@article{Grigorenko_Loza_Sperkach_Bezugla_2022, place={Kyiv, Ukraine}, title={Numerical solution of the problem of propagation of electroelasticity waves in a solid piezoceramic cylinder}, url={https://dopovidi-nanu.org.ua/ojs/index.php/dp/article/view/2022-2-4}, DOI={10.15407/dopovidi2022.02.032}, abstractNote={<p>The study of the propagation of free axisymmetric waves in a solid piezoelectric cylinder with axial polarization<br>is carried out on the basis of linear elasticity theory and linear electromechanical coupling. The cylinder lateral<br>surface are free of loads and are covered by thin electrodes, to which the alternating potential is applied. The<br>governing system of differential equations in partial derivatives with variable coefficients is obtained. The threedimensional<br>problem of the theory of electroelasticity in partial derivatives (by presenting components of the<br>elasticity tensor, component of displacement vectors, electrical induction and electrostatic potential by traveling<br>waves in the axial direction) is reduced to the boundary value problems for the system of the ordinary differential<br>equations.The resulting problem is solved by a stable method of discrete orthogonalization with the method of<br>step-by-step search The proposed approach allows to investigate the nature of propagation of electric-elastic<br>traveling waves for the case of continuously nonhomogeneous material. The spectral characteristics and a<br>comparative analysis of traveling waves for homogeneous and nonhomogeneous materials of a solid piezoelectric<br>cylinder are presented.</p>}, number={2}, journal={Reports of the National Academy of Sciences of Ukraine}, author={Grigorenko О.Я. and Loza І.А. and Sperkach С.О. and Bezugla А.Д.}, year={2022}, month={May}, pages={32–40} }