reliability for structural piezoelectric elements of modern technics. Product Description popup.authors Безверхий О.І. Григор'єва Л.О. Дородних Т.І. Зінчук Л.П. Карлаш В.Л. Корнієнко В.Ф. Левченко В.В. popup.nrat_date 2020-04-02 Close
R & D report
Head: Bezverkhyi Oleksandr. Numerical analysis of elastoelectric axisymmetric vibrations of piezoceramic bodies of rotation on basis of grid approximation. (popup.stage: ). S.P.Timoshenko Institute of Mechanics. № 0216U005941
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Updated: 2026-03-13