The propagation of axisymmetric electroelastic waves in hollow cylinders made of a radially polarized functionally gradient piezoceramic material is studied. The material properties vary across the thickness with a power law. The lateral surfaces of the cylinder are free of loads and covered by thin electrodes to which alternating voltage ±V 0 exp[i (kz−ωt)] is applied. To solve the problem, the efficient numerical-analytical method is proposed. The original partial-variable three-dimensional electroelastic problem is reduced, representing components of an elasticity tensor, components of displacement vector, electric-flux density, and electrostatic potential by running waves in an axial direction, to a boundary-value eigen-value problem for ordinary differential equations. This problem is solved with the stable discrete-orthogonolization method. The results of the numerical analysis for the cylinder made of a functionally gradient material (metal and PZT 4 piezoceramics) are presented.
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Translated from Prikladnaya Mekhanika, Vol. 53, No. 4, pp. 22–31, July–August, 2017.
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Grigorenko, A.Y., Loza, I.A. Axisymmetric Acoustoelectric Waves in a Hollow Cylinder Made of a Continuously Inhomogeneous Piezoelectric Material. Int Appl Mech 53, 374–380 (2017). https://doi.org/10.1007/s10778-017-0821-7
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DOI: https://doi.org/10.1007/s10778-017-0821-7