Determination of damage location in RC beams using mode shape derivatives

This paper describes the determination of the location of damage due to single cracks and due to honeycombs in RC beams using mode shape derivatives from modal testing. The cracks were induced by application of point loads at predetermined locations on the RC beams. The load was increased in stages...

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Main Authors: Ismail, Z., Abdul Razak, H., Abdul Rahman, A.G.
Format: Article
Language:English
Published: 2006
Subjects:
Online Access:http://eprints.um.edu.my/9057/1/Determination_of_damage_location_in_RC_beams_using_mode_shape_derivatives.pdf
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author Ismail, Z.
Abdul Razak, H.
Abdul Rahman, A.G.
author_facet Ismail, Z.
Abdul Razak, H.
Abdul Rahman, A.G.
author_sort Ismail, Z.
collection UM
description This paper describes the determination of the location of damage due to single cracks and due to honeycombs in RC beams using mode shape derivatives from modal testing. The cracks were induced by application of point loads at predetermined locations on the RC beams. The load was increased in stages to obtain different crack heights to simulate the extent and severity of damage. Experimental modal analysis was performed on the beams with cracks prior to and after each load cycle, on a control beam, and beams with honeycombs. The mode shapes and the eigenvectors were used to determine the location of damage. The indicator vertical bar lambda(4)vertical bar was obtained by rearranging the equation for free transverse vibration of a uniform beam, and applying the fourth order centered finite-divided difference formula to the regressed mode shape data. The equation is an eigenvalue problem, and the value of vertical bar lambda(4)vertical bar will be a constant. Differences in the values indicate stiffness change, and the affected region indicates the general area of damage. Analysis of results using vertical bar lambda(4)vertical bar was able to indicate the general region of damage, the exact location being around the center of the region. Curve fitting with Chebyshev series rationals onto the mode shape also highlighted points of high residuals around the region of damage. The proposed algorithm on the mode shape can form the basis of a technique for structural health monitoring of damaged reinforced concrete structures. (c) 2006 Elsevier Ltd. All rights reserved.
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spelling um.eprints-90572014-10-21T04:41:47Z http://eprints.um.edu.my/9057/ Determination of damage location in RC beams using mode shape derivatives Ismail, Z. Abdul Razak, H. Abdul Rahman, A.G. TA Engineering (General). Civil engineering (General) This paper describes the determination of the location of damage due to single cracks and due to honeycombs in RC beams using mode shape derivatives from modal testing. The cracks were induced by application of point loads at predetermined locations on the RC beams. The load was increased in stages to obtain different crack heights to simulate the extent and severity of damage. Experimental modal analysis was performed on the beams with cracks prior to and after each load cycle, on a control beam, and beams with honeycombs. The mode shapes and the eigenvectors were used to determine the location of damage. The indicator vertical bar lambda(4)vertical bar was obtained by rearranging the equation for free transverse vibration of a uniform beam, and applying the fourth order centered finite-divided difference formula to the regressed mode shape data. The equation is an eigenvalue problem, and the value of vertical bar lambda(4)vertical bar will be a constant. Differences in the values indicate stiffness change, and the affected region indicates the general area of damage. Analysis of results using vertical bar lambda(4)vertical bar was able to indicate the general region of damage, the exact location being around the center of the region. Curve fitting with Chebyshev series rationals onto the mode shape also highlighted points of high residuals around the region of damage. The proposed algorithm on the mode shape can form the basis of a technique for structural health monitoring of damaged reinforced concrete structures. (c) 2006 Elsevier Ltd. All rights reserved. 2006 Article PeerReviewed application/pdf en http://eprints.um.edu.my/9057/1/Determination_of_damage_location_in_RC_beams_using_mode_shape_derivatives.pdf Ismail, Z. and Abdul Razak, H. and Abdul Rahman, A.G. (2006) Determination of damage location in RC beams using mode shape derivatives. Engineering Structures, 28 (11). pp. 1566-1573. ISSN 0141-0296, DOI https://doi.org/10.1016/j.engstruct.2006.02.010 <https://doi.org/10.1016/j.engstruct.2006.02.010>. http://www.scopus.com/inward/record.url?eid=2-s2.0-33745946230&partnerID=40&md5=3a7288e604d9137bf737c2c4e8bf9381 http://www.sciencedirect.com/science/article/pii/S0141029606000794 http://ac.els-cdn.com/S0141029606000794/1-s2.0-S0141029606000794-main.pdf?t DOI 10.1016/j.engstruct.2006.02.010
spellingShingle TA Engineering (General). Civil engineering (General)
Ismail, Z.
Abdul Razak, H.
Abdul Rahman, A.G.
Determination of damage location in RC beams using mode shape derivatives
title Determination of damage location in RC beams using mode shape derivatives
title_full Determination of damage location in RC beams using mode shape derivatives
title_fullStr Determination of damage location in RC beams using mode shape derivatives
title_full_unstemmed Determination of damage location in RC beams using mode shape derivatives
title_short Determination of damage location in RC beams using mode shape derivatives
title_sort determination of damage location in rc beams using mode shape derivatives
topic TA Engineering (General). Civil engineering (General)
url http://eprints.um.edu.my/9057/1/Determination_of_damage_location_in_RC_beams_using_mode_shape_derivatives.pdf
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