期刊
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL
卷 68, 期 3, 页码 760-766出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TUFFC.2020.3014437
关键词
Transducers; Vibrations; Equivalent circuits; Resonant frequency; Acoustics; Mathematical model; Frequency control; Electromechanical equivalent circuit; piezoelectric spherical transducer; radial vibration; resonance frequency
资金
- National Natural Science Foundation of China [11674206, 11874253]
- Fundamental Research Funds for the Central Universities [2020CBLY003]
This paper proposes an exact analytical model for the radial vibration of piezoelectric spherical transducers with arbitrary wall thickness, discusses the relationship between performance parameters and wall thickness, and validates the accuracy of the theory through experiments and finite element analysis.
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.
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