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Free nonaxisymmetric vibrations of radially polarized hollow piezoceramic cylinders of finite length

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The three-dimensional problem of free nonaxisymmetric vibrations of hollow piezoceramic cylinders with axial polarization is considered. An efficient numerical analytic method to solve boundary-value problems is proposed. The original three-dimensional problem of electroelasticity is reduced to a two-dimensional problem by representing the displacement components as standing circumferential waves. Spline collocation with respect to the axial coordinate is used to reduce this two-dimensional problem to an eigenvalue boundary-value problem with respect to the radial coordinate. This problem is solved by the stable discrete-orthogonalization and incremental-search methods. Numerical results are presented and the natural frequencies of the cylinders are analyzed in a wide range of their geometric characteristics

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov 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.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 46, No. 11, pp. 20–30, November 2010.

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Grigorenko, A.Y., Loza, I.A. Free nonaxisymmetric vibrations of radially polarized hollow piezoceramic cylinders of finite length. Int Appl Mech 46, 1229–1237 (2011). https://doi.org/10.1007/s10778-011-0415-8

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  • DOI: https://doi.org/10.1007/s10778-011-0415-8

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