Abstract
In this paper we present an experimental investigation of the identification of crack location and size. By providing the first three natural frequencies through vibration measurements, curves of crack equivalent stiffness versus crack location are plotted, and the intersection of the three curves predicts the crack location and size. In the experiments, the cracked specimens were made using a wire-cut electrical discharge machine, and the cantilever beams were excited next to the free end by means of an impulse force hammer. In order to obtain the accurate natural frequencies from the transient signal measured, the method of zoom fast Fourier transform is adopted to improve frequency resolution. From experimental results, it is observed that the identification errors of crack location and size are less than 2% and 4%, respectively. The effectiveness of crack identification through vibration measurements is verified.
Similar content being viewed by others
References
Liu, D., Gurgenci, H., andVeidt, M., “Crack Detection in Hollow Section Structures Through Coupled Response Measurements,”Journal of Sound and Vibration,261,17–29 (2003).
Rizos, P.F., Aspragathos, N., andDimarogonas, A.D., “Identification of Crack Location and Magnitude in a Cantilever Beam from the Vibration Modes,”Journal of Sound and Vibration,138,381–388 (1990).
Seibold, S. andWeinert, K., “A Time Domain Method for the Localization of Cracks in Rotors,”Journal of Sound and Vibration,195,57–73 (1996).
Salawu, O.S., “Detection of Structural Damage through Changes in Frequency: A Review,”Engineering Structures,19,718–723 (1997).
Nandwana, B.P. andMaiti, S.K., “Detection of the Location and Size of a Crack in Stepped Cantilever Beams Based on Measurements of Natural Frequencies,”Journal of Sound and Vibration,203,435–446 (1997).
Chaudhari, T.D. andMaiti, S.K., “A Study of Vibration of Geometrically Segmented Beams With and Without Crack,”International Journal of Solids and Structures,37,761–779 (2000).
Chinchalkar, S., “Determination of Crack Location in Beams Using Natural Frequencies,”Journal of Sound and Vibration,247,417–429 (2001).
Lele, S.P. andMaiti, S.K., “Modeling of Transverse Vibration of Short Beams for Crack Detection and Measurement of Crack Extension,”Journal of Sound and Vibration,257,559–583 (2002).
Chen, X.F., Yang, S.J., Ma, J.X., andHe, Z.J., “The Construction of Wavelet Finite Element and its Application,”Finite Elements in Analysis and Design,40,541–554 (2004).
Li, B., Chen, X.F., Ma, J.X., and He, Z.J., “Detection of Crack Location and Size in Structures Using Wavelet Finite Element Methods,” Journal of Sound and Vibration, in press (doi: 10.1016/j.jsv.2004.08.040).
Dimarogonas, A.D., “Vibration of Cracked Structures: A State of the Art Review,”Engineering Fracture Mechanics,55,831–857 (1996).
Silva, J.M. andGomes, A.J.L., “Experimental Dynamic Analysis of Cracked Free-free Beams,” EXPERIMENTAL MECHANICS,30,20–25 (1990).
Yip, P.C.Y., “Some Aspects of the Zoom Transform,”IEEE Transactions on Computers,25,287–296 (1976).
Martin, R.J., “Autoregression and Irregular Sampling: Spectral Estimation,”Signal Processing,77,139–157 (1999).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, X.F., He, Z.J. & Xiang, J.W. Experiments on crack identification in cantilever beams. Experimental Mechanics 45, 295–300 (2005). https://doi.org/10.1007/BF02427954
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02427954