Characterization and Modeling of a Planar Ultrasonic Piezoelectric Transducer for Periodontal Scalers

Caries and periodontitis affect the majority of adults during their lifetime. Piezoelectric ultrasonic scalers offer great benefits during the prevention and treatment of periodontal diseases. Our group developed a novel ultrasonic periodontal scaler based on a planar piezoelectric transducer. However, similar to other piezoelectric configurations, the transducer’s characteristics are strongly influenced by operation conditions. In this study, we investigated the influence of driving voltage amplitude and loading force applied using physical calculus models on the novel planar transducer’s input impedance and vibration. Our results show that the resonance frequency, i.e. the frequency at which maximal deflection of the tip occurs, decreases with increasing driving voltage amplitude while it increases with increasing force. Additionally, decreasing driving voltage amplitudes and increasing force both increase the minimal magnitude and reduce the maximal phase of the input impedance near resonance. Based on these observations, we developed a procedure to extend the Butterworth–Van-Dyke (BVD) Model. The extended BVD models allow to simulate the transducer in realistic scenarios and may facilitate the development of dedicated control systems for planar piezoelectric transducers.