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Sensors 2015, 15(9), 22750-22775; doi:10.3390/s150922750

An Improved Method of Parameter Identification and Damage Detection in Beam Structures under Flexural Vibration Using Wavelet Multi-Resolution Analysis

1
StrucHMRS Group, Department of Civil Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia
2
Department of Civil Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M. N. Passaro
Received: 1 July 2015 / Revised: 23 August 2015 / Accepted: 24 August 2015 / Published: 9 September 2015
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [3007 KB, uploaded 9 September 2015]   |  

Abstract

This paper reports on a two-step approach for optimally determining the location and severity of damage in beam structures under flexural vibration. The first step focuses on damage location detection. This is done by defining the damage index called relative wavelet packet entropy (RWPE). The damage severities of the model in terms of loss of stiffness are assessed in the second step using the inverse solution of equations of motion of a structural system in the wavelet domain. For this purpose, the connection coefficient of the scaling function to convert the equations of motion in the time domain into the wavelet domain is applied. Subsequently, the dominant components based on the relative energies of the wavelet packet transform (WPT) components of the acceleration responses are defined. To obtain the best estimation of the stiffness parameters of the model, the least squares error minimization is used iteratively over the dominant components. Then, the severity of the damage is evaluated by comparing the stiffness parameters of the identified model before and after the occurrence of damage. The numerical and experimental results demonstrate that the proposed method is robust and effective for the determination of damage location and accurate estimation of the loss in stiffness due to damage. View Full-Text
Keywords: beam structure under flexural vibration; relative wavelet packet entropy; damage detection; wavelet transform; time-varying system identification beam structure under flexural vibration; relative wavelet packet entropy; damage detection; wavelet transform; time-varying system identification
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Ravanfar, S.A.; Razak, H.A.; Ismail, Z.; Monajemi, H. An Improved Method of Parameter Identification and Damage Detection in Beam Structures under Flexural Vibration Using Wavelet Multi-Resolution Analysis. Sensors 2015, 15, 22750-22775.

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