Citation: Gkoktsi, K. & Giaralis, A. (2015). Effect of frequency domain attributes of wavelet analysis filter banks for structural damage localization using the relative wavelet entropy index. International Journal of Sustainable Materials and Structural Systems, 2(1-2), pp. 134-160. doi: 10.1504134-160. doi: 10. /IJSMSS.2015 This is the accepted version of the paper.This version of the publication may differ from the final published version. healthy/reference and a damaged state of a given structure subject to broadband excitations.
PermanentFour different judicially defined energy-preserving wavelet analysis filter banks are employed to compute the RWE pertaining to two benchmark structures via algorithms which can efficiently run on wireless sensors for decentralized structural health monitoring. It is shown that filter banks of compactly supported in the FD wavelet bases (e.g., Meyer wavelets and harmonic wavelets) perform significantly better than the commonly used in the literature dyadic Haar discrete wavelet transform filter banks since they achieve enhanced frequency selectivity among scales (i.e., minimum overlapping of the frequency bands corresponding to adjacent scales) and, therefore, reduce energy leakage and facilitate the interpretation of numerical results in terms of scale/frequency dependent contributors to the RWE. Moreover, it is demonstrated that dyadic DWT filter banks with large constant Q values (i.e., ratio of effective frequency over effective bandwidth) are better qualified to capture damage information associated with high frequencies. Finally, it is concluded that wavelet analysis filter banks achieving non-constant Q analysis are most effective for RWE-based stationary damage detection as they are not limited by the dyadic DWT discretization and can target the structural natural frequencies in cases these are a priori known. * e-mail: Agathoklis.Giaralis.1@city.ac.uk 2