x

## 留言板

Lamb wave imaging method based on difference signal in reverse path

## Lamb wave imaging method based on difference signal in reverse path

Jiao Jing-Pin, Li Hai-Ping, He Cun-Fu, Wu Bin, Xue Yan
PDF
HTML
• #### Abstract

The traditional Lamb wave structure health monitoring imaging method based on reference signal is affected by environmental factors such as temperature change. To solve this problem, considering the difference in the scattered fields generated by the interaction between ultrasonic waves and defects in the reverse path, a Lamb wave imaging method is proposed in this paper based on the difference signal of sparse array in inverse path. Numerical simulations are carried out to determine the generation conditions of difference signal in inversion path, and the influences of the angles and distances between the defect and the two sensors on the amplitude of difference signal in inversion path. It is found that the difference signal in reverse path is much more obvious when the defect appears as asymmetric distribution towards the excitation sensor and receiving sensors; the amplitude of difference signal in inverse path is affected by distance difference of the Lamb wave propagating in reverse path and the scattering coefficient of the defect. On this basis, the effectiveness of the Lamb wave imaging method based on the difference signal in inverse path is studied numerically and experimentally. The results show that the Lamb wave imaging method based on the difference signal in inversion path can perfectly eliminate the interference between direct wave and the boundary reflection wave, and the imaging method can detect the defect at different positions in the plate. Moreover, the imaging resolution is higher and the defect location is accurate. The research work provides a new feasible scheme for the extensive health monitoring of plate structure.

#### References

 [1] Abbas M, Shafiee M 2018 Sensors 18 3958 [2] 高广健, 邓明晰, 李明亮, 刘畅 2015 物理学报 64 224301 Gao G J, Deng M X, Li M L, Liu C 2015 Acta Phys. Sin. 64 224301 [3] Kudela P, Radzienski M, Ostachowicz W, Yang Z 2018 Mech. Syst. Signal Proc. 108 21 [4] Chen S J, Zhou S P, Li Y, Xiang Y X, Qi M X 2017 Chin. Phys. Lett. 34 044301 [5] Petrone G 2018 Aerosp. Sci. Technol. 82 304 [6] Munian R K, Mahapatra D R, Gopalakrishnan S 2018 Compos. Struct. 206 484 [7] Mohammadi M, Pouyan A A, Khan N A, Abolghasemi V 2018 Signal Process. 150 85 [8] Kim C Y, Park K J 2015 NDT&E Int. 74 15 [9] Wilcox P D, Lowe M, Cawley P 2003 IEEE Trans. Ultrason. Ferroelectr. 50 419 [10] Xu K, Ta D, Moilanen P, Wang W Q 2012 J. Acoust. Soc. Am. 131 2714 [11] Agrahari J K, Kapuria S 2018 Struct. Control HLTH. 25 e2064 [12] Salmanpour M S, Sharif K Z, Mhf A 2017 Sensors 17 1178 [13] Muller A, Robertson-Welsh B, Gaydecki P, Gresil M, Soutis C 2017 Appl. Compos. Mater. 24 553 [14] Zhao X L, Gao H D, Zhang G F, Ayhan B, Yan F, Kwan C, Rose J L 2007 Smart Mater. Struct. 16 1208 [15] Chen F, Wilcox P D 2007 Ultrasonics 47 111 [16] Douglass A C S, Harley J B 2018 IEEE Trans. Ultrason. Ferroelectr. 65 851 [17] Lu Y, Michaels J E 2009 IEEE Sens. J. 9 1462 [18] Sohn H 2007 Philos. Trans. R. Soc. A:-Math. Phys. 365 539 [19] Clarke T, Cawley P, Wilcox P, Croxford A 2009 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56 2666 [20] Konstantinidis G, Wilcox P D, Drinkwater B W 2007 IEEE Sens. J. 7 905 [21] Park H W, Sohn H, Law K H, Farrar C R 2007 J. Sound Vibr. 302 50 [22] Jan H, Morteza T, Steven D, van Koen D A 2016 Material 9 901 [23] Tabatabaeipour M, Hettler J, Delrue S, van Den Abeele K 2016 NDT&E Int. 80 23 [24] Ciampa F, Pickering S G, Scarselli G, Meo M 2017 Struct. Control HLTH. 24 e1911 [25] Demetgul M, Senyurek V Y, Uyandik R, Tansel I N, Yazicioglu O 2015 Measurement 69 42 [26] Nguyen L T, Kocur G K, Saenger E H 2018 Ultrasonics 90 153 [27] Hongye L, Xin C, Michaels J E, Michaels T E, Cunfu H 2019 Ultrasonics 91 220 [28] Zhang J, Drinkwater B W, Wilcox P D 2008 IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 55 2254 [29] 郑阳, 何存富, 周进节, 张也弛 2013 工程力学 30 236 Zheng Y, He C F, Zhou J J, Zhang Y C 2013 Eng. Mech. 30 236 [30] Harley J B, Moura J M 2013 J. Acoust. Soc. Am. 133 2732 [31] Harley J B, José M F 2014 J. Acoust. Soc. Am. 135 1231 [32] Soleimanpour R, Ng C T 2016 J. Civil Struct. Health Monit. 6 447

#### Cited By

• 图 1  无限大薄板中兰姆波传播模型示意图

Figure 1.  Schematic diagram of Lamb wave propagation model in an infinite plate.

图 2  接收信号模态分析数值仿真模型

Figure 2.  Numerical simulation model of modal analysis of received signals.

图 3  不同位置接收到的z方向的去参考信号

Figure 3.  Dereference signals in the z direction received at different positions.

图 4  不同位置接收到x方向的去参考信号

Figure 4.  Dereference signal in the x direction received at different positions.

图 5  z方向去参考信号的2D-FFT

Figure 5.  2D-FFT of the reference signal in the z direction.

图 6  x方向去参考信号的2D-FFT

Figure 6.  2D-FFT of the reference signal in the x direction.

图 7  影响因素分析数值仿真模型　(a) 双因素综合影响模型; (b) 距离差影响因素模型

Figure 7.  Numerical simulation model of influencing factor analysis: (a) A model of two-factor comprehensive impact; (b) model of distance difference influencing factor.

图 8  l = 0时接收信号及反转路径差信号

Figure 8.  Received signal and reverse path delta signal when l = 0.

图 9  l ≠ 0时接收信号及反转路径差信号

Figure 9.  Received signal and reverse path delta signal when l ≠ 0.

图 10  不同传播距离差下的差信号最大幅值

Figure 10.  Maximum amplitude of the delta signals under different propagation distance differences.

图 11  不同传播距离差下的$\Delta A$计算结果

Figure 11.  Calculation results of $\Delta A$ under different propagation distance differences.

图 12  不同缺陷位置下的差信号幅值

Figure 12.  Amplitude of delta signals at different defect locations.

图 13  圆形通孔缺陷的散射系数

Figure 13.  Scattering coefficient of the circular through hole defect

图 14  不同缺陷位置下的散射系数

Figure 14.  Scattering coefficients at different defect locations.

图 15  不同缺陷位置下的$\Delta A$

Figure 15.  Values of $\Delta A$ at different defect locations.

图 16  板结构稀疏阵列兰姆波检测仿真模型

Figure 16.  Simulation model of lamb waves detection for sparse array of plate structure.

图 17  圆形通孔缺陷成像结果　(a) 序号1 (基于参考信号); (b) 序号2; (c) 序号3; (d) 序号4

Figure 17.  Imaging results of circular through hole defects: (a) Number 1 (based on reference signal); (b) number 2; (c) number 3; (d) number 4.

图 18  矩形缺陷成像结果　(a) 序号; (b) 序号2

Figure 18.  Imaging results of rectangular defect: (a) Number 1; (b) number 2.

图 19  典型传感器对的反转路径差信号及其对成像的贡献　(a) 1号和3号传感器对的反转路径差信号; (b) 1号和3号传感器对的反转路径差信号对成像的贡献; (c) 2号和4号传感器对的反转路径差信号; (d) 2号和4号传感器对的反转路径差信号对成像的贡献

Figure 19.  Inverted path delta signal of a typical sensor pairs and its contribution to imaging: (a) Inverted path delta signal of sensor pairs of number1 and number 3; (b) contribution to imaging of inverted path delta signal of sensor pairs of number1 and number 3; (c) inverted path delta signal of sensor pairs of number 2 and number 4; (d)contribution to imaging of inverted path delta signal of sensor pairs of number 2 and number 4.

图 20  基于反转路径差信号的成像结果

Figure 20.  Imaging results based on the inverted path delta signal.

图 21  实验系统示意图

Figure 21.  Schematic diagram of the experimental system.

图 23  实验成像结果　(a) 4个传感器; (b) 6个传感器

Figure 23.  Imaging results of the experiment: (a) Four sensors; (b) six sensors.

图 22  2号和4号传感器对的接收信号及差信号

Figure 22.  Receiving signals and delta signal for sensor pairs 2 and 4.

•  [1] Abbas M, Shafiee M 2018 Sensors 18 3958 [2] 高广健, 邓明晰, 李明亮, 刘畅 2015 物理学报 64 224301 Gao G J, Deng M X, Li M L, Liu C 2015 Acta Phys. Sin. 64 224301 [3] Kudela P, Radzienski M, Ostachowicz W, Yang Z 2018 Mech. Syst. Signal Proc. 108 21 [4] Chen S J, Zhou S P, Li Y, Xiang Y X, Qi M X 2017 Chin. Phys. Lett. 34 044301 [5] Petrone G 2018 Aerosp. Sci. Technol. 82 304 [6] Munian R K, Mahapatra D R, Gopalakrishnan S 2018 Compos. Struct. 206 484 [7] Mohammadi M, Pouyan A A, Khan N A, Abolghasemi V 2018 Signal Process. 150 85 [8] Kim C Y, Park K J 2015 NDT&E Int. 74 15 [9] Wilcox P D, Lowe M, Cawley P 2003 IEEE Trans. Ultrason. Ferroelectr. 50 419 [10] Xu K, Ta D, Moilanen P, Wang W Q 2012 J. Acoust. Soc. Am. 131 2714 [11] Agrahari J K, Kapuria S 2018 Struct. Control HLTH. 25 e2064 [12] Salmanpour M S, Sharif K Z, Mhf A 2017 Sensors 17 1178 [13] Muller A, Robertson-Welsh B, Gaydecki P, Gresil M, Soutis C 2017 Appl. Compos. Mater. 24 553 [14] Zhao X L, Gao H D, Zhang G F, Ayhan B, Yan F, Kwan C, Rose J L 2007 Smart Mater. Struct. 16 1208 [15] Chen F, Wilcox P D 2007 Ultrasonics 47 111 [16] Douglass A C S, Harley J B 2018 IEEE Trans. Ultrason. Ferroelectr. 65 851 [17] Lu Y, Michaels J E 2009 IEEE Sens. J. 9 1462 [18] Sohn H 2007 Philos. Trans. R. Soc. A:-Math. Phys. 365 539 [19] Clarke T, Cawley P, Wilcox P, Croxford A 2009 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56 2666 [20] Konstantinidis G, Wilcox P D, Drinkwater B W 2007 IEEE Sens. J. 7 905 [21] Park H W, Sohn H, Law K H, Farrar C R 2007 J. Sound Vibr. 302 50 [22] Jan H, Morteza T, Steven D, van Koen D A 2016 Material 9 901 [23] Tabatabaeipour M, Hettler J, Delrue S, van Den Abeele K 2016 NDT&E Int. 80 23 [24] Ciampa F, Pickering S G, Scarselli G, Meo M 2017 Struct. Control HLTH. 24 e1911 [25] Demetgul M, Senyurek V Y, Uyandik R, Tansel I N, Yazicioglu O 2015 Measurement 69 42 [26] Nguyen L T, Kocur G K, Saenger E H 2018 Ultrasonics 90 153 [27] Hongye L, Xin C, Michaels J E, Michaels T E, Cunfu H 2019 Ultrasonics 91 220 [28] Zhang J, Drinkwater B W, Wilcox P D 2008 IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 55 2254 [29] 郑阳, 何存富, 周进节, 张也弛 2013 工程力学 30 236 Zheng Y, He C F, Zhou J J, Zhang Y C 2013 Eng. Mech. 30 236 [30] Harley J B, Moura J M 2013 J. Acoust. Soc. Am. 133 2732 [31] Harley J B, José M F 2014 J. Acoust. Soc. Am. 135 1231 [32] Soleimanpour R, Ng C T 2016 J. Civil Struct. Health Monit. 6 447
•  [1] Chen Qiu-Ju, Jiang Qiu-Xi, Zeng Fang-Ling, Song Chang-Bao. Single frequency spatial power combining using sparse array based on time reversal of electromagnetic wave. Acta Physica Sinica, 2015, 64(20): 204101. doi: 10.7498/aps.64.204101 [2] Chen Xiao, Wang Chen-Long. Noise suppression for Lamb wave signals by Tsallis mode and fractional-order differential. Acta Physica Sinica, 2014, 63(18): 184301. doi: 10.7498/aps.63.184301 [3] Zhang Hai-Yan, Yang Jie, Fan Guo-Peng, Zhu Wen-Fa, Chai Xiao-Dong. Reverse time migration Lamb wave imaging based on mode separation. Acta Physica Sinica, 2017, 66(21): 214301. doi: 10.7498/aps.66.214301 [4] Zhang Hai-Yan, Cao Ya-Ping, Yu Jian-Bo, Chen Xian-Hua. Actuating frequency selection of single mode Lamb waves using single piezoelectric transducer. Acta Physica Sinica, 2011, 60(11): 114301. doi: 10.7498/aps.60.114301 [5] Zhang Hai-Yan, Xu Meng-Yun, Zhang Hui, Zhu Wen-Fa, Chai Xiao-Dong. Full focal imaging of ultrasonic Lamb waves using diffuse field information. Acta Physica Sinica, 2018, 67(22): 224301. doi: 10.7498/aps.67.20181268 [6] Ding Hong-Xing, Shen Zhong-Hua, Li Jia, Zhu Xue-Feng, Ni Xiao-Wu. Large partial band-gaps for Lamb waves in multiple phononic crystals thin plates. Acta Physica Sinica, 2012, 61(19): 196301. doi: 10.7498/aps.61.196301 [7] Ni Long, Chen Xiao. Mode separation for multimode Lamb waves based on dispersion compensation and fractional differential. Acta Physica Sinica, 2018, 67(20): 204301. doi: 10.7498/aps.67.20180561 [8] Hao Wei-Qian, Liang Zhong-Cheng, Liu Xiao-Yao, Zhao Rui, Kong Mei-Mei, Guan Jian-Fei, Zhang Yue. Imaging performance of fractal structuresparse aperture arrays. Acta Physica Sinica, 2019, 68(19): 199501. doi: 10.7498/aps.68.20190818 [9] Wei Wei, Lin Ruo-Bing, Feng Qian, Hao Yue. Current collapse mechanism of field-plated AlGaN/GaN HEMTs. Acta Physica Sinica, 2008, 57(1): 467-471. doi: 10.7498/aps.57.467 [10] Lü Xiao-Gui, Ren Chun-Sheng, Ma Teng-Cai, Zhu Hai-Long, Qian Mu-Yang, Wang De-Zhen. Influence of quartz tube on the nanosecond pulsed discharge in a cone-to-plane air gap. Acta Physica Sinica, 2010, 59(11): 7917-7921. doi: 10.7498/aps.59.7917
•  Citation:
##### Metrics
• Abstract views:  72
• Cited By: 0
##### Publishing process
• Received Date:  19 January 2019
• Accepted Date:  11 April 2019
• Available Online:  16 August 2019
• Published Online:  01 June 2019

## Lamb wave imaging method based on difference signal in reverse path

###### Corresponding author: Jiao Jing-Pin, jiaojp@bjut.edu.cn;
• 1. College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
• 2. PetroChina Natural Gas Pipeline Science Research Institute Corporation Limited, Langfang 065000, China

Abstract: The traditional Lamb wave structure health monitoring imaging method based on reference signal is affected by environmental factors such as temperature change. To solve this problem, considering the difference in the scattered fields generated by the interaction between ultrasonic waves and defects in the reverse path, a Lamb wave imaging method is proposed in this paper based on the difference signal of sparse array in inverse path. Numerical simulations are carried out to determine the generation conditions of difference signal in inversion path, and the influences of the angles and distances between the defect and the two sensors on the amplitude of difference signal in inversion path. It is found that the difference signal in reverse path is much more obvious when the defect appears as asymmetric distribution towards the excitation sensor and receiving sensors; the amplitude of difference signal in inverse path is affected by distance difference of the Lamb wave propagating in reverse path and the scattering coefficient of the defect. On this basis, the effectiveness of the Lamb wave imaging method based on the difference signal in inverse path is studied numerically and experimentally. The results show that the Lamb wave imaging method based on the difference signal in inversion path can perfectly eliminate the interference between direct wave and the boundary reflection wave, and the imaging method can detect the defect at different positions in the plate. Moreover, the imaging resolution is higher and the defect location is accurate. The research work provides a new feasible scheme for the extensive health monitoring of plate structure.

Reference (32)

/