Effect of Electrical Boundary Conditions and Direction of Polarization of Piezoceramics on Spectral Characteristics of Axisymmetric Acoustoelectric Waves in Hollow Cylinder

The propagation of axisymmetric waves in a hollow homogeneous piezoceramic cylinder with different electrical boundary conditions on the lateral surfaces is studied on the basis of the linear theory of elasticity and linear electromechanical coupling. A discrete-continuous analytical numerical approach to solving the problems on wave propagation in piezoelectric ceramic hollow cylindrical bodies is proposed. A three-dimensional partial differential equation boundary value problem is reduced to a boundary value problem for a system of ordinary differential equations by representing the components of elastic tensors, displacement vectors, electric displacement, and electrostatic potential as waves traveling along the axial coordinate. The one-dimensional problem is solved by a stable method of discrete orthogonalization. The effect of electrical boundary conditions and the polarization direction of piezoceramics on the spectral characteristics of electroelastic wave propagation in a hollow piezoceramic homogeneous cylinder is analyzed.