Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2016, Article ID 3560160, 12 pages
http://dx.doi.org/10.1155/2016/3560160
Research Article

Dynamic Behavior of a Prestressed Concrete Bridge with a Switching Crack Subjected to Moving Trains

College of Civil and Transportation Engineering, Hohai University, Nanjing, China

Received 28 June 2016; Accepted 25 July 2016

Academic Editor: Yan-Wu Wang

Copyright © 2016 Chunyu Fu. 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. 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
  2. U. Andreaus, P. Casini, and F. Vestroni, “Non-linear dynamics of a cracked cantilever beam under harmonic excitation,” International Journal of Non-Linear Mechanics, vol. 42, no. 3, pp. 566–575, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. M.-H. H. Shen and Y. C. Chu, “Vibrations of beams with a fatigue crack,” Computers and Structures, vol. 45, no. 1, pp. 79–93, 1992. View at Publisher · View at Google Scholar · View at Scopus
  4. A. D. Dimarogonas, S. A. Paipetis, and T. G. Chondros, Analytical Methods in Rotor Dynamics, vol. 9 of Mechanisms and Machine Science, Springer, Dordrecht, The Netherlands, 2nd edition, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  5. S. Caddemi, I. Caliò, and M. Marletta, “The non-linear dynamic response of the Euler–Bernoulli beam with an arbitrary number of switching cracks,” International Journal of Non-Linear Mechanics, vol. 45, no. 7, pp. 714–726, 2010. View at Publisher · View at Google Scholar · View at Scopus
  6. D. P. Patil and S. K. Maiti, “Detection of multiple cracks using frequency measurements,” Engineering Fracture Mechanics, vol. 70, no. 12, pp. 1553–1572, 2003. View at Publisher · View at Google Scholar · View at Scopus
  7. B. Biondi and S. Caddemi, “Closed form solutions of Euler-Bernoulli beams with singularities,” International Journal of Solids and Structures, vol. 42, no. 9-10, pp. 3027–3044, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. S. Caddemi and I. Caliò', “Exact solution of the multi-cracked Euler-Bernoulli column,” International Journal of Solids and Structures, vol. 45, no. 5, pp. 1332–1351, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. S. S. Law and X. Q. Zhu, “Dynamic behavior of damaged concrete bridge structures under moving vehicular loads,” Engineering Structures, vol. 26, no. 9, pp. 1279–1293, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. V. Jaksic, A. O'Connor, and V. Pakrashi, “Damage detection and calibration from beam-moving oscillator interaction employing surface roughness,” Journal of Sound and Vibration, no. 17, pp. 3917–3930, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. C. Fu, “The effect of switching cracks on the vibration of a continuous beam bridge subjected to moving vehicles,” Journal of Sound and Vibration, vol. 339, pp. 157–175, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. F. S. Buezas, M. B. Rosales, and C. P. Filipich, “Damage detection with genetic algorithms taking into account a crack contact model,” Engineering Fracture Mechanics, vol. 78, no. 4, pp. 695–712, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. R. Ruotolo, C. Surace, P. Crespo, and D. Storer, “Harmonic analysis of the vibrations of a cantilevered beam with a closing crack,” Computers and Structures, vol. 61, no. 6, pp. 1057–1074, 1996. View at Publisher · View at Google Scholar · View at Scopus
  14. 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
  15. M. Saiidi, B. Douglas, and S. Feng, “Prestress force effect on vibration frequency of concrete bridges,” Journal of Structural Engineering, vol. 120, no. 7, pp. 2233–2241, 1994. View at Publisher · View at Google Scholar · View at Scopus
  16. K. Kanaka and G. Venkateswara, “Free vibration behavior of prestressed beams,” Journal of Structural Engineering (ASCE), vol. 112, no. 2, pp. 433–437, 1986. View at Publisher · View at Google Scholar
  17. A. Miyamoto, K. Tei, H. Nakamura, and J. W. Bull, “Behavior of prestressed beam strengthened with external tendons,” Journal of Structural Engineering (ASCE), vol. 126, no. 9, pp. 1033–1044, 2000. View at Publisher · View at Google Scholar
  18. E. Hamed and Y. Frostig, “Natural frequencies of bonded and unbonded prestressed beams-prestress force effects,” Journal of Sound and Vibration, vol. 295, no. 1-2, pp. 28–39, 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. O. R. Jaiswal, “Effect of prestressing on the first flexural natural frequency of beams,” Structural Engineering and Mechanics, vol. 28, no. 5, pp. 515–524, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. D. L. Logan, A First Course in the Finite Element Method, Thomson, Toronto, Canada, 4th edition, 2007.
  21. R. W. Clough and J. Penzien, Dynamics of Structures, McGraw-Hill, New York, NY, USA, 2nd edition, 1993.
  22. M. M. Abdel Wahab, G. De Roeck, and B. Peeters, “Parameterization of damage in reinforced concrete structures using model updating,” Journal of Sound and Vibration, vol. 228, no. 4, pp. 717–730, 1999. View at Publisher · View at Google Scholar · View at Scopus