In the highfrequency transducer is higher, it can receive sharp directivity, which can be useful for sonar systems to determine the variety and shape of underwater fine targets. In recent years, several new components happen to be utilized within the field of underwater acoustic highfrequency transducers, but piezoelectric ceramics are still the mainstream materials. Piezoelectric transducers with piezoelectric ceramic because the functional material have larger reliability, effect resistance and longtime operating stability than versatile sensors. It really is the mainstream device of underwater acoustic systems [2]. The thickness vibration mode is definitely the dominant working mode for highfrequency transducers. Mainly because the N-(p-Coumaroyl) Serotonin Protein Tyrosine Kinase/RTK resonance frequency from the thickness vibration mode is comparatively high, the coupling impact is frequent in highfrequency transducers. For disc piezoelectric ceramics, it is actually hard to get a perfect thickness vibration mode. Altering piezoelectric sample sizes can weaken the coupling effect. Nonetheless, the sample size was normally fixed. Around the one particular hand, the coupling reverses the vibration displacement of your piezoelectric vibrator surface, top to decrease of your transmission efficiency of your transducer. However, the coupling causes many indistinguishable resonance peaks to appear near the thickness vibration frequency. Furthermore, coupling tends to make the resonance frequency, impedance traits along with other critical parameters on the transducer less consistent. It tends to make the transducer tough to style to acquire higher yield. A lot of transducer professionals have had in depth discussions on highfrequency broadband transducers [6,7]. Onedimensional vibration theory was normally employed to approximate the thickness vibration of ideal piezoelectric discs, though radial coupling has to be deemed for finitesize piezoelectric discs [8]. As early as 1977, Mori et al. proposed thePublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.Copyright: 2021 by the authors. Licensee MDPI, Basel, Switzerland. This short article is definitely an open access write-up (-)-Chromanol 293B Technical Information distributed beneath the terms and situations on the Inventive Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).Actuators 2021, 10, 226. https://doi.org/10.3390/acthttps://www.mdpi.com/journal/actuatorsActuators 2021, ten,2 ofapparent elasticity technique to take care of the coupling vibration of piezoelectric vibrators [9]. Lin Shuyu, et al. introduced the equivalent elastic coefficient into the coupled vibration of piezoelectric disc plates and rings by an analytical system, and derived the equivalent circuit and resonance frequency equation of multimode coupled vibration of piezoelectric ceramic vibrators [10,11], Li Mingxuan et al. also analyzed the tension voltage traits with the highfrequency thickness mode transducer, and gave the traits of highfrequency oscillation below distinct loads [12]. Apart from the theoretical calculation research, the finite element simulation technique was also employed to investigate the coupling impact. Guo N., Kocbach J. and Lee P. used the finite element technique and numerical analysis technique to analyze the coupled vibration modes of piezoelectric oscillators, and calculated the secondorder theory of transversely coupled longitudinal vibration piezoelectric crystals [135]. D. Kybartas et al. utilised the finite element system to analyze the electromechanical coupling coefficient of each order vibrat.