Excitation Waveform Design for Lamb Wave Pulse Compression

Most ultrasonic guided wave methods focus on tone burst excitation to reduce the effect of dispersion so as to facilitate signal interpretation. However, the resolution of the output cannot attain a very high value because time duration of the excitation waveform cannot be very small. To overcome this limitation, a pulse compression technique is introduced to Lamb wave propagation to achieve a δ-like correlation so as to obtain a high resolution for inspection. Ideal δ-like correlation is impossible as only a finite frequency bandwidth can propagate. The primary purpose of this paper is to design a proper excitation waveform for Lamb wave pulse compression, which shortens the correlation as close as possible to a δ function. To achieve this purpose, the performance of some typical signals is discussed in pulse compression, which include linear chirp (L-Chirp) signal, nonlinear chirp (NLChirp) signal, Barker code (BC), and Golay complementary code (GCC). In addition, how the excitation frequency range influences inspection resolution is investigated. A strategy for the frequency range determination is established subsequently. Finally, an experiment is carried out on an aluminum plate where these typical signals are used as excitations at different frequency ranges. The quantitative comparisons of the pulse compression responses validate the theoretical findings. By utilizing the experimental data, the improvement of pulse compression in resolution compared with tone burst excitation is also validated, and the robustness of the waveform design method to inaccuracies in the dispersion compensation is discussed as well.

[1]  Pietro Burrascano,et al.  Coded waveforms for optimised air-coupled ultrasonic nondestructive evaluation. , 2014, Ultrasonics.

[2]  Victor Giurgiutiu,et al.  Lamb wave generation with piezoelectric wafer active sensors for structural health monitoring , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[3]  S. Quek,et al.  Detection of cracks in plates using piezo-actuated Lamb waves , 2004 .

[4]  L. Liu,et al.  A Linear Mapping Technique for Dispersion Removal of Lamb Waves , 2010 .

[5]  Linas Svilainis,et al.  Subsample interpolation bias error in time of flight estimation by direct correlation in digital domain , 2013 .

[6]  Peter W. Tse,et al.  Evaluation of pipeline defect's characteristic axial length via model-based parameter estimation in ultrasonic guided wave-based inspection , 2011 .

[7]  J. Rose Ultrasonic Waves in Solid Media , 1999 .

[8]  P. Pallav,et al.  Elliptical-Tukey Chirp Signal for High-Resolution, Air-Coupled Ultrasonic Imaging , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[9]  Amir Manbachi,et al.  Slow and fast ultrasonic wave detection improvement in human trabecular bones using Golay code modulation. , 2012, The Journal of the Acoustical Society of America.

[10]  P.D. Wilcox,et al.  A rapid signal processing technique to remove the effect of dispersion from guided wave signals , 2003, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[11]  Che-Chou Shen,et al.  Golay-encoded excitation for dual-frequency harmonic detection of ultrasonic contrast agents , 2011, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[12]  Victor Giurgiutiu,et al.  Single Mode Tuning Effects on Lamb Wave Time Reversal with Piezoelectric Wafer Active Sensors for Structural Health Monitoring , 2007 .

[13]  Joseph L. Rose,et al.  A Baseline and Vision of Ultrasonic Guided Wave Inspection Potential , 2002 .

[14]  Z. Su,et al.  Identification of Damage Using Lamb Waves , 2009 .

[15]  Che-Chou Shen,et al.  Third harmonic transmit phasing for SNR improvement in tissue harmonic imaging with Golay-encoded excitation. , 2011, Ultrasonics.

[16]  X. Jia Modal analysis of Lamb wave generation in elastic plates by liquid wedge transducers , 1997 .

[17]  Sang Jun Lee,et al.  Chirp excitation of ultrasonic guided waves. , 2013, Ultrasonics.

[18]  P. Cawley,et al.  A signal regeneration technique for long-range propagation of dispersive Lamb waves , 1993 .

[19]  T. Kundu,et al.  Efficient use of Lamb modes for detecting defects in large plates , 1998 .

[20]  V. Giurgiutiu Tuned Lamb Wave Excitation and Detection with Piezoelectric Wafer Active Sensors for Structural Health Monitoring , 2005 .

[21]  A. G. Roosenbrand,et al.  The reflection of the fundamental torsional mode from cracks and notches in pipes. , 2003, The Journal of the Acoustical Society of America.

[22]  P. Cawley,et al.  The interaction of Lamb waves with defects , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[23]  Yaguo Lei,et al.  Waveform design for high-resolution damage detection using lamb waves [Correspondence] , 2013, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[24]  Brian Culshaw,et al.  Golay code modulation in low-power laser-ultrasound. , 2013, Ultrasonics.

[25]  Victor Giurgiutiu,et al.  Lamb wave dispersion compensation in piezoelectric wafer active sensor phased-array applications , 2009, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[26]  P. Wilcox,et al.  The effect of dispersion on long range inspection using ultrasonic guided waves , 2001 .

[27]  T. Hayashi,et al.  Pulse Compression Technique Considering Velocity Dispersion of Guided Wave , 2008 .

[28]  Pietro Burrascano,et al.  Pulse-compression ultrasonic technique for the inspection of forged steel with high attenuation , 2012 .

[29]  Takahiro Hayashi,et al.  High S/N Ratio Guided Wave Inspection of Pipe Using Chirp Pulse Compression , 2004 .

[30]  M. O'Donnell,et al.  Coded excitation for synthetic aperture ultrasound imaging , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[31]  Weiqi Wang,et al.  Coded excitation of ultrasonic guided waves in long bone fracture assessment. , 2014, Ultrasonics.

[32]  Marcel J. E. Golay,et al.  Complementary series , 1961, IRE Trans. Inf. Theory.

[33]  P. Wilcox,et al.  Flexible interdigital PVDF transducers for the generation of Lamb waves in structures , 1997 .

[34]  M. Garcia-Rodriguez,et al.  Application of Golay codes to improve the dynamic range in ultrasonic Lamb waves air-coupled systems , 2010 .

[35]  Lin Ye,et al.  Application of Algorithms for Identifying Structural Damage – Case Studies , 2009 .

[36]  D. Schindel,et al.  The use of broadband acoustic transducers and pulse-compression techniques for air-coupled ultrasonic imaging. , 2001, Ultrasonics.

[37]  Luca De Marchi,et al.  A signal processing approach to exploit chirp excitation in Lamb wave defect detection and localization procedures , 2013 .

[38]  Jennifer E. Michaels,et al.  Multi-mode and multi-frequency guided wave imaging via chirp excitations , 2011, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[39]  Tai-Kyong Song,et al.  Coded excitation for ultrasound tissue harmonic imaging. , 2010, Ultrasonics.

[40]  Jin Ho Chang,et al.  Coded tissue harmonic imaging with nonlinear chirp signals. , 2011, Ultrasonics.