Spherical piezoelectric transducers of functionally graded materials

In this work, a functionally graded spherical piezoelectric transducer (FG-sPET) is proposed and an accurate theoretical model is constructed, mainly composed of a three-port electromechanical equivalent circuit model (EECM). The EECM of FG-sPET can be connected to that of other vibration systems according to the boundary conditions (force and vibration velocity), making it easier to evaluate the whole mechanical vibration system. The validity of the EECM for FG-sPET is verified by comparison with other literature. The effects of geometric dimensions and non-uniform coefficients on the vibration characteristics (resonance/anti-resonance frequencies and effective electromechanical coupling coefficient) of FG-sPET are also studied, contributing to systematically evaluating the key factors determining the vibration characteristics of FG-sPET. The proposed analytical system is of excellent guidance for the structural optimization design of functionally graded piezoelectric devices. (c) 2022 Acoustical Society of America.

Automated summary

In this study, a functionally graded spherical piezoelectric transducer is proposed and a precise theoretical model is constructed using a three-port electromechanical equivalent circuit model. The model allows for easy evaluation of the entire mechanical vibration system by connecting it with other vibration systems based on boundary conditions. The validity of the model is verified and the effects of key factors on the vibration characteristics of the transducer are studied, providing valuable guidance for structural optimization design.