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Shock and Vibration
Volume 2014, Article ID 607125, 10 pages
http://dx.doi.org/10.1155/2014/607125
Research Article

Localization of Transversal Cracks in Sandwich Beams and Evaluation of Their Severity

1Department of Mechanics, “Eftimie Murgu” University of Resita, P-ta Traian Vuia 1-4, 320085 Resita, Romania
2Department of Mechanical Construction and Production, Ghent University, Technologiepark Zwijnaarde 903, 9052 Zwijnaarde, Belgium
3Department of Mechanics, University Politehnica of Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania

Received 12 July 2013; Accepted 10 March 2014; Published 1 June 2014

Academic Editor: Nuno Maia

Copyright © 2014 G. R. Gillich 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. F. J. Plantema, Sandwich Construction: The Bending and Buckling of Sandwich Beams, Plates and Shells, John Wiley & Sons, New York, NY, USA, 1966.
  2. C. M. Wang, J. N. Reddy, and K. H. Lee, Shear Deformable Beams and Plates, Elsevier, New York, NY, USA, 2000.
  3. J. M. Gere and B. J. Goodno, Mechanics of Materials, Cengage Learning, Boston, Mass, USA, 2009.
  4. V. S. Deshpande, “The design of sandwich panels with foam core,” Lecture Notes, Cambridge University, Cambridge, UK, 2002. View at Google Scholar
  5. L. Valdevit, J. W. Hutchinson, and A. G. Evans, “Structurally optimized sandwich panels with prismatic cores,” International Journal of Solids and Structures, vol. 41, no. 18-19, pp. 5105–5124, 2004. View at Publisher · View at Google Scholar · View at Scopus
  6. E. Magnucka-Blandzi and K. Magnucki, “Effective design of a sandwich beam with a metal foam core,” Journal of Sound and Vibration, vol. 301, pp. 253–277, 2007. View at Google Scholar
  7. A. Shahdin, J. Morlier, L. Mezeix, C. Bouvet, and Y. Gourinat, “Evaluation of the impact resistance of various composite sandwich beams by vibration tests,” Shock and Vibration, vol. 18, no. 6, pp. 789–805, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. K. Malekzadeh, M. R. Khalili, and R. K. Mittal, “Response of composite sandwich panels with transversely flexible core to low-velocity transverse impact: a new dynamic model,” International Journal of Impact Engineering, vol. 34, no. 3, pp. 522–543, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. E. Carrera, “Assessment of theories for free vibration analysis of homogeneous and multilayered plates,” Shock and Vibration, vol. 11, no. 3-4, pp. 261–270, 2004. View at Google Scholar · View at Scopus
  10. G. S. Gipson, “Determinantal Rayleigh-Ritz expressions for natural frequencies of sandwich panels with orthotropic face plates,” Mathematical and Computer Modelling, vol. 12, no. 2, pp. 169–180, 1989. View at Google Scholar · View at Scopus
  11. S. F. Bastos, L. Borges, and F. A. Rochinha, “Numerical and experimental approach for identifying elastic parameters in sandwich plates,” Shock and Vibration, vol. 9, no. 4-5, pp. 193–201, 2002. View at Google Scholar · View at Scopus
  12. T. Hause and L. Librescu, “Flexural free vibration of sandwich flat panels with laminated anisotropic face sheets,” Journal of Sound and Vibration, vol. 297, no. 3–5, pp. 823–841, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. R. A. S. Moreira and J. D. Rodrigues, “Static and dynamic analysis of soft core sandwich panels with through-thickness deformation,” Composite Structures, vol. 92, no. 2, pp. 201–215, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. H. Schwarts-Givli, O. Rabinovitch, and Y. Frostig, “Free vibrations of delaminated unidirectional sandwich panels with a transversely flexible core—a modified Galerkin approach,” Journal of Sound and Vibration, vol. 301, no. 1-2, pp. 253–277, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. V. S. Deshpande and N. A. Fleck, “Collapse of truss core sandwich beams in 3-point bending,” International Journal of Solids and Structures, vol. 38, no. 36-37, pp. 6275–6305, 2001. View at Publisher · View at Google Scholar · View at Scopus
  16. A. Leopa, S. Nastac, and C. Debeleac, “Researches on damage identification in passive vibro-isolation devices,” Shock and Vibration, vol. 19, no. 5, pp. 803–809, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. G. R. Gillich, Z. I. Praisach, and D. M. Onchis, “About the effectiveness of damage detection methods based on vibration measurements,” in Proceedings of the 3rd WSEAS International Conference on Engineering Mechanics, Structures, Engineering Geology (EMESEG '10), pp. 204–209, Corfu Island, Greece, July 2010. View at Scopus
  18. G. R. Gillich and Z. I. Praisach, “Robust method to identify damages in beams based on frequency shift analysis,” in Health Monitoring of Structural and Biological Systems 2012, vol. 8348 of Proceedings of SPIE Smart Structures/NDE, 8348-47, San Diego, Calif, USA, March 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. G.-R. Gillich, Z.-I. Praisach, and I. Negru, “Damages influence on dynamic behaviour of composite structures reinforced with continuous fibers,” Materiale Plastice, vol. 49, no. 3, pp. 186–191, 2012. View at Google Scholar · View at Scopus
  20. G. R. Gillich and Z. I. Praisach, “Damage-patterns based method to locate discontinuities in beams,” in Health Monitoring of Structural and Biological Systems 2013, vol. 8695 of Proceedings of SPIE Smart Structures/NDE, 8695-110, San Diego, Calif, USA, March 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. H. Liebowitz and W. D. Claus Jr., “Failure of notched columns,” Engineering Fracture Mechanics, vol. 1, no. 2, pp. 379–383, 1968. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Liebowitz, H. Vanderveldt, and D. W. Harris, “Carrying capacity of notched columns,” International Journal of Solids and Structures, vol. 3, no. 4, pp. 489–500, 1967. View at Google Scholar · View at Scopus
  23. P. F. Rizos, N. Aspragathos, and A. D. Dimarogonas, “Identification of crack location and magnitude in a cantilever beam from the vibration modes,” Journal of Sound and Vibration, vol. 138, no. 3, pp. 381–388, 1990. View at Google Scholar · View at Scopus
  24. S. Caddemi and I. Caliò, “Exact closed-form solution for the vibration modes of the Euler-Bernoulli beam with multiple open cracks,” Journal of Sound and Vibration, vol. 327, no. 3–5, pp. 473–489, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. W. M. Ostachowicz and M. Krawczuk, “Analysis of the effect of cracks on the natural frequencies of a cantilever beam,” Journal of Sound and Vibration, vol. 150, no. 2, pp. 191–201, 1991. View at Google Scholar · View at Scopus
  26. C. Bilello, Theoretical and experimental investigation on damaged beams under moving systems [Ph.D. thesis], Università degli Studi di Palermo, Palermo, Italy, 2001.
  27. T. G. Chondros, A. D. Dimarogonas, and J. Yao, “A continuous cracked beam vibration theory,” Journal of Sound and Vibration, vol. 215, no. 1, pp. 17–34, 1998. View at Google Scholar · View at Scopus
  28. S. Yi-Zhe, C. Bowen, A. Kim et al., “Non-invasive damage detection in beams using marker extraction and wavelets,” Mechanical Systems and Signal Processing, 2014. View at Publisher · View at Google Scholar
  29. G. R. Gillich and Z. I. Praisach, “Modal identification and damage detection in beam-like structures using the power spectrum and time-frequency analysis,” Signal Processing, vol. 96, pp. 29–44, 2014. View at Publisher · View at Google Scholar · View at Scopus
  30. D. M. Onchis and P. Rajmic, “Generalized Goertzel algorithm for computing the natural frequencies of cantilever beams,” Signal Processing, vol. 96, pp. 45–50, 2014. View at Publisher · View at Google Scholar · View at Scopus
  31. G. R. Gillich, P. F. Minda, Z. I. Praisach, and A. A. Minda, “Natural frequencies of damaged beams—a new approach,” Romanian Journal of Acoustics and Vibration, vol. 9, no. 2, pp. 101–108, 2012. View at Google Scholar · View at Scopus
  32. P. F. Minda, Z. I. Praisach, N. Gillich, A. A. Minda, and G. R. Gillich, “On the efficiency of different dissimilarity estimators used in damage detection,” Romanian Journal of Acoustics and Vibration, vol. 10, no. 1, pp. 15–18, 2013. View at Google Scholar · View at Scopus