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Research Papers

A Statistical Measure for Wavelet Based Singularity Detection

[+] Author and Article Information
Vikram Pakrashi

 Roughan & O’ Donovan Consulting Engineers, Sandyford, Dublin 18, Irelandpakrashv@tcd.ie

Biswajit Basu1

Department of Civil, Structural, and Environmental Engineering, Trinity College Dublin, Dublin 2, Irelandbasub@tcd.ie

Alan O’ Connor

Department of Civil, Structural, and Environmental Engineering, Trinity College Dublin, Dublin 2, Irelandalan.oconnor@tcd.ie

1

Corresponding author.

J. Vib. Acoust 131(4), 041015 (Jul 14, 2009) (6 pages) doi:10.1115/1.3142880 History: Received November 02, 2007; Revised November 07, 2008; Published July 14, 2009

This paper presents a statistical measure for the identification of the presence, the location, and the calibration of the strength of singularity in a signal or in any of its derivatives in the presence of measurement noise without the requirement of a baseline using a wavelet based detection technique. For this proposed wavelet based detection of singularities present in a signal, the problem of false alarm and its significant reduction by use of multiple measurements is presented. The importance of the proposed measure on baseline and nonbaseline damage calibration has been discussed from the aspect of structural health monitoring. The findings in this paper can also be used for cross-checking of background noise level in an observed signal. The detection of the existence, location, and extent of an open crack from the first fundamental modeshape of a simply supported beam is presented as an example problem.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Damaged and undamaged first modeshapes in the absence of noise for a=0.4 m and δ=0.35

Grahic Jump Location
Figure 2

(a) Boxplot of wavelet based calibration values showing false alarm and (b) boxplot of wavelet based calibration values showing detected damage

Grahic Jump Location
Figure 3

(a) Proposed detector values along the length for undamaged condition and (b) proposed detector values along the length for damaged conditions

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