Numerical investigation of a linkage modelling technique for damage identification using FRF-based model updating

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Conference Proceeding
SHMII 2017 - 8th International Conference on Structural Health Monitoring of Intelligent Infrastructure, Proceedings, 2017, pp. 1243 - 1252
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© 2017 International Society for Structural Health Monitoring of Intelligent Infrastrucure. All rights reserved. This paper presents a novel method of identifying the location and severity of damage in a bridge component via model updating where the number of degrees of freedom (DOF) in the finite element (FE) model far exceeds the DOFs measured on a structure. First, the FE model is divided into partitions, each with a predefined Young's modulus. These Young's moduli are used as the updating parameters where the reduction in the Young's moduli is used to indicate damage. The mass and stiffness matrices of the FE model is reduced to a linkage model using the System Equivalent Reduction Expansion Process (SEREP). Then the measured DOFs of the bridge component is expanded to the DOF of the linkage model using the mass and stiffness matrices of the linkage model. Based on the expanded modal data, interpolated FRFs are synthesised and used to form the FRF sensitivity matrix, which is iteratively used to calculate the values of the updating parameters until convergence is achieved. The resulting Young's moduli are used to calculate the damage index for each partition of the FE model. The proposed method is explained and verified using a numerical study. This method has the potential to locate and quantify damage in a structure where sensor instrumentation is otherwise inadequate due to the limitation in sensor availability and access for sensor installation.
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