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Solution of a problem concerning coupled nonstationary oscillations of a piezoceramic cylinder with radial polarization

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Abstract

A difference scheme is investigated for the solution of dynamical problems related to the theory of electroelasticity (one-dimensional and two-dimensional models), constructed on the basis of a conservation law for the energy of an electromechanical system. Conditions are obtained for the stability of the difference schemes and the convergence of their solutions to solutions of the corresponding differential problems is proven. New a priori estimates are determined for solutions of the difference problems and theorems on their precision are proven. A numerical experiment is conducted for cylinders of various thicknesses and polarizations.

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Literature cited

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Authors and Affiliations

  1. Kiev State University, Kiev

    V. N. Mel'nik

Authors
  1. V. N. Mel'nik
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 68–77, 1989.

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Mel'nik, V.N. Solution of a problem concerning coupled nonstationary oscillations of a piezoceramic cylinder with radial polarization. J Math Sci 67, 3085–3091 (1993). https://doi.org/10.1007/BF01098145

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  • DOI: https://doi.org/10.1007/BF01098145

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