Impact localization in composite structures of arbitrary cross section

This article proposes an in situ structural health monitoring method able to locate the impact source and to determine the flexural Lamb mode A0 velocity in composite structures with unknown lay-up and cross section. The algorithm is based on the differences of the stress waves measured by six surface-attached acoustic emission piezoelectric (lead zirconate titanate) sensors and is branched off into two steps. In the first step, the magnitude of the squared modulus of continuous wavelet transform, which guarantees high accuracy in the time–frequency analysis of the acoustic waves, was used to identify the time of arrival of the flexural Lamb wave. Then, the coordinates of the impact location and the group speed values are obtained by solving a set of non-linear equations through a combination of local Newton’s iterative method associated with line search and polynomial backtracking techniques. The proposed method, in contrast to the current impact localization algorithms, does not require a priori knowledge of the anisotropy angular-group velocity pattern of the measured waveforms as well as the mechanical properties of the structure. To validate this method, experimental location testing was conducted on two different composite structures: a quasi-isotropic carbon fibre–reinforced plastic laminate and a sandwich panel. The results showed that source location was achieved with satisfactory accuracy (maximum error in estimation of the impact location was approximately 3 mm for quasi-isotropic carbon fibre–reinforced plastic panel and nearly 2 mm for sandwich plate), requiring little computational time (nearly 1 s). In addition, the values of the fundamental flexural Lamb mode A0 obtained from the optimization algorithm were compared with those determined by a numerical spectral finite element method.

[1]  D K Smith,et al.  Numerical Optimization , 2001, J. Oper. Res. Soc..

[2]  Michele Meo,et al.  Impact identification on a sandwich plate from wave propagation responses , 2005 .

[3]  Hyunjo Jeong,et al.  Fracture source location in thin plates using the wavelet transform of dispersive waves , 2000, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[4]  Stephen J. Wright,et al.  Numerical Optimization (Springer Series in Operations Research and Financial Engineering) , 2000 .

[5]  S. Finnveden Evaluation of modal density and group velocity by a finite element method , 2004 .

[6]  Tribikram Kundu,et al.  Detection of the point of impact on a stiffened plate by the acoustic emission technique , 2009 .

[7]  A. Cammarano,et al.  Waveguides of a Composite Plate by using the Spectral Finite Element Approach , 2009 .

[8]  Francesco Ciampa,et al.  Acoustic emission localization in complex dissipative anisotropic structures using a one-channel reciprocal time reversal method. , 2011, The Journal of the Acoustical Society of America.

[9]  M. Lowe,et al.  Guided waves energy velocity in absorbing and non-absorbing plates , 2001 .

[10]  M. Gorman,et al.  Source location in thin plates using cross-correlation , 1991 .

[11]  A. Tobias,et al.  Acoustic-emission source location in two dimensions by an array of three sensors , 1976 .

[12]  S. Mallat A wavelet tour of signal processing , 1998 .

[13]  H. Tzou Piezoelectric Shells: Distributed Sensing and Control of Continua , 1993 .

[14]  Anthonio Teolis,et al.  Computational signal processing with wavelets , 1998, Applied and numerical harmonic analysis.

[15]  Fu-Kuo Chang,et al.  Impact identification of stiffened composite panels: I. System development , 2001 .

[16]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[17]  Francesco Ciampa,et al.  Impact detection in anisotropic materials using a time reversal approach , 2012 .

[18]  Francesco Ciampa,et al.  Acoustic emission source localization and velocity determination of the fundamental mode A0 using wavelet analysis and a Newton-based optimization technique , 2010 .

[19]  Francesco Ciampa,et al.  A new algorithm for acoustic emission localization and flexural group velocity determination in anisotropic structures , 2010 .

[20]  M. Haase,et al.  Damage identification based on ridges and maxima lines of the wavelet transform , 2003 .

[21]  Yoshihiro Mizutani,et al.  REAL-TIME EXECUTING SOURCE LOCATION SYSTEM APPLICABLE TO ANISOTROPIC THIN STRUCTURES , 2005 .

[22]  Steve M. Ziola,et al.  Stiffness measurement and defect detection in laminated composites by dry-coupled plate waves , 1998, Smart Structures.

[23]  Laurence J. Jacobs,et al.  Localization of a ``Synthetic'' Acoustic Emission Source on the Surface of a Fatigue Specimen , 2001 .

[24]  P. H. White Cross Correlation in Structural Systems: Dispersion and Nondispersion Waves , 1969 .