Simulation of radial vibration characteristics of piezoelectric ceramic composite ultrasonic transducer

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (21) : 217-225.

ZHANG Chao, DONG Shimin, LIU Tianming, ZHANG Jingxiang, JIA Hetong, LIU Qingyang

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Abstract

Being different from existing transducer equivalent circuit analysis methods, based on the mechanical system vibration theory, combined with the constitutive equation, radial vibration characteristics of a piezoelectric ceramic composite ultrasonic transducer were analyzed.It was simplified into the mechanical model of a combined thick-walled cylinder composed of a piezoelectric ceramic tube and a metal prestressed one.The radial vibration mathematical model of the transducer was established including radial vibration-wave coupled equation of a piezoelectric ceramic tube and a metal prestressed one, and the combined thick-walled cylinder’s radial vibration continuity condition and boundary conditions.The transducer’s natural frequency equation and mode shape function were derived.The calculation results of its natural frequencies have a higher coincidence rate with experimental measurement values published in references.Based on the analytical method and the difference method, numerical simulation models for the transducer’s radial vibration were established, and the amplitude-frequency characteristics and displacement responses of the transducer’s radial vibration were simulated.The simulation results showed that amplitude-frequency characteristics curves and displacement responses obtained using the two methods, respectively are the same to verify the correctness of the simulation results.Through simulation analysis, it was shown that the effect laws of structure size of the transducer on its radial vibration natural frequency are as follows: if the thickness of metal prestressed tube and piezoelectric ceramic one is constant, the transducer’s natural frequencies decrease with increase in inner diameter of piezoelectric ceramic tube; if the outer diameter of metal prestressed tube and the inner diameter of piezoelectric ceramic one are constant, the transducer’s natural frequencies decrease with increase in thickness ratio of piezoelectric ceramic tube to metal prestressed one.

Key words

radial vibration / piezoelectric ceramic / transducer / natural frequency / amplitude-frequency characteristics

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ZHANG Chao, DONG Shimin, LIU Tianming, ZHANG Jingxiang, JIA Hetong, LIU Qingyang. Simulation of radial vibration characteristics of piezoelectric ceramic composite ultrasonic transducer[J]. Journal of Vibration and Shock, 2020, 39(21): 217-225

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