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Advances in Acoustics and Vibration
Volume 2013, Article ID 321931, 10 pages
Research Article

Differential Evolution: An Inverse Approach for Crack Detection

1Department of Mechanical Engineering, NIT Rourkela, Odisha 769008, India
2Department of Mechanical Engineering, Siksha O Anusandhan Deemed University, Bhubaneswar, Odisha 751030, India

Received 30 April 2013; Revised 2 September 2013; Accepted 13 September 2013

Academic Editor: Marc Thomas

Copyright © 2013 Prabir Kumar Jena 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.


This paper presents a damage detection technique combining analytical and experimental investigations on a cantilever aluminium alloy beam with a transverse surface crack. Firstly, the first three natural frequencies were determined using analytical methods based on strain energy release rate. Secondly, an experimental method was adopted to validate the theoretical findings. The damage location and severity assessment is the third stage and is formulated as a constrained optimisation problem and solved using the proposed differential evolution (DE) algorithm based on the measured and calculated first three natural frequencies as inputs. Numerical simulation studies indicate that the proposed method is robust and can be used effectively in structural health monitoring (SHM) applications.