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An applied theory of cylindrical bending vibrations of a bimorph plate is
developed, which takes into account the nonlinear distribution of the electric potential in
piezoelectric layers. Finite-element analysis of this problem showed that such distribution
arises when solving the problems of finding the resonant frequencies and modes of vibration
or in the case of forced oscillations during their mechanical excitation, when the electric
potentials on the electrodes are zero. The quadratic distribution of the electric potential
adopted in the work showed good consistency of the results with finite-element calculations
for natural oscillations and steady-state oscillations for a given potential difference when the
electric potential distribution is close to linear.
Keywords: plate, cylindrical bending, electro elasticity, nonuniform potential distribution |
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