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第 42 卷 第 6 期 王晨青等： 压电陶瓷非线性对大功率换能器结构参数匹配影响的计算分析 1147
加激励电压时，应考虑压电陶瓷非线性对结构参数 langevin transducers[J]. IEEE Transactions on Ultrason-
匹配的影响，适当减小结构参数。 ics, Ferroelectrics, and Frequency Control, 2013, 60(6):
1126–1133.
12 [2] Adachi K, Tsuji M, Kato H. Elastic contact problem of the
Linear piezoelectric material in the structure of a bolt-clamped
11 1.0E 0
Langevin-type transducer[J]. The Journal of the Acousti-
1.5E 0 cal Society of America, 1999, 105(3): 1651–1656.
ᮠဋ/kHz 9 [3] Adachi K, Tsuji M, Kato H. Analysis of screw pitch ef-
10
2.0E 0
transducers[J]. The Journal of the Acoustical Society of
8 fects on the performance of bolt-clamped Langevin-type
America, 2004, 116(3): 1544–1548.
7
60 65 70 75 80 85 90 [4] Pérez R, Albareda A. Analysis of nonlinear effects in a
l f ⊳mm piezoelectric resonator[J]. The Journal of the Acoustical
Society of America, 1996, 100(6): 3561–3569.
图 11 电场强度对压电陶瓷处于非线性工作域的换能
[5] Zhang S, Li Y, Li S, et al. Investigation of the nonlinear
器结构参数匹配的影响
phenomena of a Langevin ultrasonic transducer caused by
Fig. 11 Influence of electric field strength on struc- high applied voltage[J]. Proceedings of the Institution of
tural parameter matching of transducer working in Mechanical Engineers, Part C: Journal of Mechanical En-
nonlinear gineering Science, 2021: 095440622110093.
[6] Li X, Stritch T, Manley K, et al. Limits and opportu-
3 结论 nities for miniaturizing ultrasonic surgical devices based
on a langevin transducer[J]. IEEE Transactions on Ultra-
sonics, Ferroelectrics, and Frequency Control, 2021, 68(7):
通过计算分析压电陶瓷处于非线性工作域对 2543–2553.
换能器声辐射性能和参数匹配的影响，得到了一些 [7] Ghasemi N, Zare F, Davari P, et al. Dissimilar trend
对换能器设计有意义的结论，主要结论如下： of nonlinearity in ultrasound transducers and systems at
resonance and non-resonance frequencies[J]. Ultrasonics,
(1) 非线性参数确定的情况下，换能器节面靠
2017, 74: 21–29.
前，前盖板厚度越小，前盖板大径越小，换能器谐振 [8] Andrés R R, Acosta V M, Lucas M, et al. Modal anal-
频率偏移率越小。降低换能器晶堆前向负载，可以 ysis and nonlinear characterization of an airborne power
减小换能器谐振频率偏移率。(2) 对于相同设计频 ultrasonic transducer with rectangular plate radiator[J].
Ultrasonics, 2018, 82: 345–356.
率的换能器，压电陶瓷处于非线性工作域的换能器 [9] Li X, Yao Z, Li R, et al. Dynamics modeling and control
的结构参数应作适当减小以补偿非线性引起频率 of a V-shaped ultrasonic motor with two Langevin-type
偏移；线性换能器结构尺寸越大，非线性工作域换 transducers[J]. Smart Materials and Structures, 2020,
29(2): 025018.
能器需要调整的结构尺寸越大；相较纵向结构参数，
[10] Li X, Yao Z, Mi Y, et al. Modeling, analysis and sup-
径向结构参数需要调整的尺寸较小。(3) 换能器加 pression of current harmonics of Langevin-type ultrasonic
入辐射端匹配后，提高了压电晶堆前向负载阻抗匹 motors under high voltage[J]. Precision Engineering, 2020,
配，可降低换能器谐振频率偏移率。(4) 压电陶瓷处 64: 177–187.
[11] Guyomar D, Aurelle N, Eyraud L. Piezoelectric ceram-
于非线性工作域的换能器激励源电流也会受到非 ics nonlinear behavior. Application to Langevin trans-
线性迟滞的影响，随着非线性α 系数的增大，电流频 ducer[J]. Journal de Physique III, 1997, 7(6): 1197–1208.
率曲线的偏移增大。(5) 激励电场或电压越大，压电 [12] Aurelle N, Guyomar D, Richard C, et al. Nonlinear be-
havior of an ultrasonic transducer[J]. Ultrasonics, 1996,
陶瓷非线性引起的频率漂移越明显。提高大功率换
34(2): 187–191.
能器的激励电压时，应考虑压电陶瓷非线性引起的 [13] Joshi S P. Non-linear constitutive relations for piezoce-
结构参数失配问题，适当减小结构参数。 ramic materials[J]. Smart Materials and Structures, 1992,
1(1): 80–83.
[14] 杜功焕, 朱哲民, 龚秀芬. 声学基础 [M]. 南京: 南京大学出版
社, 2001.
参 考 文 献
[15] Wang C, Zhou W, Ma J. Computational analysis of the in-
fluence of the perforated plate on sandwich transducer in
[1] Mathieson A, Cardoni A, Cerisola N, et al. The influence sound radiation performance[J]. Applied Acoustics, 2021,
of piezoceramic stack location on nonlinear behavior of 184: 108335.
