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Nonaxisymmetric Waves in Layered Hollow Cylinders with Axially Polarized Piezoceramic Layers

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The problem of the propagation of nonaxisymmetric waves in layered hollow cylinders with axially polarized piezoceramic layers is solved using an effective numerical-analytic method. The 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 a combination of standing circumferential waves and traveling axial waves. The problem is solved with the stable discrete-orthogonalization and incremental search methods. The dispersion equations are analyzed numerically over a wide range of geometrical characteristics of the cylinders.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    A. Ya. Grigorenko

  2. National University of Transport, 1 Suvorova St., Kyiv, Ukraine, 01010

    I. A. Loza

Authors
  1. A. Ya. Grigorenko
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  2. I. A. Loza
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Correspondence to A. Ya. Grigorenko.

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Translated from Prikladnaya Mekhanika, Vol. 50, No. 2, pp. 51–59, March–April 2014.

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Grigorenko, A.Y., Loza, I.A. Nonaxisymmetric Waves in Layered Hollow Cylinders with Axially Polarized Piezoceramic Layers. Int Appl Mech 50, 150–158 (2014). https://doi.org/10.1007/s10778-014-0619-9

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  • DOI: https://doi.org/10.1007/s10778-014-0619-9

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