The three-dimensional equations of electroelasticity in Cartesian, cylindrical, and spherical coordinates are represented in Hamiltonian form with respect to the thickness coordinate. The boundary-value problem with a harmonic potential difference and zero mechanical load given on the boundaries is solved numerically. The amplitude–frequency characteristics and natural frequencies are compared. The resonant and antiresonant frequencies of the current and the dynamic electromechanical coupling coefficient are determined
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Translated from Prikladnaya Mekhanika, Vol. 47, No. 2, pp. 86–95, March 2011.
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Shul’ga, N.A., Grigor’eva, L.O. Comparative analysis of the electroelastic thickness vibrations of layers with curved boundaries. Int Appl Mech 47, 177–185 (2011). https://doi.org/10.1007/s10778-011-0451-4
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DOI: https://doi.org/10.1007/s10778-011-0451-4