Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2012, Article ID 543828, 16 pages
http://dx.doi.org/10.1155/2012/543828
Research Article

Modified and Simplified Sectional Flexibility of a Cracked Beam

Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan

Received 25 April 2011; Revised 20 July 2011; Accepted 27 September 2011

Academic Editor: George Jaiani

Copyright © 2012 Chih-Shiung Wang and Lin-Tsang Lee. 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. G. C. Sih, Method of Fracture Analysis and Solutions of Crack Problems, Noordhoff International, Leiden, The Netherlands, 1973. View at Zentralblatt MATH
  2. H. Tada, P. C. Paris, and G. R. Irwin, The Stress Analysis of Cracks Handbook, Paris Productions, St. Louis, Mo, USA, 2nd edition, 1985. View at Zentralblatt MATH
  3. L. Nobile, “Mixed mode crack initiation and direction in beams with edge crack,” Theoretical and Applied Fracture Mechanics, vol. 33, no. 2, pp. 107–116, 2000. View at Publisher · View at Google Scholar
  4. A. D. Dimarogonas and S. A. Paipetis, Analytical Methods in Rotor Dynamics, Applied Science, New York, NY, USA, 1983.
  5. 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 Publisher · View at Google Scholar
  6. N. Anifantis and A. Dimarogonas, “Stability of columns with a single crack subjected to follower and vertical loads,” International Journal of Solids and Structures, vol. 19, no. 4, pp. 281–291, 1983. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. 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 Publisher · View at Google Scholar
  8. H. P. Lin, S. C. Chang, and J. D. Wu, “Beam vibrations with an arbitrary number of cracks,” Journal of Sound and Vibration, vol. 258, no. 5, pp. 987–999, 2002. View at Publisher · View at Google Scholar
  9. H. P. Lin and S. C. Chang, “Forced responses of cracked cantilever beams subjected to a concentrated moving load,” International Journal of Mechanical Sciences, vol. 48, no. 12, pp. 1456–1463, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. A. S. Y. Alsabbagh, O. M. Abuzeid, and M. H. Dado, “Simplified stress correction factor to study the dynamic behavior of a cracked beam,” Applied Mathematical Modelling, vol. 33, no. 1, pp. 127–139, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. H. P. Lin, “Direct and inverse methods on free vibration analysis of simply supported beams with a crack,” Engineering Structures, vol. 26, no. 4, pp. 427–436, 2004. View at Publisher · View at Google Scholar
  12. W. F. Brown and J. E. Srawley, Plane Strain Crack Toughness Testing of High Strength Metallic Material, American Society Testing and Materials, 1966.