Representation of loss component with complex nonlinear piezoelectric coefficients in piezoelectric ceramics

The imaginary component, xi(D31 beta) of the nonlinear piezoelectric coefficient of the third-higher term, xi(D31), which quantitatively expresses the magnitude of the nonlinearity, was measured in Pb(Mn1/3Sb2/3)O-3-PbZrO3-PbTiO3 (PMS-PZ-PT) system ceramics. The xi(D31 beta) was determined from the phase delay of the third-higher harmonic voltage generated in the samples during constant-current driving. The dependence of xi(D31 beta) on the composition was similar to that of xi(D31). Using the xi(D31 beta), two theoretical equations for the current-jumping phenomenon and the change of mechanical quality factor in high-power driving are constructed. The calculation curves simulated by those theoretical equations agreed with the experimental values measured about the two phenomena. It is revealed that the nonlinear loss component during high-power vibration is quantitatively estimated by introducing the xi(D31 beta). (c) 2011 The Ceramic Society of Japan. All rights reserved.