Comparative Study of Instantaneous Frequency Extraction in Nonlinear Acoustics Used for Structural Damage Detection

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Nonlinear acoustics deals with various nonlinear effects that occur in ultrasonic wave propagation. The method is suitable for material characterisation, as it uses different nonlinear phenomena associated with material imperfections. The method has been used for detecting nonlinearities in cracked solids by: measuring distortions of acoustic signals, estimating resonance frequency shifts or assessing nonlinear vibro-acosutic modulations. The latter is the most widely used non-classical approach to probe material nonlinearities. The method involves vibro-acoustic interactions of ultrasonic wave and modal vibration in damaged specimens. Modulation intensity that strongly relates to damage severity - is usually assessed in the frequency domain and often leads to confusing results when large modulations are involved. The paper investigates the time domain analysis of vibro-acoustic modulated signals. Several methods for instantaneous frequency calculation used to assess the intensity of modulation - are compared. Simulated and experimental data are used in these investigations.

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33-42

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October 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] K. E.-A. Van Den Abeele, P. A. Johnson, A. Sutin, Non-Linear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part I: Non-Linear Wave Modulation Spectroscopy (NWMS), Res. Nondestr. Eval.. 12 (2000) 17-30

DOI: 10.1007/s001640000002

Google Scholar

[2] K.-Y. Jhang, Nonlinear Ultrasonic Techniques for Nondestructive Assessment of Micro Damage in Material: A Review, Int. J. Prec. Eng. Manuf. 10 (2009) 123-135

DOI: 10.1007/s12541-009-0019-y

Google Scholar

[3] O. Buck, W. L. Morris, J. M. Richardson, Acoustic Harmonic Generation at Unbonded Interfaces and Fatigue Cracks, Appl. Phys. Lett. 33 (1978) 371-373

DOI: 10.1063/1.90399

Google Scholar

[4] P. Duffor, M. Morbidini, P. Cawley, A study of the vibro-acoustic modulation technique for the detection of cracks in metals, J. Acoust. Soc. Am., 119 (2006) 1463-1475

DOI: 10.1121/1.2161429

Google Scholar

[5] A. M. Sutin, V. E. Nazarov, Nonlinear Acoustic Methods of Crack Diagnostics, Radiographics and Quantum Electronics, 38 (1995) 109-120

DOI: 10.1007/bf01037881

Google Scholar

[6] H. F. Hu, W. J. Staszewski, N. Q. Hu, R. B. Jenal, G. J. Qin, Crack detection using nonlinear acoustic and piezoceramic transducers – instantaneous amplitude and frequency analysis, Smart Mater. Struct. 19 (2010) 1-10

DOI: 10.1088/0964-1726/19/6/065017

Google Scholar

[7] F. Aymerich, W. J. Staszewski, Experimental study of impact-damage detection in composite laminates using a cross-modulation vibro-acoustic technique, Struct. Health Monit. 9 (2010) 541-553

DOI: 10.1177/1475921710365433

Google Scholar

[8] H.-C. Wu and K. Waenemuende, Mechanism Aspects of Non-linear Acoustic Signal Modulation due to Crack Damage, in T. Kundu, Advanced Ultrasonic Methods for Material and Structure Inspection, ISTE, London, 2010, pp.273-317

DOI: 10.1002/9780470612248.ch8

Google Scholar

[9] K. Haller, Nonlinear acoustics applied to nondestructive testing, Printfabriken, Karlskrona, (2007)

Google Scholar

[10] R. Carmona, W.-L. Hwang, B. Torresani, Practical Time-Frequency Analysis Gabor and Wavelet Transforms with an Implementation in S, Academic Press, New York, (1998)

Google Scholar

[11] L. Cohen, Time-Frequency Analysis, Prentice Hall, Jew Jersey, (1995)

Google Scholar

[12] B. Boashash, Time Frequency Signal Analysis and Processing A Comprehensive Reference, first ed., Elsevier Ltd., (2003)

Google Scholar

[13] F. Hlawatsh, F. Auger, Time-Frequency Analysis: Concepts and methods, ISTE Ltd., (2008)

Google Scholar

[14] N. E. Huang, W. Zhaohua, S. R. Long, K. C. Arnold, X. Chen, K. Blank, On Instantaneous Frequency, Adv. Adapt. Data Anal. 1 (2009) 177-229

DOI: 10.1142/s1793536909000096

Google Scholar

[15] E. Kvedalen, Signal processing using the Teager Energy Operator and other nonlinear operators, Cand. Scient Thesis, University of Oslo, 2003 (http://folk.uio.no/eivindkv/ek-thesis-2003-05-12-final-2.pdf)

Google Scholar

[16] M. F. Ghazadi, et al., Comparative study of instantaneous frequency based methods for leak detection in pipeline networks, Mech. Syst. Signal Process. (2011)

DOI: 10.1016/j.ymssp.2011.10.011

Google Scholar

[17] M. Fieldman, Hilbert transform applications in mechanical vibration, first ed., John Wiley & Sons, (2011)

Google Scholar

[18] G. Rilling, P. Flandrin, P. Goncalves, On Empirical Mode Decomposition and its algoritms, in Proceedings of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing/NSIP-03, Grado, Italy (2003)

Google Scholar

[19] N. E. Huang, An adaptive data analysis method for nonlinear and nonstationary time series: the Empirical Mode Decomposition and Hilbert Spectral Analysis, in T. Qian, M. I. Vai, Y. Xu (Eds.), Wavelet analysis and applications, Birkhäuser Basel, Berlin, 2007, pp.363-376

DOI: 10.1007/978-3-7643-7778-6_25

Google Scholar

[20] D. Donnelly, The Fast Fourier and Hilbert-Huang Transforms: A Comparison, Int. J. of Computers, Communications & Control 4 (2006) 45-52

DOI: 10.15837/ijccc.2006.4.2305

Google Scholar

[21] N. E. Huang, Introduction to Hilbert-Huang transform and its related mathematical problems, in Ed. N. E. Huang, S. S. P. Shen (Eds.), The Hilbert-Huang transform and its applications, World Scientific Publishing Company, Singapore, 2005, pp.1-26

DOI: 10.1142/9789812703347_0001

Google Scholar

[22] Y. Chen, M. Q. Feng, A technique to improve the empirical mode decomposition in the Hilbert-Huang transform, Earthq. Eng. Eng. Vib. 2 (2003) 75-85

DOI: 10.1007/bf02857540

Google Scholar