IEEE Trans Ultrason Ferroelectr Freq Control. 2021 Mar;68(3):760-766. doi: 10.1109/TUFFC.2020.3014437. Epub 2021 Feb 25.
The piezoelectric spherical transducers have attracted extensive attention in hydroacoustics and health monitoring. However, most reported piezoelectric spherical transducers are merely analyzed by the thin spherical shell theory, which is unsuitable for the gradually increased spherical shell thickness. Therefore, it is necessary to develop the radial vibration theory of the piezoelectric spherical transducer with arbitrary wall thickness. Herein, an exact analyzing model for the radial vibration of the piezoelectric spherical transducer with arbitrary wall thickness is proposed. The radial displacement and electric potential for radial vibration of the piezoelectric spherical transducer are precisely given, and then, the electromechanical equivalent circuit is obtained. Based on the electromechanical equivalent circuit, the resonance/antiresonance frequency equations of piezoelectric spherical transducers in the radial vibration are obtained. Besides, the relationship between performance parameters and wall thicknesses is discussed. The wall thickness has a significant influence on the performance parameters of the spherical transducer. The accuracy of the theory is validated by comparing the results with the experiment and finite element analysis.
压电球形换能器在水声和健康监测领域引起了广泛关注。然而，大多数报道的压电球形换能器仅通过薄球壳理论进行分析，这对于逐渐增加的球壳厚度是不适用的。因此，有必要开发具有任意壁厚的压电球形换能器的径向振动理论。本文提出了一种任意壁厚压电球形换能器径向振动的精确分析模型。精确给出了压电球形换能器径向振动的径向位移和电势，然后得到了机电等效电路。基于机电等效电路，得到了径向振动中压电球形换能器的共振/反共振频率方程。此外，还讨论了性能参数与壁厚之间的关系。壁厚对球形换能器的性能参数有显著影响。通过将结果与实验和有限元分析进行比较，验证了该理论的准确性。
