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1. Y. J. Yan, L. Cheng, Z. Y. Wu, and L. H. Yam, “Development in vibration-based structural damage detection technique,” Mechanical Systems and Signal Processing, vol. 21, no. 5, pp. 2198–2211, 2007. View at Publisher · View at Google Scholar · View at Scopus
2. Q. Yang, “A new damage identification method based on structural flexibility disassembly,” Journal of Vibration and Control, vol. 17, no. 7, pp. 1000–1008, 2011. View at Publisher · View at Google Scholar
3. L. Yu, L. Cheng, L. H. Yam, Y. J. Yan, and J. S. Jiang, “Online damage detection for laminated composite shells partially filled with fluid,” Composite Structures, vol. 80, no. 3, pp. 334–342, 2007. View at Publisher · View at Google Scholar · View at Scopus
4. X. Lu, M. Lu, L. M. Zhou et al., “Evaluation of welding damage in welded tubular steel structures using guided waves and a probability-based imaging approach,” Smart Materials and Structures, vol. 20, no. 1, Article ID 015018, 2011. View at Publisher · View at Google Scholar · View at Scopus
5. J. Chen, Z. Su, and L. Cheng, “Identification of corrosion damage in submerged structures using fundamental anti-symmetric Lamb waves,” Smart Materials and Structures, vol. 19, no. 1, Article ID 015004, 2010. View at Publisher · View at Google Scholar · View at Scopus
6. G. Zumpano and M. Meo, “A new nonlinear elastic time reversal acoustic method for the identification and localisation of stress corrosion cracking in welded plate-like structures—a simulation study,” International Journal of Solids and Structures, vol. 44, no. 11-12, pp. 3666–3684, 2007. View at Publisher · View at Google Scholar · View at Scopus
7. Z. Su, L. Ye, and Y. Lu, “Guided Lamb waves for identification of damage in composite structures: a review,” Journal of Sound and Vibration, vol. 295, no. 3–5, pp. 753–780, 2006. View at Publisher · View at Google Scholar · View at Scopus
8. C. R. Farrar, S. W. Doebling, and D. A. Nix, “Vibration-based structural damage identification,” Philosophical Transactions of the Royal Society A, vol. 359, no. 1778, pp. 131–149, 2001. View at Publisher · View at Google Scholar · View at Scopus
9. H. Sohn, C. R. Farrar, F. M. Hemez, and J. J. Czarnecki, “A review of structural health monitoring literature: 1996–2001,” in Proceedings of the 3rd World Conference on Structural Control, Como, Italy, April 2002.
10. Z. Su, L. Cheng, X. Wang, L. Yu, and C. Zhou, “Predicting delamination of composite laminates using an imaging approach,” Smart Materials and Structures, vol. 18, no. 7, Article ID 074002, 2009. View at Publisher · View at Google Scholar · View at Scopus
11. E. D. Niri and S. Salamone, “A probabilistic framework for acoustic emission source localization in plate-like structures,” Smart Materials and Structures, vol. 21, no. 3, Article ID 035009, 2012. View at Publisher · View at Google Scholar
12. L. Yu, Z. Su, and X. Liu, “The definition and measurement of the probability density function in lamb wave damage detection based on data fusion,” in Proceedings of the14th Asia Pacific Vibration Conference, Kowloon, Hong Kong, 2011.
13. A. Raghavan and C. E. S. Cesnik, “Review of guided-wave structural health monitoring,” Shock and Vibration Digest, vol. 39, no. 2, pp. 91–114, 2007. View at Publisher · View at Google Scholar · View at Scopus
14. S. G. Pierce, B. Culshaw, G. Manson, K. Worden, and W. J. Staszewski, “Application of ultrasonic Lamb wave techniques to the evaluation of advanced composite structures,” in Smart Structures and Materials 2000—Sensory Phenomena and Measurement Instrumentation for Smart Structures and Materials, vol. 3986 of Proceedings of SPIE, pp. 93–103, March 2000. View at Scopus
15. D. N. Alleyne and P. Cawley, “The interaction of Lamb waves with defects,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 39, no. 3, pp. 381–397, 1992. View at Scopus
16. S. Grondel, C. Paget, C. Delebarre, J. Assaad, and K. Levin, “Design of optimal configuration for generating A0 Lamb mode in a composite plate using piezoceramic transducers,” Journal of the Acoustical Society of America, vol. 112, no. 1, pp. 84–90, 2002. View at Publisher · View at Google Scholar · View at Scopus
17. Z. Su, L. Ye, and X. Bu, “A damage identification technique for CF/EP composite laminates using distributed piezoelectric transducers,” Composite Structures, vol. 57, no. 1–4, pp. 465–471, 2002. View at Publisher · View at Google Scholar · View at Scopus
18. M. Lemistre and D. L. Balageas, “Structural health monitoring system based on diffracted Lamb wave analysis by multiresolution processing,” Smart Materials and Structures, vol. 10, no. 3, pp. 504–511, 2001. View at Publisher · View at Google Scholar · View at Scopus
19. Y. Lu, L. Ye, Z. Su, and C. Yang, “Quantitative assessment of through-thickness crack size based on Lamb wave scattering in aluminium plates,” NDT and E International, vol. 41, no. 1, pp. 59–68, 2008. View at Publisher · View at Google Scholar · View at Scopus
20. V. Giurgiutiu, J. Bao, and W. Zhao, “Piezoelectric wafer active sensor embedded ultrasonics in beams and plates,” Experimental Mechanics, vol. 43, no. 4, pp. 428–449, 2003. View at Publisher · View at Google Scholar · View at Scopus
21. L. Yu, L. Cheng, and Z. Su, “Correlative sensor array and its applications to identification of damage in plate-like structures,” Structural Control and Health Monitoring. In press. View at Publisher · View at Google Scholar
22. D. A. Hutchins, D. P. Jansen, and C. Edwards, “Lamb-wave tomography using non-contact transduction,” Ultrasonics, vol. 31, no. 2, pp. 97–103, 1993. View at Publisher · View at Google Scholar · View at Scopus
23. D. Wang, L. Ye, Z. Su, Y. Lu, F. Li, and G. Meng, “Probabilistic damage identification based on correlation analysis using guided wave signals in aluminum plates,” Structural Health Monitoring, vol. 9, no. 2, pp. 133–144, 2010. View at Publisher · View at Google Scholar · View at Scopus
24. G. Peng and S. Yuan, “Damage localization on two-dimensional structure based on wavelet transform and active lamb wave-based method,” Materials Science Forum, vol. 475-479, no. 3, pp. 2119–2122, 2005. View at Scopus
25. L. De Marchi, A. Marzani, N. Speciale, and E. Viola, “A passive monitoring technique based on dispersion compensation to locate impacts in plate-like structures,” Smart Materials and Structures, vol. 20, no. 3, Article ID 035021, 2011. View at Publisher · View at Google Scholar · View at Scopus
26. A. Perelli, L. De Marchi, A. Marzani, and N. Speciale, “Acoustic emissions localization in plates with dispersion and reverberations by using sparse PZT sensors in passive mode,” Smart Materials and Structures, vol. 21, no. 2, Article ID 025010, 2012. View at Publisher · View at Google Scholar
27. X. Zhao, H. Gao, G. Zhang et al., “Active health monitoring of an aircraft wing with embedded piezoelectric sensor/actuator network: I. Defect detection, localization and growth monitoring,” Smart Materials and Structures, vol. 16, no. 4, pp. 1208–1217, 2007. View at Publisher · View at Google Scholar · View at Scopus
28. Z. Su, X. Wang, L. Cheng, L. Yu, and Z. Chen, “On selection of data fusion schemes for structural damage evaluation,” Structural Health Monitoring, vol. 8, no. 3, pp. 223–241, 2009. View at Publisher · View at Google Scholar · View at Scopus
29. M. Rosenblatt, “Remarks on some nonparametric estimates of a density function,” Annals of Mathematical Statistics, vol. 27, no. 3, pp. 832–837, 1956. View at Publisher · View at Google Scholar
30. E. Parzen, “On estimation of a probability density function and mode,” Annals of Mathematical Statistics, vol. 33, no. 3, pp. 1065–1076, 1962. View at Publisher · View at Google Scholar
31. D. W. Scott, “On optimal and data-based histograms,” Biometrika, vol. 66, no. 3, pp. 605–610, 1979. View at Scopus
32. B. W. Silverman, Density Estimation for Statistics and Data Analysis, Monographs on Statistics and Applied Probability, Chapman & Hall, CRC Press, London, UK, 1998.
33. R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, Mass, USA, 2nd edition, 1994.
34. Z. I. Botev, J. F. Grotowski, and D. P. Kroese, “Kernel density estimation via diffusion,” Annals of Statistics, vol. 38, no. 5, pp. 2916–2957, 2010. View at Publisher · View at Google Scholar · View at Scopus
35. P. Chaudhuri and J. S. Marron, “Scale space view of curve estimation,” Annals of Statistics, vol. 28, no. 2, pp. 408–428, 2000. View at Scopus
36. S. Larsson and V. Thomée, Partial Differential Equations with Numerical Methods, vol. 45 of Texts in Applied Mathematics, Springer, Berlin, Germany, 2003.
37. M. P. Wand and M. C. Jones, Kernel Smoothing, vol. 60 of Monographs on Statistics and Applied Probability, Chapman & Hall, London, UK, 1995.
38. H. W. Lilliefors, “On the Kolmogorov-Smirnov test for the exponential distribution with mean unknown,” Journal of the American Statistical Association, vol. 64, no. 325, pp. 387–389, 1969.