Fayyadh, M.M. and Razak, H.A.
(2011)
*Modified damage location indices in beam-like structure: Analytical study.*
Scientific Research and Essays, 6 (32).
pp. 6605-6621.
ISSN 19922248,
DOI https://doi.org/10.5897/sre11.560.

## Abstract

Proposed modifications to two existing algorithms, based on mode shape, for locating of damage in a beam like structure model are presented in this paper. The Curvature Damage Factor (CDF) developed by Wahab and Roeck (1999) computes the change in mode shape curvature between two sets of mode vectors, i.e. undamaged and damaged conditions. The local stiffness indicator (LSI) was developed by Ismail and Abdul Razak (2006) and based on the fourth derivative of the mode shape. The proposed modifications to the mathematical form of the original algorithms aim to improve its sensitivity and overcome its drawback. In order to verify the suitability and necessity for implementing the modification to the existing algorithms, eigenvalue analyses on a finite element model of a beam-like structure model were carried out and the eigenvectors for different cases were obtained. The proposed modified forms of the algorithms exhibited better sensitivity for detecting damage location in addition to the anomalies at the supports being eliminated. The modified algorithms are able to detect the damage wherever its location, applying even to cases of multi damage locations. It is also concluded that the modified algorithms have the sensitivity to detect the damage regardless of its severity. Moreover, procedures for elimination of anomalies have been proposed. The first procedure is based on eliminating the algorithms values at the degrees of freedom which match the nodes along the beam length and it has been applied to all the data presented in this paper. The second procedure is based on eliminating the damage algorithm's values at the supports and this has been applied to the original form of the LSI. Finally, statistical anomalies elimination (SAE) procedure has been proposed and applied to the cases of anomalies along the entire beam length. The SAE elimination procedure has helped to improve the sensitivity by suppressing the anomalies along the beam length.

Item Type: | Article |
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Funders: | UNSPECIFIED |

Additional Information: | Cited By (since 1996):1 Export Date: 16 December 2013 Source: Scopus Language of Original Document: English Correspondence Address: Fayyadh, M. M.; Department of Civil Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia; email: moatasem.m.f@gmail.com References: Choi, F.C., Li, J., Samali, B., Crews, K., Application of the Modified Index Method to Timber Beams (2008) J. Eng. Struct., 30, pp. 1124-1145; Dutta, A., Talukdar, S., Damage Detection in Bridges Using Accurate Modal Parameters (2004) J. Finite Element Anal. Design., 40, pp. 287-304; Fayyadh, M.M., Abdul, R.H., The Effect of Support Condition on Dynamic Parameters (2010) The 17th international congress on sound and vibration. Cairo Egypt; Fayyadh, M.M., Abdul, R.H., Khalil, O.R., Differential Effects of Support Conditions on Dynamic Parameters (2011) The Twelfth East Asia-Pacific Conference on Structural Engineering and Construction. Procedia Engineering, 14 (2011), pp. 177-184; Fayyadh, M.M., Abdul Razak, H., Stiffness Reduction Index for Detection of Damage Location: Analytical Study (2011) Int. J. Phys. Sci., 6 (9), pp. 2194-2204; Fayyadh, M.M., Abdul Razak, H., Ismail, Z., Combined modal parameters-based algorithm for damage identification in a beamlike structure: Theoretical development and verification (2011) Arch. Civil Mech. Eng., 11 (3), pp. 587-609; Ismail, Z., Abdul Razak, H., Determination of Damage Location In R.C. Beams Using Mode Shape Derivatives (2006) J. Eng. Struct., 28, pp. 1566-1573; Johan, M., Damage Assessment of Civil Engineering Structures by Vibration Monitoring (2003) Katholieke University Leuven, Faculteit toegepaste Wetenschappen, , Arenbergkastell, B-3001 Heverlee (Belgium), ISBN 90-5682-390-6; Kim, J.T., Park, J.H., Hong, D.S., Park, W.S., Hybrid health monitoring of prestressed concrete girder bridges by sequential vibration-impedance approaches (2010) Eng. Struct., 32 (1), pp. 115-128; Kopsaftopoulos, F.P., Fassois, S.D., Vibration based health monitoring for a lightweight truss structure: Experimental assessment of several statistical time series methods (2010) Mech. Syst. Signal Process, 24, pp. 1977-1997; Law, S.S., Lu, Z.R., Crack Identification in Beam from Dynamic Response (2005) J. Sound Vib., 285, pp. 967-987; Pandey, A.K., Biswas, M., Samman, M.M., Damage Detection from Change in Curvature Mode Shapes (1991) J. Sound Vib., 145 (2), pp. 321-332; Perera, R., Huerta, C., Orquin, J.M., Identification of damage in RC beams using index based on local modal stiffness (2008) Construct. Build. Mater., 22, pp. 1659-1667; Ratcliffe, C.P., Damage Detection Using a Modified Laplacian Operator on Mode Shape Data (1997) J. Sound Vib., 204 (3), pp. 505-517; RodrÃguez, R., Escobar, J.A., GÃ³mez, R., Damage detection in instrumented structures without baseline modal parameters (2010) Eng. Struct., 32 (6), pp. 1715-1722; Stubbs, N., Kim, J., Field Verification of Non Destructive Damage Localization and Severity Estimation Algorithm (1995) Processing of the 13 thint. modal anal. conf., pp. 210-218; Wahab, M.M.A., Roeck, G.D., Damage Detection in Bridges Using Modal curvature: Application to a Real Damage Scenario (1999) J. Sound and Vib., 226, pp. 217-235; Yan, G., Duan, Z., Ou, J., De Stefano, A., Structural damage detection using residual forces based on wavelet transform (2010) Mech. Syst. Signal Process, 24 (1), pp. 224-239 |

Uncontrolled Keywords: | Curvature damage factor, Local stiffness indicator, Modified curvature damage factor, Modified local stiffness indicator, Statistical anomalies elimination |

Subjects: | T Technology > TA Engineering (General). Civil engineering (General) |

Divisions: | Faculty of Engineering |

Depositing User: | Mr Jenal S |

Date Deposited: | 24 Jan 2014 15:25 |

Last Modified: | 21 Dec 2014 09:33 |

URI: | http://eprints.um.edu.my/id/eprint/9044 |

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