12. Root mean square error criterion using operational deflection shape curvature for structural damage detection

Ali Bakhshizade1, Mohammad Reza Ashory2

1Department of Mechanical Engineering, Roshdedanesh Institute of Higher Education, Semnan, Iran

2Modal Analysis Lab, School of Mechanical Engineering, Semnan University, Semnan, Iran

1Corresponding author

E-mail: 1alimrm2000@gmail.com, 2mashoori@semnan.ac.ir

(Received 17 September 2015; accepted 18 October 2015)

Abstract. Detection of structural damages using the vibration test data has been investigated by many researchers in the last decades. Identification of the defect in the early stages can prevent the unpredicted failure of structure. For beam-like structures, curvature techniques, e.g., mode shape curvature and flexibility curvature have been applied to localize the damage. In this paper, root mean square error using operational deflection shape curvature is used for damage detection. Differential Quadrature Method (DQM) is implemented to obtain the curvatures of the operational deflection shape. To demonstrate the effectiveness of method, the finite element model of a cantilever beam is used. The model is excited and the responses are measured in the simulated test. Enhanced frequency domain decomposition (EFDD) is used to extract the modal parameters. Also Mass change method is used to scale the mode shapes through which the scaled ODS parameters are computed. Using the RMSE the location of the damage is identified. The results show that this approach is more effective than the previous methods

Keywords: operational deflection shape, differential quadrature, RMSE.

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Cite this article

Bakhshizade Ali, Ashory Mohammad Reza Root mean square error criterion using operational deflection shape curvature for structural damage detection. Mathematical Models in Engineering, Vol. 1, Issue 2, 2015, p. 96‑101.

 

Mathematical Models in Engineering. December 2015, Volume 1, Issue 2

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