Analysis on Coupled Vibration of a Radially Polarized Piezoelectric Cylindrical Transducer
Shaanxi Key Laboratory of Ultrasonics, Institute of Applied Acoustics, Shaanxi Normal University, Xi’an 710119, China
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Sensors 2017, 17(12), 2850; https://doi.org/10.3390/s17122850
Received: 11 October 2017
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Revised: 25 November 2017
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Accepted: 25 November 2017
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Published: 8 December 2017
(This article belongs to the Section Physical Sensors)
Coupled vibration of a radially polarized piezoelectric cylindrical transducer is analyzed with the mechanical coupling coefficient method. The method has been utilized to analyze the metal cylindrical transducer and the axially polarized piezoelectric cylindrical transducer. In this method, the mechanical coupling coefficient is introduced and defined as the stress ratio in different directions. Coupled vibration of the cylindrical transducer is regarded as the interaction of the plane radial vibration of a ring and the longitudinal vibration of a tube. For the radially polarized piezoelectric cylindrical transducer, the radial and longitudinal electric admittances as functions of mechanical coupling coefficients and angular frequencies are derived, respectively. The resonance frequency equations are obtained. The dependence of resonance frequency and mechanical coupling coefficient on aspect ratio is studied. Vibrational distributions on the surfaces of the cylindrical transducer are presented with experimental measurement. On the support of experiments, this work is verified and provides a theoretical foundation for the analysis and design of the radially polarized piezoelectric cylindrical transducer.
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Keywords:
piezoelectric cylindrical transducer; coupled vibration; mechanical coupling coefficient; resonance frequency
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MDPI and ACS Style
Xu, J.; Lin, S.; Ma, Y.; Tang, Y. Analysis on Coupled Vibration of a Radially Polarized Piezoelectric Cylindrical Transducer. Sensors 2017, 17, 2850. https://doi.org/10.3390/s17122850
AMA Style
Xu J, Lin S, Ma Y, Tang Y. Analysis on Coupled Vibration of a Radially Polarized Piezoelectric Cylindrical Transducer. Sensors. 2017; 17(12):2850. https://doi.org/10.3390/s17122850
Chicago/Turabian StyleXu, Jie, Shuyu Lin, Yan Ma, and Yifan Tang. 2017. "Analysis on Coupled Vibration of a Radially Polarized Piezoelectric Cylindrical Transducer" Sensors 17, no. 12: 2850. https://doi.org/10.3390/s17122850
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