Title: Effect of frequency domain attributes of wavelet analysis filter banks for structural damage localisation using the relative wavelet entropy index

Authors: Kyriaki Gkoktsi; Agathoklis Giaralis

Addresses: Department of Civil Engineering, City University London, Northampton Square, EC1V 0HB, London, UK ' Department of Civil Engineering, City University London, Northampton Square, EC1V 0HB, London, UK

Abstract: The relative wavelet entropy (RWE) is a commonly considered in the literature damage-sensitive index derived by wavelet transforming linear response acceleration signals from healthy/reference and damaged states of a given structure subject to broadband excitation. Herein, four different energy-preserving wavelet analysis filter banks are employed to compute the RWE for two benchmark structures via algorithms that may efficiently run on-board wireless sensors for decentralised structural health monitoring. It is shown that filter banks of wavelet bases compactly supported in the frequency domain are advantageous since they achieve enhanced frequency selectivity among scales and, therefore, the scale/frequency dependent contributors to the RWE become easier to interpret. Moreover, it is demonstrated that 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, while non-constant Q analysis filter banks are most effective for RWE-based stationary damage detection.

Keywords: structural health monitoring; SHM; damage detection; relative wavelet entropy; RWE; wavelet filter banks; frequency domain; structural damage localisation; wireless sensors.

DOI: 10.1504/IJSMSS.2015.078365

International Journal of Sustainable Materials and Structural Systems, 2015 Vol.2 No.1/2, pp.134 - 160

Received: 17 Nov 2015
Accepted: 10 Mar 2016

Published online: 15 Aug 2016 *

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