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Electroviscoelastic oscillations of compound rod-shaped piezoelectric transducers

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Abstract

An analytical method for calculating rod-shaped piezoelectric transducers, consisting of N components, is proposed. Each component is polarized in the axial direction, and neighboring components are oppositely polarized. Electrodes are deposited on the interface of the components and at the ends, and a fixed electric potential is applied to them. The approach is based on reducing the starting boundary-value problem with the help of transfer matrices to a system of algebraic equations. The solution of the system in the case of identical components is found with the help of Chebyshev polynomials of the second kind. The characteristic distributions of the displacements and potential along transducers consisting of five and ten components at their first resonance frequencies are presented.

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Authors
  1. A. M. Bolkisev
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  2. V. V. Levchenko
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  3. A. N. Podlipenets
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  4. N. A. Shul'ga
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Additional information

Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 66–71, 1990.

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Bolkisev, A.M., Levchenko, V.V., Podlipenets, A.N. et al. Electroviscoelastic oscillations of compound rod-shaped piezoelectric transducers. J Math Sci 68, 680–684 (1994). https://doi.org/10.1007/BF01249403

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  • DOI: https://doi.org/10.1007/BF01249403

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