Abstract
The coupled problem of the forced axially symmetric vibrations and self-heating of clamped and hinged flexible circular plates with viscoelastic piezoelectric layers as sensors and actuators is solved. The mechanical and electric excitation of vibrations and the damping of mechanical vibrations by applying the appropriate potential difference to the electrodes of the actuators are studied. The effect of geometrical nonlinearity on the frequency-dependence of the deflection, self-heating temperature, and sensor voltage of a plate under harmonic electromechanical loading at principal bending resonance is analyzed
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