Detection and localization of delaminations in composite beams using fractional B-spline wavelets with optimized parameters

In this paper the method of detection and localization of delaminations in composite layered beams using an algorithm based on the wavelet transform of bending modal shapes of beams was presented. For the basis functions the fractional B-spline wavelets with single- and multi-objective optimization of the values of their parameters were selected. The analysis was carried out bas-ing on the results of numerical simulations. Several cases of the delaminations occurrence with respect to their location on the thickness of the beams, different sizes and geometrical features, were analyzed. Results of the conducted analyzes show the high effectiveness of a method in the task of detection of delaminations and a possibility of its application in industrial conditions.

[1]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Andrzej Katunin,et al.  Crack identification in composite beam using causal B-spline wavelets of fractional order , 2013 .

[3]  Andrzej Katunin,et al.  Damage identification in composite plates using two-dimensional B-spline wavelets , 2011 .

[4]  N. Derbel,et al.  A Multi Objective Genetic Algorithm based optimization of wavelet transform implementation , 2008, 2008 3rd International Design and Test Workshop.

[5]  Thierry Blu,et al.  A complete family of scaling functions: the (/spl alpha/, /spl tau/)-fractional splines , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[6]  Thierry Blu,et al.  Fractional Splines and Wavelets , 2000, SIAM Rev..

[7]  M. Rucka,et al.  Crack identification using wavelets on experimental static deflection profiles , 2006 .

[8]  J. Rafiee,et al.  A novel technique for selecting mother wavelet function using an intelligent fault diagnosis system , 2009, Expert Syst. Appl..

[9]  Piotr Przystałka,et al.  Structural Diagnostics of Composite Beams Using Optimally Selected Fractional B-spline Wavelets , 2014 .

[10]  Krzysztof Wilde,et al.  Application of continuous wavelet transform in vibration based damage detection method for beams and plates , 2006 .

[11]  S. Loutridis,et al.  CRACK IDENTIFICATION IN BEAMS USING WAVELET ANALYSIS , 2003 .

[12]  Colin P. Ratcliffe,et al.  Vibration Technique for Locating Delamination in a Composite Beam , 1998 .

[13]  Andrzej Katunin,et al.  Identification of multiple cracks in composite beams using discrete wavelet transform , 2010 .

[14]  Andrzej Katunin,et al.  The construction of high-order b-spline wavelets and their decomposition relations for fault detection and localisation in composite beams , 2011 .

[15]  R. K. Ursem.  Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[16]  Andrzej Katunin,et al.  Crack identification in composite elements with non-linear geometry using spatial wavelet transform , 2013 .

[17]  Helle Hein,et al.  Computationally efficient delamination detection in composite beams using Haar wavelets , 2011 .

[18]  Shuncong Zhong,et al.  Detection of cracks in simply-supported beams by continuous wavelet transform of reconstructed modal data , 2011 .

[19]  Michael Unser,et al.  On the asymptotic convergence of B-spline wavelets to Gabor functions , 1992, IEEE Trans. Inf. Theory.

[20]  Sameh Fakhfakh-Ghribi,et al.  A Multi Objective Genetic Algorithm based Optimization of Wavelet Transform Implementation for Face Recognition Applications , 2012 .

[21]  S. Loutridis,et al.  Crack identification in double-cracked beams using wavelet analysis , 2004 .

[22]  P. Frank Pai,et al.  Damage detection of beams using operational deflection shapes , 2001 .

[23]  Grant P. Steven,et al.  VIBRATION-BASED MODEL-DEPENDENT DAMAGE (DELAMINATION) IDENTIFICATION AND HEALTH MONITORING FOR COMPOSITE STRUCTURES — A REVIEW , 2000 .

[24]  Guy Carrault,et al.  Improving ECG Beats Delineation With an Evolutionary Optimization Process , 2010, IEEE Transactions on Biomedical Engineering.