Page 129 - 《应用声学》2021年第5期
P. 129
第 40 卷 第 5 期 李娟娟: 小样本字典学习的兰姆波模态识别方法 773
tions on Ultrasonics, Ferroelectrics, and Frequency Con-
3 结论 trol, 2014, 61(9): 1515–1524.
[9] Ratassepp M, Fan Z, Lasn K. Wave mode extraction
本文分析了基于小样本字典学习的兰姆波模 from multimodal wave signals in an orthotropic composite
态识别原理和实现流程,将 AAA 板频散特性看作 plate[J]. Ultrasonics, 2016, 71: 223–230.
[10] Alleyne D N, Cawley P. The interaction of Lamb waves
一个线性时不变系统,激励信号作为系统输入,不同
with defects[J]. IEEE Transactions on Ultrasonics Ferro-
模态的兰姆波传播特定距离后得到的信号作为系 electrics & Frequency Control, 1992, 39(3): 381–397.
统输出,建立字典,其中键是模态和距离的组合,值 [11] Gao F, Zeng L, Lin J, et al. Mode separation in frequency-
是走时和小波能量的组合;获取待测兰姆波信号的 wavenumber domain through compressed sensing of far-
field Lamb waves[J]. Measurement Science and Technol-
走时和能量分布,通过查询字典,得到对应的模态和
ogy, 2017, 28(7): 075004.
传播距离,从而识别兰姆波模态,根据能量分布估计 [12] Harley J B, Moura J M F. Broadband localization in a dis-
参数后重构各模态信号。对 AAA 板中传播距离为 persive medium through sparse wavenumber analysis[C]//
0.3 m、0.5 m 的 A 0 、S 0 模态直达波和反射波进行了 IEEE International Conference on Acoustics, Speech &
Signal Processing. IEEE, 2013.
模态识别,识别结果准确,并能够准确地重建各个波 [13] Harley J B. Predictive guided wave models through sparse
包信号,验证了该模态识别方法的可行性。 modal representations[J]. Proceedings of the IEEE, 2016,
104(8): 1604–1619.
致谢 衷心感谢中北大学韩焱教授对我的学术 [14] Xu K, Ta D, Moilanen P, et al. Mode separation of Lamb
指导。 waves based on dispersion compensation method[J]. The
Journal of the Acoustical Society of America, 2012, 131(3):
2714–2722.
[15] Xu Y F, Hu W X. Wideband dispersion removal and mode
参 考 文 献
separation of Lamb waves based on two-component laser
interferometer measurement[J]. Chinese Physics B, 2017,
[1] Niethammer M, Jacobs L J, Qu J, et al. Time-frequency 26(9): 094301.
representation of Lamb waves using the reassigned spec- [16] Minonzio J G, Talmant M, Laugier P. Guided wave phase
trogram[J]. The Journal of the Acoustical Society of velocity measurement using multi-emitter and multi-
America, 2000, 107(5 Pt 1): 19–24. receiver arrays in the axial transmission configuration[J].
[2] Matt H M. Structural diagnostics of CFRP composite air- The Journal of the Acoustical Society of America, 2010,
craft components by ultrasonic guided waves and built-in 127(5): 2913–2919.
piezoelectric transducers[D]. San Diego: University of Cal- [17] 张志勇. 板类结构中 Lamb 波与典型缺陷的交互作用研
ifornia, 2007. 究 [D]. 成都: 电子科技大学, 2018.
[3] Abbate A, Frankel J, Das P. Wavelet transform signal pro- [18] Xu K, Ta D, Wang W. Multiridge-based analysis for sep-
cessing for dispersion analysis of ultrasonic signals[C]// arating individual modes from multimodal guided wave
Ultrasonics Symposium. IEEE, 1995. signals in long bones[J]. Ultrasonics, Ferroelectrics and
[4] Ma D, Shi L H, Cao H F . Combination of wavelet trans- Frequency Control, IEEE Transactions on, 2010, 57(11):
form with EMD to distinguish overlapped Lamb wave 2480–2490.
packets[C]// IEEE International Conference on Electronic [19] Zhao M, Zeng L, Lin J, et al. Mode identification and
Measurement & Instruments, 2013: 187–193. extraction of broadband ultrasonic guided waves[J]. Mea-
[5] Ma D, Shi L H, Fu S C, et al. Localization of Lamb wave surement Science & Technology, 2014, 25(11): 115005.
scattering source based on time-frequency analysis[J]. Ap- [20] 练秋生, 石保顺, 陈书贞. 字典学习模型、算法及其应用研究进
plied Mechanics and Materials, 2013, 281: 276–281. 展 [J]. 自动化学报, 2015, 41(2): 240–260.
[6] Zoubi A B, Kim S, Adams D O, et al. Lamb wave Lian Qiusheng, Shi Baoshun, Chen Shuzhen. Research
mode decomposition based on cross-Wigner-Ville distribu- advances on dictionary learning models, algorithms and
tion and its application to anomaly imaging for structural applications[J]. Acta Automatica Sinica, 2015, 41(2):
health monitoring[J]. IEEE Transactions on Ultrasonics 240–260.
Ferroelectrics & Frequency Control, 2019, 66(5): 984–997. [21] 李娟娟. 复合层叠结构兰姆波检测方法研究 [D]. 太原: 中北
[7] Niethammer M, Jacobs L J, Qu J, et al. Time-frequency 大学, 2020.
representations of Lamb waves[J]. The Journal of the [22] 田光春. 层状板中 Lamb 波传播特性研究及其检测信号分
Acoustical Society of America, 2001, 109(5 Pt 1): 1841– 析 [D]. 上海: 同济大学, 2002.
1847. [23] Hinders M K, Hou J, Leonard K R. Automatic multi-
[8] Fateri S, Boulgouris N V, Wilkinson A, et al. Frequency- mode Lamb wave arrival time extraction for improved
sweep examination for wave mode identification in mul- tomographic reconstruction[C]// American Institute of
timodal ultrasonic guided wave signal[J]. IEEE Transac- Physics, 2005.