Article Article
Adaptive Algorithm for Estimating and Tracking the Location of Multiple Impacts on a Plate-Like Structure

This paper presents a probabilistic approach to continuously track the sequential movement of the multiple impacts considered as acoustic emission (AE) sources. Continuous wavelet transform (CWT) analysis is used to determine the time of arrival (TOA) of the different AE hits by taking into account systematic errors due to the Heisenberg uncertainty. Then, the Extended Kalman Filter (EKF) is applied to simultaneously estimate the locations of impact points and the group velocity of the involved Lamb waves at a specific frequency. To validate the performance of the proposed probabilistic approach, including uncertainties from modeling error and measurement noise, experiments on a copper panel are performed using AE hits generated by Pencil-Lead Breaks (PLBs). Measurements help appreciate robustness of the proposed approach with consequent potential applications in structural health monitor-ing of industrial parts and structures.


T. Kundu, S. Das, S. A. Martin and K. V. Jata, Ultrasonics. 48 (3), 193–201 (2008). DOI: 10.1016/j.ultras.2007.12.001.

A. Sarrafi and Z. Mao, Proc. Soc. Exp. Mech. Series. 3, 253–262 (2016).

S. Salamone et al., J. Intell. Mater. Syst. Struct. 21, 887–896 (2010). DOI: 10.1177/ 1045389X10368450.

X. Zhang et al., Appl. Acoust. 86,80–88 (2014). DOI: 10.1016/j.apacoust.2014.06.004.

E. DehghanNiri and S. Salamone, Smart Mater. Struct. 21, 035009(16pp) (2012).

F. Ciampa and M. Meo, Smart Mater. Struct. 19, 045027(14pp) (2010). DOI: 10.1088/ 0964-1726/19/4/045027.

A. Tobias, Non Destructive Testing. 9 (1), 9–12 (1976). DOI: 10.1016/0029-1021(76) 90027-X.

L. Gaul and S. Hurlebaus, Mech. Syst. Signal Process. 12 (6), 783–795 (1998). DOI: 10.1006/mssp.1998.0163.

T. Kundu, S. Das, and K. V. Jata, J. Acoust. Soc. Am. 122, 2057–2066 (2007). DOI: 10.1121/1.2775322.

T. Kundu, S. Das, and K. V. Jata, Smart Mater. Struct. 18 (paper035006), 2057–2066 (2009). DOI: 10.1088/0964-1726/18/3/035006.

P. T. Coverley and W. Staszewski, Smart Mater. Struct. 12, 795–803 (2013). DOI: 10.1088/0964-1726/12/5/017.

D. Marioli et al. IMTC-91: Instrumentation and Measurement Technology Conf. Conference Record, Atlanta, GA, USA, 8th IEEE (May): 198–201 (1991).

Y. Lu and J. E. Michaels, Ultrasonics. 43, 717–731 (2005). DOI: 10.1016/j. ultras.2005.05.001.

A. Ebrahimkhanlou and S. Salamone, Smart Mater. Struct. 26, 095026(19pp) (2017). DOI: 10.1088/1361-665X/aa78de.

T. Hajzargerbashi, T. Kundu, and S. Bland, Ultrasonics. 51, 317–324 (2011). DOI: 10.1016/j.ultras.2010.10.005.

Y.-S. Moon et al., J. Intell. Mater. Syst. Struct. 22, 1283–1291 (2011). DOI: 10.1177/ 1045389X11411216.

J. N. Reddy, Theory and Analysis of Elastic Plates (Taylor and Francis, London, 1999).

T. T. Soong, Fandamentals of Probability and Statistics for Engineers (John Wiley&Sons, New York, 2004).

A. Teolis, Computational Signal Processing with Wavelets (BirkhäuserBasel, Boston, 1998).

A. Mostavi et al., Measurement. 106,66–78 (2017). DOI: 10.1016/j.measure-ment.2017.04.013.

S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, London, 1998).

J. Zhang et al., Appl. Acoust. 105,67–74 (2016). DOI: 10.1016/j.apacoust.2015.11.018.

J. Hyunjoand and J. Young-Su, IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 47, 612–620 (2000). DOI: 10.1109/58.842048.

H. Jeong and Y.-S. Jang, IEEE Trans. Ultras. Ferroelectr. Freq. Control. 47 (3), 612–619 (2000). DOI: 10.1109/58.842048.

M. Meo et al., Compos. Struct. 71, 302–306 (2005). DOI: 10.1016/j.compstruct. 2005.09.028.

L. Gaul and S. Hurlebaus, Arch. Appl. Mech. 69, 691–701 (1999). DOI: 10.1007/s004190050251.

H. Kim and H. Melhem, Eng. Struct. 26, 347–362 (2004). DOI: 10.1016/j. engstruct.2003.10.008.

M. Haase and J. Widjajakusuma, Int. J. Eng. Sci. 41, 1423–1443 (2003). DOI: 10.1016/S0020-7225(03)00026-0.

N. C. F. Tse and L. L. Lai. EURASIP J. Adv. Signal Process. 2007, 38916 (2007). DOI: 10.1155/2007/38916.

R. E. Kalman, J. Fluids Eng 82 (1), 35–45 (1960).

D. Simon, Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches.(JohnWiley & Sons, New Jersey, 2006).

P. Norgard, N. Poulsen, and O. Ravn, Automatica. 36 (11), 1627–1638 (2000). DOI: 10.1016/S0005-1098(00)00089-3.

P. J. Shull, Nondestructive Evaluation Theory: Techniques and Applications (Dekker, New York, 2001).

Y. Hayashi et al., NDT E. Int. 32,21–27 (1999). DOI: 10.1016/S0963-8695(98)00029-2.

Usage Shares
Total Views
37 Page Views
Total Shares
0 Tweets
0 PDF Downloads
0 Facebook Shares
Total Usage