High-power piezoelectric vibration model considering the interaction between nonlinear vibration and temperature increase.

For high-power piezoelectric devices, nonlinear vibrations and related increases in temperature are critical problems produced by large internal stress and strain. Such nonlinear vibrations have been studied by some researchers; however, the related increase in temperature has not been taken into consideration, because it is a complicated phenomenon. In this study, the mechanism underlying the interaction between nonlinear vibration and temperature increase in a piezoelectric transducer under high-power conditions was clarified. For this purpose, cubic terms of the mechanical strain, the nonlinear transfer matrix method, and the heat conduction equation were combined. Additionally, it is necessary to utilize the distributed parameter model because the temperature increase is not uniform. The calculation results obtained using the measured temperature dependence of material constants verified that the temperature increase significantly degrades the piezoelectric vibration. It is expected that the proposed model will prove indispensable in the development of piezoelectric materials for high-power piezoelectric devices.