Numerical solution of the problem of propagation of electroelasticity waves in a solid piezoceramic cylinder
DOI:
https://doi.org/10.15407/dopovidi2022.02.032Keywords:
axisymmetric wave propagation, piezoelectric solid cylinder, numerical method, nonhomogeneous material, dispersion curvesAbstract
The study of the propagation of free axisymmetric waves in a solid piezoelectric cylinder with axial polarization
is carried out on the basis of linear elasticity theory and linear electromechanical coupling. The cylinder lateral
surface are free of loads and are covered by thin electrodes, to which the alternating potential is applied. The
governing system of differential equations in partial derivatives with variable coefficients is obtained. The threedimensional
problem of the theory of electroelasticity in partial derivatives (by presenting components of the
elasticity tensor, component of displacement vectors, electrical induction and electrostatic potential by traveling
waves in the axial direction) is reduced to the boundary value problems for the system of the ordinary differential
equations.The resulting problem is solved by a stable method of discrete orthogonalization with the method of
step-by-step search The proposed approach allows to investigate the nature of propagation of electric-elastic
traveling waves for the case of continuously nonhomogeneous material. The spectral characteristics and a
comparative analysis of traveling waves for homogeneous and nonhomogeneous materials of a solid piezoelectric
cylinder are presented.
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