Acknowledgement
Supported by : Texas Instruments
References
- Alleyne, D.N., Lowe, M.J.S. and Cawley, P. (1998), "The reflection of guided waves from circumferential notches in pipes", J. Appl. Mech., 65(3), 635-641. https://doi.org/10.1115/1.2789105
- Baraniuk, R.G. (2007), "Compressive sensing", IEEE Sign. Proc. Mag., 24(4), 118-120, 124. https://doi.org/10.1109/MSP.2007.4286571
- Boller, C. (2000), "Next generation structural health monitoring and its integration into aircraft design", J. Syst. Sci., 31(11), 1333-1349. https://doi.org/10.1080/00207720050197730
-
Candes, E. and Romberg, J. (2005),
${\ell}_1$ MAGIC: Recovery of Sparse Signals via Convex Programming, Technical Report, Caltech, California, U.S.A. - Chakraborty, A. and Gopalakrishnan, S. (2006), "A spectral finite element model for wave propagation analysis in laminated composite plate", J. Vibr. Acoust., 128(4), 477-488. https://doi.org/10.1115/1.2203338
- Demma, A., Cawley, P., Lowe, M.J.S., Roosenbrand, A.G. and Pavlakovic, B. (2004), "The reflection of guided waves from notches in pipes: A guide for interpreting corrosion measurements", NDT E Int., 37(3), 167-180. https://doi.org/10.1016/j.ndteint.2003.09.004
- Doyle, J.F. (1997), Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms, Springer.
- Eybpoosh, M., Berges, M. and Noh, H.Y. (2016), "Sparse representation of ultrasonic guided-waves for robust damage detection in pipelines under varying environmental and operational conditions", Struct. Contr. Health Monitor., 23(2), 369-391. https://doi.org/10.1002/stc.1776
- Farrar, C.R., Doebling, S.W. and Nix, D.A. (2001), "Vibration based structural damage identification", Philosoph. Transac. Roy. Soc. A, 359, 131-149. https://doi.org/10.1098/rsta.2000.0717
- Farrar, C.R. and Worden, K. (2007), "An introduction to structural health monitoring", Philosoph. Transac. Roy. Soc. A, 365, 303-315. https://doi.org/10.1098/rsta.2006.1928
- Giurgiutiu, V. (2008), Structural Health Monitoring: with Piezoelectric Wafer Active Sensors, Academic Press.
- Gopalakrishnan, S., Martin, M. and Doyle, J.F. (1992), "A matrix methodology for spectral analysis of wave propagation in multiple connected Timoshenko beams", J. Sound Vibr., 158(1), 11-24. https://doi.org/10.1016/0022-460X(92)90660-P
- Gopalakrishnan, S. and Doyle, J.F. (1995), "Spectral super-elements for wave propagation in structures with local non-uniformities", Comput. Meth. Appl. Mech. Eng., 121(1-4), 77-90. https://doi.org/10.1016/0045-7825(94)00686-H
- Gopalakrishnan, S., Chakraborty, A. and Mahapatra, D.R. (2007), Spectral Finite Element Method: Wave Propagation Diagnostics and Control in Anisotropic and Inhomogenous Structures, Academic Press.
- Gopalakrishnan, S. (2009), Modeling Aspects in Finite Elements", Encyclopedia of Structural Health Monitoring, John Wiley and Sons.
- Gopalakrishnan, S. and Mitra, M. (2010), Wavelet Methods for Dynamical Problems: With Applications to Metallic, Composite and Nano-Composite Structures, CRC Press.
- Graff, K.F. (1991), Wave Motion in Elastic Solids, Dover Publications.
- Hastie, T., Tibshirani, R. and Friedman, J. (2009), The Elements of Statistical Learning: Data Mining, Inference and Prediction, Springer.
-
Hernandez, E.M. (2014), "Identification of isolated structural damage from incomplete spectrum information using
${\ell}_1$ -norm minimization", Mech. Syst. Sign. Proc., 46, 59-69. https://doi.org/10.1016/j.ymssp.2013.12.009 - Hu, N., H Fukunaga, H., Kameyama, M., Mahapatra, D.R. and Gopalakrishnan, S. (2007), "Analysis of wave propagation in beams with transverse and lateral cracks using a weakly formulated spectral method", ASME J. Appl. Mech., 74(1), 119-127. https://doi.org/10.1115/1.2188015
- Igawa, H., Komatsu, K., Yamaguchi, I. and Kasai, T. (2004), "Wave propagation analysis of frame structures using the spectral element method", J. Sound Vibr., 277, 1071-1081. https://doi.org/10.1016/j.jsv.2003.11.026
- Kandel, B.M., Wolk, D.A., Gee, J.C. and Avants, B. (2013), textitPredicting Cognitive Data from Medical Images Using Sparse Linear Regression, Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, Germany, 7197.
-
Kim, S.J., Koh, K., Lustig, M., Boyd, S. and Gorinevsky, D. (2007), "A method for large-scale
${\ell}_1$ -regularized least squares", IEEE J. Select. Top. Sign. Proc., 1(4), 606-617. https://doi.org/10.1109/JSTSP.2007.910971 - Kumar, D.S., Chakraborty, A. and Gopalakrishnan, S. (2004), "A spectral finite element for wave propagation and structural diagnostic analysis of composite beam with transverse crack", Fin. Elem. Analy. Des., 40(13-14), 1729-1751. https://doi.org/10.1016/j.finel.2004.01.001
- Levine, R.M. and Michaels, J.E. (2013), "Model-based imaging of damage with Lamb waves via sparse reconstruction", J. Acoust. Soc. Am., 133(3), 1525-1534. https://doi.org/10.1121/1.4788984
- Liu, Z. and Kleiner, Y. (2012), "State-of-the-Art Review of Technologies for Pipe Structural Health Monitoring", IEEE Sens. J., 12(6), 1987-1992. https://doi.org/10.1109/JSEN.2011.2181161
- Liu, C., Harley, J.B., Berges, M., Greve, D.W. and Oppenheim, I.J. (2015), "Robust ultrasonic damage detection under complex environmental conditions using singular value decomposition", Ultrason., 58, 75-86. https://doi.org/10.1016/j.ultras.2014.12.005
- Lowe, M.J.S., Alleyne, D.N. and Cawley, P. (1998), "Defect detection in pipes using guided waves", Ultrason., 36(1-5), 147-154. https://doi.org/10.1016/S0041-624X(97)00038-3
- Lu, Y., Ye, L., Su, Z., Zhou, L. and Cheng, L. (2007), "Artificial neural network (ANN)-based crack identification in aluminum plates with lamb wave signals", J. Intell. Mater. Syst. Struct., 20, 39-49.
- Lu, Y.and Michaels, J.E. (2008), "Numerical implementation of matching pursuit for the analysis of complex ultrasonic signals", IEEE Trans. Ultrason. Ferroelectr. Freq. Contr., 55(1), 173-182. https://doi.org/10.1109/TUFFC.2008.626
- Murthy, M.V.V.S., Gopalakrishnan, S. and Nair, P.S. (2011), "Signal wrap-around free spectral element formulation for multiply connected finite 1-D waveguides", J. Aerosp. Sci. Technol., 63(1), 72-88.
- Na, W.B. and Kundu, T. (2002), "Underwater pipeline inspection using guided waves", Trans. ASME, 124, 196-200. https://doi.org/10.1115/1.1398292
- Nagarajaiah, S. and Yang, Y. (2017), "Modeling and harnessing sparse and low-rank data structure: A new paradigm for structural dynamics, identification, damage detection, and health monitoring", Struct. Contr. Health Monitor., 24(1), e1851. https://doi.org/10.1002/stc.1851
- Ostachowicz, W., Kudela, P., Krawczuk, M. and Zak, A. (2012), Guided Waves in Structures for SHM: The Time-Domain Spectral Element Method, Dover Publications.
- Ou, J. and Li, H. (2010), "Structural health monitoring in mainland China: Review and future trends", Struct. Health Monitor., 9(3), 219-241. https://doi.org/10.1177/1475921710365269
- Packo, P., Bielak, T., Spencer, A.B., Staszewski, W.J., Uhl, T. and Worden, K. (2012), "Lamb wave propagation modelling and simulation using parallel processing architecture and graphical cards", Smart Mater. Struct., 21, 13.
- Park, M.H., Kim, I.S. and Yoon, Y.K. (1996), "Ultrasonic inspection of long steel pipes using lamb waves", NDT E Int., 29(1), 13-20. https://doi.org/10.1016/0963-8695(95)00030-5
- Patera, A.T. (1984), "A spectral element method for fluid dynamics: Laminar flow in a channel expansion", J. Comput. Phys., 54, 468-488. https://doi.org/10.1016/0021-9991(84)90128-1
- Raghavan, A. and Cesnik, C.E.S (2007), "Review of guided-wave structural health monitoring", Shock Vibr. Dig., 39(2), 91-114. https://doi.org/10.1177/0583102406075428
- Rose, J.L. (1999), Ultrasonic Waves in Solid Media, Cambridge University Press.
- Rose, J.L. (2004), "Ultrasonic Guided Waves in Structural Health Monitoring", Key Eng. Mater., 270-273, 14-21. https://doi.org/10.4028/www.scientific.net/KEM.270-273.14
- Rytter, A. (1993), "Vibration based inspection of civil engineering structures", Ph.D. Dissertation, Aolborg University, Denmark.
- Tibaduiza, D.A., Torres-Arredondo, M.A., MUjica, L.E., Rodellar, J. and Fritzen, C.P. (2013), "A study of two unsupervised data driven statistical methodologies for detecting and classifying damages in structural health monitoring", Mech. Syst. Sign. Proc., 41(1-2), 467-484. https://doi.org/10.1016/j.ymssp.2013.05.020
- Tibshirani, R. (1996), "Regression shrinkage and selection via the LASSO", J. Roy. Stat. Soc. B, 58(1), 267-288.
- Tse, P.W. and Wang, X. (2013), "Characterization of pipeline defect in guided-waves based inspection through matching pursuit with the optimized dictionary", NDT E Int., 54, 177-182.
- Worden, K. and Manson, G. (2007), "The application of machine learning to structural health monitoring", Philosoph. Trans. Roy. Soc. A, 365, 515-537. https://doi.org/10.1098/rsta.2006.1938
- Yang, Y. and Nagarajaiah, S. (2013), "Output-only modal identification with limited sensors using sparse component analysis", J. Sound Vibr., 332(19), 4741-4765. https://doi.org/10.1016/j.jsv.2013.04.004
-
Yang, A., Ganesh, A., Zhou, Z., Sastry, S. and Ma, Y. (2010), textitFast
${\ell}_1$ minimization algorithms and an application in robust face recognition: a review, Technical Report, UC Berkeley, California, U.S.A. - Yang, Y. and Nagarajaiah, S. (2014), "Structural damage identification via a combination of blind feature extraction and sparse representation classification", Mech. Syst. Sign. Proc., 45(1), 1-23. https://doi.org/10.1016/j.ymssp.2013.09.009
- Yang, Y. and Nagarajaiah, S. (2014), "Blind identification of damage in time-varying systems using independent component analysis with wavelet transform", Mech. Syst. Sign. Proc., 47(1-2), 3-20. https://doi.org/10.1016/j.ymssp.2012.08.029
- Ying, Y., Garrett Jr, J.H., Harley, J., Oppenheim, I.J., Shi, J. and Soibelman, L. (2013), "Damage detection in pipes under changing environmental conditions using embedded piezoelectric transducers and pattern recognition techniques", J. Pipeline Syst. Eng. Prac., 4(1), 17-23. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000106
- Ying, Y., Garrett Jr, J.H., Oppenheim, I.J., Soibelman, L., Harley, J., Shi, J. and Jin, Y. (2013), "Toward data-driven structural health monitoring: Application of machine learning and signal processing to damage detection", J. Comput. Civil Eng., 27(6), 667-680. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000258
- Yu, L., Giurgiutiu, V., Wang, J. and Shin, Y.J. (2011), "Corrosion detection with piezoelectric wafer active sensors using pitch-catch waves and cross-time-frequency analysis", Struct. Health Monitor., 11(1), 83-93.
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