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8 April 2010 A structural transmissibility measurements-based approach for system damage detection
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The transmissibility between two response measurements is a widely-used feature for damage detection and localization in vibration-based, structural health monitoring applications. In this paper, we investigate two features computed from transmissibility measurement changes to quantify connection stiffness loss: root-mean-square error and dot-product difference. In real practice, noise contaminates the measurements, and this noise can lead to reduced sensitivity in the transmissibility as a damage-sensitive feature and increase false-positive (Type-I) errors. This work establishes a model to investigate the effect of noise and establishes statistical confidence limits on the transmissibility estimate. We make the assumption that the system is stationary, the signal channels are optimized, and the signal-to-noise ratios are balanced. The analytical expressions of the biased error and variation are given in terms of coherence estimation, and the confidence bounds of the transmissibility with corresponding level of confidence are estimated.
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Zhu Mao and Michael Todd "A structural transmissibility measurements-based approach for system damage detection", Proc. SPIE 7650, Health Monitoring of Structural and Biological Systems 2010, 76500G (8 April 2010);

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