Nonlinear elastic phenomena near the radial antiresonance frequency in piezoceramic discs

The aim of this work is to study the nonlinear behaviour of a ceramic through the analysis of the radial mode at resonance and antiresonance frequencies. To obtain the nonlinear characterization from the impedance measurements, a correction of the current and impedance is proposed in order to obtain simple relationships between the motional impedance and the mean stress. The obtained relations are weakly dependent on frequency. This behaviour is also verified at resonance and at antiresonance. We use a nonlinear model where the elastic, dielectric and piezoelectric coefficients depend on the mean amplitude of the stress, which is more complete than the discrete elements models (RLC type), that are fulfilled only near the resonance.