Large-scale piezoelectric ultrasonic transducers with tubular near-period phononic crystal point defect structure

Lin Ji-Yan; Lin Shu-Yu

doi:10.7498/aps.72.20230195

Abstract

The coupling vibration of large-scale piezoelectric ultrasonic transducer will make the average value of the longitudinal displacement amplitude of its radiation surface small and the amplitude distribution uneven, which seriously affects the performance and reliability of the system. In order to improve the performance of large-scale ultrasonic vibration system, a two-dimensional hole/slot near-periodic phononic crystal structure is used to suppress the transverse vibration, but the structure will in turn affect the mechanical strength of the transducer while achieving the suppression of the transverse vibration. The working bandwidth and other performance parameters have adverse effects. Based on this, a new idea of optimizing the large-scale sandwich longitudinal vibration piezoelectric ceramic transducer by using the tubular near-periodic phononic crystal point defect structure is proposed. This method can not only use the point defect mode of the constructed solid/gas two-dimensional near-periodic phononic crystal structure to obtain extremely low energy loss, but also effectively improve the longitudinal displacement amplitude and amplitude distribution uniformity of the radiation surface of the system. The double annular holes in the pipe string structure can also be used to enhance the multiple scattering of sound waves, so that the transducer can also produce a band gap under the low conditions of the pipe string, effectively suppressing the transverse vibration, at the same time, significantly broadening the working bandwidth of the transducer system, enhancing the stability and mechanical strength of the system, and reducing the processing cost. Simulation results and experimental processing test results also prove the effectiveness of the optimization.In order to find the best parameters for the performance of the large-scale longitudinal vibration piezoelectric ultrasonic transducer, in the paper the finite element analysis software is used to study the influence of the inner radius r₁ of the pipe string, the width r of the pipe string ring, the radius R of the outermost air cylinder hole, and the height h₂ of the pipe string at the longitudinal resonance frequency of the transducer performance, the longitudinal displacement amplitude distribution uniformity of the radiation surface, and the average longitudinal displacement amplitude. In the research is finally found the range of parameters that can make the performance of the transducer reach a relatively ideal state. The simulation results show that the tubular near-periodic phononic crystal point defect structure can improve the performance of large-scale longitudinal vibration piezoelectric ultrasonic transducer.

Keywords:

Authors and contacts

Lin Ji-Yan^1,2,
Lin Shu-Yu²

1.
School of Information Engineering, Yulin University, Yulin 719000, China
2.
Shaanxi Key Laboratory of Ultrasonics, Shaanxi Normal University, Xi’an 710119, China

Corresponding author: Lin Shu-Yu, sylin@snnu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 12174240, 11964040) and the Doctoral Research Start-up Fund, China (Grant No. 22GK26).

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References

[1]	刘晓晗, 黄大鸣, 王兴军, 张春红, 朱海军, 蒋最敏, 王迅 1997 46 200 Google Scholar Liu X H, Huang D M, Wang X J, Zhang C H, Zhu H J, Jiang Z M, Wang X 1997 Acta Phys. Sin. 46 200 Google Scholar
[2]	Sigalas M M, Economou E N 1992 J. Sound Vib. 158 377 Google Scholar
[3]	Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022 Google Scholar
[4]	Adibi A, Lee R K 2002 Elec. Lett. 36 1376 Google Scholar
[5]	Wang Y F, Wang Y S 2013 J. Vib. Acoust. 135 041009 Google Scholar
[6]	Das S, Dwivedi K, Rajasekharan S G, Rao Y 2021 J. Vib. Control 27 827 Google Scholar
[7]	Yang S, Yu W D, Pan N 2011 Physica B 406 963 Google Scholar
[8]	Hsu J C, Wu T T 2006 Phys. Rev. B 74 144303 Google Scholar
[9]	Khelif A, Aoubiza B, Mohammadi S, Adibi A, Laude V 2006 Phys. Rev. E 74 046610 Google Scholar
[10]	Benchabane S, Gaiffe O, Salut R, Ulliac G, Laude V, Kokkonen K 2015 Appl. Phys. Lett. 106 081903 Google Scholar
[11]	Ma T X, Fan Q S, Zhang C, Wang Y S 2021 J. Appl. Phys. 129 145104 Google Scholar
[12]	Wu F, Hou Z, Liu Z, Liu Y 2001 Phys. Lett. A 292 198 Google Scholar
[13]	Miyashita T 2014 Jpn. J. Appl. Phys. 45 4440 Google Scholar
[14]	Li F, Liu J, Wu Y H 2011 J. Appl. Phys. 109 124907 Google Scholar
[15]	Li Y G, Chen T N, Wang X, Ma T, Ping J 2014 J. Appl. Phys. 116 0249041 Google Scholar
[16]	Lin S 2009 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56 1990 Google Scholar
[17]	Lin S 1995 Appl. Acoust. 44 249 Google Scholar
[18]	Ren S C 1983 Acta Acust. 1 152 Google Scholar
[19]	Rani M R, Prakasan K, Rudramoorthy R 2014 Inter. J. Desi. Eng. 5 344 Google Scholar
[20]	Adachi K, Ueha S 1990 J. Acoust. Soc. Am. 87 208 Google Scholar
[21]	王莎, 林书玉 2019 68 024303 Google Scholar Wang S, Lin S Y 2019 Acta Phys. Sin. 68 024303 Google Scholar
[22]	Wang S, Lin S 2019 Ultra. 99 105954 Google Scholar
[23]	赵甜甜, 林书玉, 段祎林 2018 67 224207 Google Scholar Zhao T T, Lin S Y, Duan Y L 2018 Acta Phys. Sin. 67 224207 Google Scholar
[24]	Zhao T T, Lin S Y 2019 Acta Acust. United Acust. 105 953 Google Scholar
[25]	王莎, 林书玉, 段祎林 2018 应用声学 37 811 Google Scholar Wang S, Lin S Y, Duan Y L 2018 Appl. Acoust. 37 811 Google Scholar
[26]	Hu L Q, Wang S, Lin S Y 2022 Chin. Phys. B 31 054302 Google Scholar
[27]	林基艳, 林书玉 2022 陕西师范大学学报(自然科学版) 50 117 Google Scholar Lin J Y, Lin S Y 2022 J. Shaanxi Norm. Uni. (Natural Science Edition) 50 117 Google Scholar
[28]	胡理情, 林书玉 2021 应用声学 40 323 Google Scholar Hu L Q, Lin S Y 2021 Appl. Acoust. 40 323 Google Scholar
[29]	Lin J Y, Lin S Y 2020 Cryst. 10 21 Google Scholar
[30]	林基艳, 林书玉, 王升, 李耀 2021 中国科学: 物理学力学天文学 51 094311 Google Scholar Lin J Y, Lin S Y, Wang S, Li Y 2021 Sci. Sin. Phys. Mech. Astron. 51 094311 Google Scholar
[31]	魏琦, 程营, 刘晓峻 2011 60 124301 Google Scholar Wei Q, Cheng Y, Liu X J 2011 Acta Phys. Sin. 60 124301 Google Scholar
[32]	Mohammadi S, Eftekhar A. A, Khelif A, Hunt W D, Adibi A 2008 Appl. Phys. Lett. 92 221905 Google Scholar
[33]	Wu T T, Huang Z G, Tsai T C, Wu T C 2008 Appl. Phys. Lett. 93 111902 Google Scholar
[34]	Pennec Y, Djafari-Rouhani B, Larabi H, Vasseur J O, Hladky-Hennion A C 2008 Phys. Rev. B 78 104105 Google Scholar
[35]	Pourabolghasem R, Khelif A, Mohammadi S, Eftekhar A A, Adibi A A 2014 J. Appl. Phys. 116 013514 Google Scholar
[36]	舒风风 2016 博士学位论文 (长春: 中国科学院长春光学精密机械与物理研究所) Shu F F 2016 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Precision Mechanics and Physics, Chinese Academy of Sciences) (in Chinese)

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图 1 大尺寸夹心式纵振压电陶瓷超声换能器的结构(a)和振型图(b)

Figure 1. (a) Structure and (b) vibration mode diagram of large-dimension sandwich longitudinal vibration piezoelectric ceramic ultrasonic transducer.

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图 2 纵向位移振幅分布图

Figure 2. Longitudinal displacement amplitude distribution diagram.

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图 3 管柱型近周期声子晶体结构几何模型

Figure 3. Geometric model of tubular near-periodic phononic crystal structure.

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图 4 管柱型近周期声子晶体点缺陷结构的几何模型

Figure 4. Geometric model of point defect structure in tubular near-periodic phononic crystals.

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图 5 管柱型近周期声子晶体点缺陷结构的大尺寸压电超声换能器的前盖板

Figure 5. Front cover plate of large-dimension piezoelectric ultrasonic transducer with tubular near-periodic phononic crystal point defect structure.

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图 6 横向加速度幅频响应曲线

Figure 6. Lateral acceleration amplitude frequency response curve.

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图 7 管柱型近周期声子晶体点缺陷结构的大尺寸压电超声换能器的(a)结构示意图、(b)振型图及(c)辐射面位移分布云图

Figure 7. (a) Structure schematic, (b) vibration modal diagram, and (c) cloud diagram of displacement distribution of radiation surface of large-scale piezoelectric ultrasonic transducers with tubular near-period phononic crystal point defect structure.

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图 8 辐射面纵向位移振幅分布对比图

Figure 8. Comparison diagram of longitudinal displacement amplitude distribution of radiation surface.

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图 9 无管柱结构的换能器示意图

Figure 9. Schematic diagram of transducer without tubular structure.

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图 10 管柱和无管柱结构的发射电压响应曲线

Figure 10. Emission voltage response curves of tubular and non- tubular structures.

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图 11 r₁对换能器性能的影响

Figure 11. Influence of the number of r₁ on the performance of the transducer.

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图 12 r对换能器性能的影响

Figure 12. Influence of the number of r on the performance of the transducer.

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图 13 R对换能器性能的影响

Figure 13. Influence of the number of R on the performance of the transducer.

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图 14 h₂对换能器性能的影响

Figure 14. Influence of the number of h₂ on the performance of the transducer.

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表 1 换能器的结构尺寸和材料属性参数

Table 1. Structural size and material property parameters of the transducer.

部件	材料属性	形状	外/大端半径/mm	内/小端半径/mm	高度/mm
前盖板	Aluminum 6063-T83	圆锥	50	31	35
压电陶瓷片(两片)	PZT-4	等截面圆环	30	7	8
后盖板	Steel AISI 4340	等截面圆柱	31	31	30

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map

[1]	刘晓晗, 黄大鸣, 王兴军, 张春红, 朱海军, 蒋最敏, 王迅 1997 46 200 Google Scholar Liu X H, Huang D M, Wang X J, Zhang C H, Zhu H J, Jiang Z M, Wang X 1997 Acta Phys. Sin. 46 200 Google Scholar
[2]	Sigalas M M, Economou E N 1992 J. Sound Vib. 158 377 Google Scholar
[3]	Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022 Google Scholar
[4]	Adibi A, Lee R K 2002 Elec. Lett. 36 1376 Google Scholar
[5]	Wang Y F, Wang Y S 2013 J. Vib. Acoust. 135 041009 Google Scholar
[6]	Das S, Dwivedi K, Rajasekharan S G, Rao Y 2021 J. Vib. Control 27 827 Google Scholar
[7]	Yang S, Yu W D, Pan N 2011 Physica B 406 963 Google Scholar
[8]	Hsu J C, Wu T T 2006 Phys. Rev. B 74 144303 Google Scholar
[9]	Khelif A, Aoubiza B, Mohammadi S, Adibi A, Laude V 2006 Phys. Rev. E 74 046610 Google Scholar
[10]	Benchabane S, Gaiffe O, Salut R, Ulliac G, Laude V, Kokkonen K 2015 Appl. Phys. Lett. 106 081903 Google Scholar
[11]	Ma T X, Fan Q S, Zhang C, Wang Y S 2021 J. Appl. Phys. 129 145104 Google Scholar
[12]	Wu F, Hou Z, Liu Z, Liu Y 2001 Phys. Lett. A 292 198 Google Scholar
[13]	Miyashita T 2014 Jpn. J. Appl. Phys. 45 4440 Google Scholar
[14]	Li F, Liu J, Wu Y H 2011 J. Appl. Phys. 109 124907 Google Scholar
[15]	Li Y G, Chen T N, Wang X, Ma T, Ping J 2014 J. Appl. Phys. 116 0249041 Google Scholar
[16]	Lin S 2009 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56 1990 Google Scholar
[17]	Lin S 1995 Appl. Acoust. 44 249 Google Scholar
[18]	Ren S C 1983 Acta Acust. 1 152 Google Scholar
[19]	Rani M R, Prakasan K, Rudramoorthy R 2014 Inter. J. Desi. Eng. 5 344 Google Scholar
[20]	Adachi K, Ueha S 1990 J. Acoust. Soc. Am. 87 208 Google Scholar
[21]	王莎, 林书玉 2019 68 024303 Google Scholar Wang S, Lin S Y 2019 Acta Phys. Sin. 68 024303 Google Scholar
[22]	Wang S, Lin S 2019 Ultra. 99 105954 Google Scholar
[23]	赵甜甜, 林书玉, 段祎林 2018 67 224207 Google Scholar Zhao T T, Lin S Y, Duan Y L 2018 Acta Phys. Sin. 67 224207 Google Scholar
[24]	Zhao T T, Lin S Y 2019 Acta Acust. United Acust. 105 953 Google Scholar
[25]	王莎, 林书玉, 段祎林 2018 应用声学 37 811 Google Scholar Wang S, Lin S Y, Duan Y L 2018 Appl. Acoust. 37 811 Google Scholar
[26]	Hu L Q, Wang S, Lin S Y 2022 Chin. Phys. B 31 054302 Google Scholar
[27]	林基艳, 林书玉 2022 陕西师范大学学报(自然科学版) 50 117 Google Scholar Lin J Y, Lin S Y 2022 J. Shaanxi Norm. Uni. (Natural Science Edition) 50 117 Google Scholar
[28]	胡理情, 林书玉 2021 应用声学 40 323 Google Scholar Hu L Q, Lin S Y 2021 Appl. Acoust. 40 323 Google Scholar
[29]	Lin J Y, Lin S Y 2020 Cryst. 10 21 Google Scholar
[30]	林基艳, 林书玉, 王升, 李耀 2021 中国科学: 物理学力学天文学 51 094311 Google Scholar Lin J Y, Lin S Y, Wang S, Li Y 2021 Sci. Sin. Phys. Mech. Astron. 51 094311 Google Scholar
[31]	魏琦, 程营, 刘晓峻 2011 60 124301 Google Scholar Wei Q, Cheng Y, Liu X J 2011 Acta Phys. Sin. 60 124301 Google Scholar
[32]	Mohammadi S, Eftekhar A. A, Khelif A, Hunt W D, Adibi A 2008 Appl. Phys. Lett. 92 221905 Google Scholar
[33]	Wu T T, Huang Z G, Tsai T C, Wu T C 2008 Appl. Phys. Lett. 93 111902 Google Scholar
[34]	Pennec Y, Djafari-Rouhani B, Larabi H, Vasseur J O, Hladky-Hennion A C 2008 Phys. Rev. B 78 104105 Google Scholar
[35]	Pourabolghasem R, Khelif A, Mohammadi S, Eftekhar A A, Adibi A A 2014 J. Appl. Phys. 116 013514 Google Scholar
[36]	舒风风 2016 博士学位论文 (长春: 中国科学院长春光学精密机械与物理研究所) Shu F F 2016 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Precision Mechanics and Physics, Chinese Academy of Sciences) (in Chinese)

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