The propagation of nonaxisymmetric waves in layered hollow cylinders with radially polarized piezoceramic layers is studied. The associated problem is solved with an effective numerical-analytic method. The original three-dimensional problem of electroelasticity for partial differential equations is reduced to a boundary-value eigenvalue problem for ordinary differential equations by representing the components of the stiffness tensor, displacement vectors, electric-flux density, and electrostatic potential as standing circumferential waves and traveling axial waves. The problem is solved with the stable discrete-orthogonalization method in combination with the incremental search method. The dispersion equations are numerically analyzed over a wide range of variation in the geometrical characteristics of cylinders with piezoceramic layers
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Translated from Prikladnaya Mekhanika, Vol. 49, No. 6, pp. 17–25, November–December 2013.
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Grigorenko, A.Y., Loza, I.A. Nonaxisymmetric Waves in Layered Hollow Cylinders with Radially Polarized Piezoceramic Layers. Int Appl Mech 49, 641–649 (2013). https://doi.org/10.1007/s10778-013-0597-3
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DOI: https://doi.org/10.1007/s10778-013-0597-3