85
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

A uniqueness result on crack location in vibrating rods

Pages 231-254 | Published online: 24 Oct 2007

References

  • Adams , R. D. , Cawley , P. , Pye , C. J. and Stone , B. J. 1978 . A vibration technique for non-destructively assessing the integrity of structures . Journal Mechanical Engineering Science , 20 : 93 – 100 .
  • Antonacci , E. Fenomeni di malcondizionamento nella localizzazione del danno in una trave, (in Italian) . Proceedings National Seminar AIMETA on Computational Mechanics . Trieste. pp. 13 – 18 .
  • Cawley , P. and Adams , R. D. 1979 . The location of defects in structures from measurements of natural frequencies . Journal of Strain Analysis , 14 : 49 – 57 .
  • Davini , C. , Gatti , F. and Morassi , A. 1993 . A damage analysis of steel beams . Meccanica , 28 : 27 – 37 .
  • Davini , C. , Morassi , A. and Rovere , N. 1995 . Modal analysis of notched bars: tests and comments on the sensitivity of an identification technique . Journal of Sound and Vibration , 179 : 513 – 527 .
  • Freund , L. B. and Herrmann , G. 1976 . Dynamic fracture of a beam or plate in plane bending . Journal of Applied Mechanics, Transactions ASME , : 112 – 116 . 76-APM-15
  • Hald , O. H. 1984 . Discontinuous inverse eigenvalue problems . Communications on Pure and Applied Mathematics , 37 : 539 – 577 .
  • Hearn , G. and Testa , R. B. 1991 . Modal analysis for damage detection in structures . Journal of Structural Engineering , 117 : 3041 – 3063 . ASCE
  • ISMES . Prove impulsive su una trave HE100B in vibrazioni assiali con un intaglio (in Italian) . Technical Report, Project DIS 3275.00 . Trieste. Bergamo : ISMES SpA .
  • Liang , R. Y. , Hu , J. and Choy , F. 1992 . Quantitative NDE technique for assessing damages in beam structures . Journal of Engineering Mechanics , 118 : 1468 – 1487 . ASCE
  • Rizos , P. F. , Aspragathos , N. and Dimarogonas , A. D. 1990 . Identification of crack location and magnitude in a cantilever beam from the vibration modes . Journal of Sound and Vibration , 138 : 381 – 388 .
  • Shen , M.-H. H. and Taylor , J. E. 1991 . An identification problem for vibrating cracked beams . Journal of Sound and Vibration , 150 : 457 – 484 .
  • Titchmarsh , E. C. 1939 . The Theory of Functions , London, , U.K. : Oxford University Press .
  • Titchmarsh , E. C. 1948 . Eigenfunction Expansion Associated with Second Order Differential Equations , Vol. 1 , London, , U.K. : Oxford University Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.