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Shock and Vibration
Volume 2017, Article ID 5687837, 20 pages
https://doi.org/10.1155/2017/5687837
Research Article

Reconstructed Phase Space-Based Damage Detection Using a Single Sensor for Beam-Like Structure Subjected to a Moving Mass

1College of Science & Engineering, Jinan University, Guangzhou, Guangdong, China
2State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, Shanxi, China
3Department of Infrastructure Engineering, The University of Melbourne, Melbourne, VIC, Australia
4Dongguan University of Technology, Dongguan 523000, China
5College of Civil Engineering, Qinghai University, Xining, China

Correspondence should be addressed to Hongwei Ma; nc.ude.unj@whamt

Received 17 June 2016; Revised 31 October 2016; Accepted 24 November 2016; Published 28 February 2017

Academic Editor: Ivo Caliò

Copyright © 2017 Zhenhua Nie et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Z. Nie, H. Hao, and H. Ma, “Structural damage detection based on the reconstructed phase space for reinforced concrete slab: experimental study,” Journal of Sound and Vibration, vol. 332, no. 4, pp. 1061–1078, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. N. T. Khiem and T. V. Lien, “A simplified method for natural frequency analysis of a multiple cracked beam,” Journal of Sound and Vibration, vol. 245, no. 4, pp. 737–751, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. O. S. Salawu, “Detection of structural damage through changes in frequency: a review,” Engineering Structures, vol. 19, no. 9, pp. 718–723, 1997. View at Publisher · View at Google Scholar · View at Scopus
  4. N. Lieven and D. Ewins, “Spatial correlation of modal shapes, the coordinate modal assurance criterion (COMAC),” in Proceedings of the 6th International Modal Analysis Conference, vol. 1, pp. 690–695, 1988.
  5. A. K. Pandey and M. Biswas, “Damage detection in structures using changes in flexibility,” Journal of Sound and Vibration, vol. 169, no. 1, pp. 3–17, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. A. K. Pandey, M. Biswas, and M. M. Samman, “Damage detection from changes in curvature mode shapes,” Journal of Sound and Vibration, vol. 145, no. 2, pp. 321–332, 1991. View at Publisher · View at Google Scholar · View at Scopus
  7. K. Roy and S. Ray-Chaudhuri, “Fundamental mode shape and its derivatives in structural damage localization,” Journal of Sound and Vibration, vol. 332, no. 21, pp. 5584–5593, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. Z. Ismail, H. Abdul Razak, and A. G. Abdul Rahman, “Determination of damage location in RC beams using mode shape derivatives,” Engineering Structures, vol. 28, no. 11, pp. 1566–1573, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. R. P. Bandara, T. H. T. Chan, and D. P. Thambiratnam, “Frequency response function based damage identification using principal component analysis and pattern recognition technique,” Engineering Structures, vol. 66, pp. 116–128, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. P. C. Chang, A. Flatau, and S. C. Liu, “Review paper: health monitoring of civil infrastructure,” Structural Health Monitoring, vol. 2, no. 3, pp. 257–267, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. 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
  12. X. Q. Zhu and S. S. Law, “Wavelet-based crack identification of bridge beam from operational deflection time history,” International Journal of Solids and Structures, vol. 43, no. 7-8, pp. 2299–2317, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  13. D. Hester and A. González, “A wavelet-based damage detection algorithm based on bridge acceleration response to a vehicle,” Mechanical Systems and Signal Processing, vol. 28, pp. 145–166, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. K. V. Nguyen and H. T. Tran, “Multi-cracks detection of a beam-like structure based on the on-vehicle vibration signal and wavelet analysis,” Journal of Sound and Vibration, vol. 329, no. 21, pp. 4455–4465, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Khorram, F. Bakhtiari-Nejad, and M. Rezaeian, “Comparison studies between two wavelet based crack detection methods of a beam subjected to a moving load,” International Journal of Engineering Science, vol. 51, pp. 204–215, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. A. Khorram, M. Rezaeian, and F. Bakhtiari-Nejad, “Multiple cracks detection in a beam subjected to a moving load using wavelet analysis combined with factorial design,” European Journal of Mechanics. A. Solids, vol. 40, pp. 97–113, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. K. V. Nguyen, “Comparison studies of open and breathing crack detections of a beam-like bridge subjected to a moving vehicle,” Engineering Structures, vol. 51, pp. 306–314, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. Y. Christos, M. Jedrzej, R. Konstantinos, and A. Ioannis, “Multicomponent decomposition of a time-varying acoustic Doppler signal generated by a passing railway vehicle using Complex Shifted Morlet Wavelets,” Transportation Research Part C: Emerging Technologies, vol. 44, pp. 34–51, 2014. View at Publisher · View at Google Scholar · View at Scopus
  19. N. Roveri and A. Carcaterra, “Damage detection in structures under traveling loads by Hilbert–Huang transform,” Mechanical Systems and Signal Processing, vol. 28, pp. 128–144, 2012. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Li and S. S. Law, “Damage identification of a target substructure with moving load excitation,” Mechanical Systems and Signal Processing, vol. 30, pp. 78–90, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. J. Li, S. S. Law, and H. Hao, “Improved damage identification in bridge structures subject to moving loads: numerical and experimental studies,” International Journal of Mechanical Sciences, vol. 74, pp. 99–111, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. F. Cavadas, I. F. C. Smith, and J. Figueiras, “Damage detection using data-driven methods applied to moving-load responses,” Mechanical Systems and Signal Processing, vol. 39, no. 1-2, pp. 409–425, 2013. View at Publisher · View at Google Scholar · View at Scopus
  23. Y. Zhang, S. T. Lie, and Z. Xiang, “Damage detection method based on operating deflection shape curvature extracted from dynamic response of a passing vehicle,” Mechanical Systems and Signal Processing, vol. 35, no. 1-2, pp. 238–254, 2013. View at Publisher · View at Google Scholar · View at Scopus
  24. M. D. Todd, J. M. Nichols, L. M. Pecora, and L. N. Virgin, “Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio,” Smart Materials and Structures, vol. 10, no. 5, pp. 1000–1008, 2001. View at Publisher · View at Google Scholar · View at Scopus
  25. J. M. Nichols, M. D. Todd, M. Seaver, and L. N. Virgin, “Use of chaotic excitation and attractor property analysis in structural health monitoring,” Physical Review E, vol. 67, no. 1, part 2, Article ID 016209, 2003. View at Google Scholar · View at Scopus
  26. J. M. Nichols, L. N. Virgin, M. D. Todd, and J. D. Nichols, “On the use of attractor dimension as a feature in structural health monitoring,” Mechanical Systems and Signal Processing, vol. 17, no. 6, pp. 1305–1320, 2003. View at Publisher · View at Google Scholar · View at Scopus
  27. L. A. Overbey and M. D. Todd, “Analysis of local state space models for feature extraction in structural health monitoring,” Structural Health Monitoring, vol. 6, no. 2, pp. 145–172, 2007. View at Publisher · View at Google Scholar · View at Scopus
  28. L. Moniz, J. M. Nichols, C. J. Nichols et al., “A multivariate, attractor-based approach to structural health monitoring,” Journal of Sound and Vibration, vol. 283, no. 1-2, pp. 295–310, 2005. View at Publisher · View at Google Scholar · View at Scopus
  29. N. Zhenhua, H. Hong, and M. Hongwei, “Structural damage detection using phase space geometry changes,” in Proceedings of the 4th Internation Conference on Experimental Vibration Analysis for Civil Engineering Structures (EVACS '11), pp. 407–416, Varenna, Italy, 2011.
  30. J. M. Nichols, “Structural health monitoring of offshore structures using ambient excitation,” Applied Ocean Research, vol. 25, no. 3, pp. 101–114, 2003. View at Publisher · View at Google Scholar · View at Scopus
  31. L. A. Overbey, C. C. Olson, and M. D. Todd, “A parametric investigation of state-space-based prediction error methods with stochastic excitation for structural health monitoring,” Smart Materials and Structures, vol. 16, no. 5, pp. 1621–1638, 2007. View at Publisher · View at Google Scholar · View at Scopus
  32. Z. Nie, H. Hao, and H. Ma, “Using vibration phase space topology changes for structural damage detection,” Structural Health Monitoring, vol. 11, no. 5, pp. 538–557, 2012. View at Publisher · View at Google Scholar · View at Scopus
  33. Z. Nie, H. Jiang, and H. Ma, “Structural damage detection using response phase space for beam-like structure under a moving load,” in Proceedings of the 20th International Congress on Sound and Vibration (ICSV '13), pp. 2711–2719, Bangkok, Thailand, July 2013. View at Scopus
  34. M. A. Mahmoud and M. A. Abou Zaid, “Dynamic response of a beam with a crack subject to a moving mass,” Journal of Sound and Vibration, vol. 256, no. 4, pp. 591–603, 2002. View at Publisher · View at Google Scholar · View at Scopus
  35. A. Ariaei, S. Ziaei-Rad, and M. Ghayour, “Repair of a cracked Timoshenko beam subjected to a moving mass using piezoelectric patches,” International Journal of Mechanical Sciences, vol. 52, no. 8, pp. 1074–1091, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. Y. Pala and M. Reis, “Dynamic response of a cracked beam under a moving mass load,” Journal of Engineering Mechanics, vol. 139, no. 9, pp. 1229–1238, 2013. View at Publisher · View at Google Scholar · View at Scopus
  37. A. Ariaei, S. Ziaei-Rad, and M. Ghayour, “Vibration analysis of beams with open and breathing cracks subjected to moving masses,” Journal of Sound and Vibration, vol. 326, no. 3–5, pp. 709–724, 2009. View at Publisher · View at Google Scholar · View at Scopus
  38. F. Takens, “Detecting strange attractors in turbulence,” in Dynamical Systems and Turbulence, D. Rand and L. S. Young, Eds., vol. 898 of Lecture Notes in Mathematics, pp. 366–381, Springer, Berlin, Germany, 1981. View at Publisher · View at Google Scholar · View at MathSciNet
  39. H. Tong, Non-Linear Time Series Analysis, Oxford University Press, Oxford, UK, 1990.
  40. J. M. Nichols and J. D. Nichols, “Attractor reconstruction for non-linear systems: a methodological note,” Mathematical Biosciences, vol. 171, no. 1, pp. 21–32, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  41. S. T. Trickey, M. D. Todd, J. M. Nichols, and M. E. Seaver, “Excitation considerations for attractor property analysis in vibration-based damage detection,” in Proceedings of the Smart Nondestructive Evaluation and Health Monitoring of Structural and Biological Systems II, vol. 5047 of Proceedings of SPIE, pp. 340–349, San Diego, Calif, USA, March 2003. View at Publisher · View at Google Scholar