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Shock and Vibration
Volume 2016, Article ID 8194549, 8 pages
http://dx.doi.org/10.1155/2016/8194549
Research Article

Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape

State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China

Received 17 August 2015; Revised 29 October 2015; Accepted 16 November 2015

Academic Editor: Juan P. Amezquita-Sanchez

Copyright © 2016 Bo Zhao 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. W. Fan and P. Z. Qiao, “Vibration-based damage identification methods: a review and comparative study,” Structural Health Monitoring, vol. 10, no. 1, pp. 83–111, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. Z. A. Jassim, N. N. Ali, F. Mustapha, and N. A. Abdul Jalil, “A review on the vibration analysis for a damage occurrence of a cantilever beam,” Engineering Failure Analysis, vol. 31, pp. 442–461, 2013. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Messina, E. J. Williams, and T. Contursi, “Structural damage detection by a sensitivity and statistical-based method,” Journal of Sound and Vibration, vol. 216, no. 5, pp. 791–808, 1998. View at Publisher · View at Google Scholar · View at Scopus
  4. J.-T. Kim and N. Stubbs, “Crack detection in beam-type structures using frequency data,” Journal of Sound and Vibration, vol. 259, no. 1, pp. 145–160, 2003. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Y. Xu, W. D. Zhu, and B. H. Emory, “Experimental and numerical investigation of structural damage detection using changes in natural frequencies,” Journal of Vibration and Acoustics, vol. 129, no. 6, pp. 686–700, 2007. View at Publisher · View at Google Scholar · View at Scopus
  6. Z. Y. Shi, S. S. Law, and L. M. Zhang, “Damage localization by directly using incomplete mode shapes,” Journal of Engineering Mechanics, vol. 126, no. 6, pp. 656–660, 2000. View at Publisher · View at Google Scholar · View at Scopus
  7. P. M. Pawar, K. Venkatesulu Reddy, and R. Ganguli, “Damage detection in beams using spatial fourier analysis and neural networks,” Journal of Intelligent Material Systems and Structures, vol. 18, no. 4, pp. 347–359, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. 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
  9. Q. W. Yang and J. K. Liu, “Damage identification by the eigenparameter decomposition of structural flexibility change,” International Journal for Numerical Methods in Engineering, vol. 78, no. 4, pp. 444–459, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. D. Bernal and B. Gunes, “Flexibility based approach for damage characterization: benchmark application,” Journal of Engineering Mechanics, vol. 130, no. 1, pp. 61–70, 2004. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Tomaszewska, “Influence of statistical errors on damage detection based on structural flexibility and mode shape curvature,” Computers & Structures, vol. 88, no. 3-4, pp. 154–164, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. J. Li, B. Wu, Q. C. Zeng, and C. W. Lim, “A generalized flexibility matrix based approach for structural damage detection,” Journal of Sound and Vibration, vol. 329, no. 22, pp. 4583–4587, 2010. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Masoumi, E. Jamshidi, and M. Bamdad, “Application of generalized flexibility matrix in damage identification using Imperialist Competitive Algorithm,” KSCE Journal of Civil Engineering, vol. 19, no. 4, pp. 994–1001, 2015. View at Publisher · View at Google Scholar · View at Scopus
  14. W.-J. Yan and W.-X. Ren, “Closed-form modal flexibility sensitivity and its application to structural damage detection without modal truncation error,” Journal of Vibration and Control, vol. 20, no. 12, pp. 1816–1830, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. M. Montazer and S. M. Seyedpoor, “A new flexibility based damage index for damage detection of truss structures,” Shock and Vibration, vol. 2014, Article ID 460692, 12 pages, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. J. Gao, Q. Yuan, P. Li, Z. Feng, H. Zhang, and Z. Lv, “Effects of bending moments and pretightening forces on the flexural stiffness of contact interfaces in rod-fastened rotors,” Journal of Engineering for Gas Turbines and Power, vol. 134, no. 10, Article ID 102503, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. J. Li, Z. Li, H. Zhong, and B. Wu, “Structural damage detection using generalized flexibility matrix and changes in natural frequencies,” AIAA Journal, vol. 50, no. 5, pp. 1072–1078, 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. M. R. N. Shirazi, H. Mollamahmoudi, and S. Seyedpoor, “Structural damage identification using an adaptive multi-stage optimization method based on a modified particle swarm algorithm,” Journal of Optimization Theory and Applications, vol. 160, no. 3, pp. 1009–1019, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. Q. Yuan, J. Gao, and P. Li, “Nonlinear dynamics of the rod-fastened Jeffcott rotor,” Journal of Vibration and Acoustics, vol. 136, no. 2, Article ID 021011, 2014. View at Publisher · View at Google Scholar · View at Scopus