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Shock and Vibration
Volume 2015, Article ID 832763, 10 pages
Research Article

Identification of Crack Location in Beam Structures Using Wavelet Transform and Fractal Dimension

1The State Key Laboratory for Manufacturing Systems Engineering, Xi’an 710049, China
2School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
3School of Mechanical and Electrical Engineering, Wenzhou University, Wenzhou 325035, China

Received 13 December 2014; Accepted 20 January 2015

Academic Editor: Yanxue Wang

Copyright © 2015 Yong-Ying Jiang 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.


Identification of structural crack location has become an intensely investigated subject due to its practical importance. In this paper, a hybrid method is presented to detect crack locations using wavelet transform and fractal dimension (FD) for beam structures. Wavelet transform is employed to decompose the mode shape of the cracked beam. In many cases, small crack location cannot be identified from approximation signal and detailed signals. And FD estimation method is applied to calculate FD parameters of detailed signals. The crack locations will be detected accurately by FD singularity of the detailed signals. The effectiveness of the proposed method is validated by numerical simulations and experimental investigations for a cantilever beam. The results indicate that the proposed method is feasible and can been extended to more complex structures.