Lamb Modes Detection Using Cumulative Shannon Entropy with Improved Estimation of Arrival Time
Source abstract
Abstract
Non-destructive testing techniques for damage localization constitute a key aspect of structural health monitoring (SHM) systems. The acoustic emission (AE) method can be used for SHM and its location capability is considered as one of the most powerful qualities. This paper presents a novel method for distinguishing between AE transient and noise signals and this proposes a very promising procedure to detect the Lamb modes of AE signals, which provides an improvement in the localization of AE sources. The AE signals were generated on an aluminium flat bar and a plate using the normalised Hsu-Nielsen source. For a successful localisation of the AE sources, both the noise signal discrimination and detection of the beginning of the signal are crucial. The source locations were determined using the conventional Time of Arrival technique and a novel approach based on Shannon entropy of each AE signal. A sharp and substantial change in the cumulative Shannon entropy (CSE) at the instant of arrival of the A0 and S0 Lamb modes was observed. In addition, a comparison of the results using the first Threshold crossing and CSE of the AE signals illustrated that the new proposed method detects more accurately the location of AE sources and reduces the ambiguity introduced by arrival times of noisy signals in both studied specimens.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Geophysical Methods and Applications · Structural Health Monitoring Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (57)
Show source-provided references
1. Gopalakrishnan, S., Ruzzene, M., Hanagud, S.: Computational techniques for structural health monitoring. Springer, London (2013)
2. Laodeno, R.N., Yoshida, K.: Non-destructive testing technique. LAP Lambert Academic Publishing, Saarbrücken (2013)
3. Fang, Y., Wen, L., Tee, K.F.: Reliability analysis of repairable k-out-of-n system from time response under several times stochastic shocks. Smart Struct. Syst. 14(4), 559–567 (2014)10.12989/sss.2014.14.4.559 ↗
4. Tee, K.F., Cai, Y., Chen, H.P.: Structural damage detection using quantile regression. J. Civil Struct. Health Monit. 3(1), 19–31 (2013)10.1007/s13349-012-0030-3 ↗
5. Klepka, A., Staszewski, W.J., DiMaio, D., Scarpa, F., Tee, K.F., Uhl, T.: Sensor location analysis in nonlinear acoustics used for damage detection in composite chiral sandwich panels. Adv. Sci. Technol. 83, 223–231 (2013)10.4028/www.scientific.net/AST.83.223 ↗
6. Hardy, JR.: Acoustic emission, microseismic activity. Principles, techniques, and geotechnical application, 1, 292. A.A. Balkena Publ. USA (2003)10.1201/9780203971109 ↗
7. Jenal, R.B., Staszewski, W.J.; Scarpa, F.; Tee, K.F. Damage detection in smart chiral sandwich structures using nonlinear acoustics. In: Proceedings of the 20th International Conference on Adaptive Structures and Technologies, Hong Kong, China, 20–22 October, 2009.
8. Klepka, A., Staszewski, W.J., Uhl, T., DiMaio, D., Scarpa, F., Tee, K.F.: Impact damage detection in composite chiral sandwich panels. Key Eng. Mater. 518, 160–167 (2012)10.4028/www.scientific.net/KEM.518.160 ↗
9. Miller, K.R., Hill, E.K.: Non-Destructive Testing Handbook, Acoustic Emission Testing. American Society for Non-Destructive Testing, Columbus (2005)
10. Sagasta, F., Benavent-Climent, A., Fernández-Quirante, T., Gallego, A.: Modified Gutenberg-Richter coefficient for damage evaluation in reinforced concrete structures subjected to seismic simulations on a shaking table. J. Nondestr. Eval. 33(4), 616–631 (2014)10.1007/s10921-014-0256-6 ↗
11. Wevers, M., Lambrighs, K.: Applications of acoustic emission for SHM: a review. Encyclopedia of structural health monitoring. Wiley, New York (2009)
12. Wevers, M.: Listening to the sound of materials: acoustic emission for the analysis of material behavior. NDT&E Int. 30, 99–106 (1997)10.1016/S0963-8695(96)00051-5 ↗
13. Flynn, E.B., Todd, M.D., Wilcox, P.D., Drinkwater, B.W., Croxford, A.J.: Maximum-likelihood estimation of damage location in guided-wave structural health monitoring. Proc. R. Soc. A 467, 2575–2596 (2011)10.1098/rspa.2011.0095 ↗
14. Courtier, M.R., Croxford, A.J., Atherton, K.: Guided wave propagation modelling to aid understanding of acoustic emission system performance on complex aerospace structures, 8th European workshop on structural health monitoring (EWSHM 2016), 5–8 July 2016, Spain, Bilbao
15. Al-Jumaili, S.K.H., Pearson, M.R., Holford, K.M., Eaton, M.J., Pullin, R.: Acoustic emission source location in complex structures using full automatic delta T mapping technique. Mech. Syst. Signal Process. 72–73, 513–524 (2016)10.1016/j.ymssp.2015.11.026 ↗
16. Sedlak, P., Hirose, Y., Enoki, M.: Acoustic emission localization in thin multi-layer plates using first-arrival determination. Mech. Syst. Signal Process. 36, 636–649 (2013)10.1016/j.ymssp.2012.11.008 ↗
17. Allen, R.: Automatic phase pickers: their present use and future prospects. Bull. Seismol. Soc. Am. 72, 225–242 (1982)10.1785/BSSA07206B0225 ↗
18. Hensman, J., Pullin, R., Eaton, M., Worden, K., Holford, K.M., Evans, S.L.: Detecting and identifying artificial acoustic emission signals in an industrial fatigue environment. Meas. Sci. Technol. 20(4), 045101 (2009)10.1088/0957-0233/20/4/045101 ↗
19. Eaton, M.J., Pullin, R., Holford, K.M.: (1) Towards improved damage location using acoustic emission. Proc. IMechE Part C: J. Mech. Eng. Sci. 226(9), 2141–2153 (2012)10.1177/0954406212449582 ↗
20. Eaton, M.J., Pullin, R., Holford, K.M.: (2) Acoustic emission source location in composite materials using Delta T Mapping. Compos. Part A: Appl. Sci. Manuf. 43, 856–863 (2012)10.1016/j.compositesa.2012.01.023 ↗
21. Dehghan, N.E., Farhidzadeh, A., Salamone, S.: Determination of the probability zone for acoustic emission source location in cylindrical shell structures. Mech. Syst. Signal Process. 60–61, 971–985 (2015)10.1016/j.ymssp.2015.02.004 ↗
22. Dai, H., MacBeth, C.: Automatic picking of seismic arrivals in local earthquake data using an artificial neural network. Geophys. J. Int. 120, 758–774 (1995)10.1111/j.1365-246X.1995.tb01851.x ↗
23. Maeda, N.: A method for reading and checking phase times in auto-processing system of seismic wave data. Zisin1⁄4Jishin 38, 365–379 (1985)
24. Sedlak, P., Hirose, Y., Khan, S.A., Enoki, M., Sikula, J.: New automatic localization technique of acoustic emission signals in thin metal plates. Ultrasonics 49, 254–262 (2009)10.1016/j.ultras.2008.09.005 ↗
25. Ziola, S.M., Gorman, M.R.: Source location in thin plates using cross-correlation. J. Acoust. Soc. Am. 90, 2551–2556 (1991)10.1121/1.402348 ↗
26. Jiao, J., He, C., Wu, B., Fei, R., Wang, X.: Application of wavelet transform on modal acoustic emission source location in thin plates with one sensor. Int. J. Press. Vessel. Pip. 81, 427–431 (2004)10.1016/j.ijpvp.2004.03.009 ↗
27. Kundu, T., Yang, X., Nakatani, H., Takeda, N.: A two-step hybrid technique for accurately localizing acoustic source in anisotropic structures without knowing their material properties. Ultrasonics 56, 271–278 (2015)10.1016/j.ultras.2014.08.009 ↗
28. Tsaugouri, E., Aggelis, D.G.: The influence of sensor size on acoustic emission waveforms—a numerical study. Appl. Sci. 8, 168 (2018). https://doi.org/10.3390/app802016810.3390/app8020168 ↗
29. Suarez, E., Roldán, A., Gallego, A., Benavent-Climent, A.: Entropy analysis for damage quantification of hysteretic dampers used as seismic protection of buildings. Appl. Sci. 7, 628 (2017)10.3390/app7060628 ↗
30. Gary, J., Hamstad, M.A.: On the far-field structure of waves generated by a pencil lead break on a thin plate. J. Acoust. Emiss. 12, 157–170 (1994)
31. Prosser, W.H., Hamstad, M.A., Gary, J., Gallagher, A.O.: Finite element and plate theory modeling of acoustic emission waveforms. J. Nondestr. Eval. 18, 83–90 (1999)10.1023/A:1021888009896 ↗
32. Chen, J., Li, G.: Wavelet entropy and its application in power signal analysis. Entropy 16, 3009–3025 (2014). https://doi.org/10.3390/e1606300910.3390/e16063009 ↗
33. Martin, N.F.G., England, J.W.: Mathematical Theory of Entropy. Cambridge University Press, Cambridge (2011)
34. Baez, J.C., Fritz, T., Leinster, T.: A characterization of entropy in terms of information loss. Entropy 13, 1945–1957 (2011)10.3390/e13111945 ↗
35. Hnizdo, V., Gilson, M.K.: Thermodynamic and differential entropy under a change of variables. Entropy 12, 578–590 (2010). https://doi.org/10.3390/e1203057810.3390/e12030578 ↗
36. Li, Z., Li, W., Liu, R.: Applications of entropy principles in power systems: A survey. In: IEEE/PES Transmission and Distribution Conference & Exhibition: Asia and Pacific, Dalian, China, pp. 1–4 (2005).
37. Tsallis, C.: Thermostatistically approaching living systems: Boltzmann-Gibbs or nonextensive statistical mechanics. Phys. Life Rev. 3(1), 1–22 (2006)10.1016/j.plrev.2005.11.001 ↗
38. Castro, E., Moreno-García, P., Gallego, A.: Damage detection in CFRP plates using spectral entropy. Shock Vib. ID 693593 (2014)10.1155/2014/693593 ↗
39. González de la Rosa, J.J., Agüera Pérez, A., Palomares Salas, J.C., Sierra Fernández, J.M.: A novel measurement method for transient detection based in wavelets entropy and the spectral kurtosis: an application to vibrations and acoustic emission signals from termite activity. Measurement 68, 58–69 (2015)10.1016/j.measurement.2015.02.044 ↗
40. Piotrkowski, R., Castro, E., Gallego, A.: Wavelet power, entropy and bispectrum applied to AE signals for damage identification and evaluation of corroded galvanized steel. Mech. Syst. Signal Process. 23, 432–445 (2009)10.1016/j.ymssp.2008.05.006 ↗
41. El-Zonkoly, A.M., Desouki, H.: Wavelet entropy based algorithm for fault detection and classification in FACTS compensated transmission line. Electr. Power Energy Syst. 33, 1368–1374 (2011)10.1016/j.ijepes.2011.06.014 ↗
42. Jayasree, T., Devaraj, D., Sukanesh, R.: Classification of transients using wavelet based entropy and radial basis neural networks. Int. J. Comput. Electr. Eng. 1(5), 1793–8163 (2009)
43. Baxter, M.G., Pullin, R., Holford, K.M., Evans, S.L.: Delta T source location for acoustic emission. Mech. Syst. Signal Process. 21, 1512–1522 (2007)10.1016/j.ymssp.2006.05.003 ↗
44. Gallego, A., Martinez, E.: Emisión acústica. Niveles 1 y 2. AEND, Madrid (2015)
45. Rindorf, H.J.: Acoustic emission source location in theory and in practice. Bruel Kjaer Techn Rev 2, 3–44 (1981)
46. Gupta, A., Duke, J.C.: Identifying the arrival of extensional and flexural wave modes using wavelet decomposition of ultrasonic signals. Ultrasonics 82, 261–271 (2018)10.1016/j.ultras.2017.09.008 ↗
47. Stepanova, L.N., Ramazanov, I.S., Kanifadin, K.V.: Estimation of time-of-arrival errors of acoustic-emission signals by the Threshold method. Russ. J. Nondestr. Test. 45(4), 273–279 (2009)10.1134/S1061830909040081 ↗
48. Andria, G., Attivissimo, F., Giaquinto, N.: Digital signal processing techniques for accurate ultrasonic sensor measurement. Measurement 30, 105–114 (2001)10.1016/S0263-2241(00)00059-2 ↗
49. Lokajıcek, T., Klıma, K.: A first arrival identification system of acoustic emission signals by means of a high-order statistics approach. Meas. Sci. Technol. 17, 2461–2466 (2006)10.1088/0957-0233/17/9/013 ↗
50. Physical Acoustics Corporations: In: DiSP with AEWin user’s manual. Princeton Junction, Princeton (2004)
51. Grosse, C.U., Ohtsu, M.: Acoustic emission testing. Springer, Berlin (2008)10.1007/978-3-540-69972-9 ↗
52. Mártinez-Jequier, J., Gallego, A., Suárez, E., Juanes, F.J., Valea, A.: Real-time damage mechanisms assessment in CFRP samples via acoustic emission Lamb wave modal analysis. Compos Part B 68, 317–326 (2015)10.1016/j.compositesb.2014.09.002 ↗
53. Theobald, P., Zeqiri, B., Avison, J.: Couplants and their influence on AE sensor sensitivity. J. Acoust. Emiss. 26, 91–97 (2008)
54. ASTM: Standard guide for determining the reproducibility of acoustic emission sensor response, American Society for Testing and Materials, Vol. 976 (1994)
55. Hsu, N.N., Brecknbridge, F.R.: Characterization and calibration of acoustic emission sensors. Mater. Eval. 39, 60–68 (1979)
56. Nielsen, A.: Acoustic Emission Source Based on Pencil Lead Breaking, Vol. 15. The Danish Welding Institute Publication, 80, 1–15 (1980)
57. Suárez, E., Medida de ondas de Lamb en placas de material compuesto de fibra de carbono Master Thesis Project, University of Granada, Spain.