Several system identification algorithms have been proposed that make use of analytical models and measured modal data to determine the location and/or extent of structural damage. In particular, the authors have proposed a computationally attractive Minimum Rank Perturbation Theory (MRPT) which determines perturbation matrices to the mass, damping, and/or stiffness matrices. Inspection of these perturbation matrices provides insight to both the location and extent of structural damage. This paper documents our practical experience in applying MRPT theory to a variety of structures. The ability to incorporate engineering insight and judgment into the algorithm is shown to enhance the performance of the MRPT technique when faced with real-world issues.
Structural Health Monitoring Using Vibration Measurements and Engineering Insight
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Zimmerman, D. C., Kaouk, M., and Simmermacher, T. (June 1, 1995). "Structural Health Monitoring Using Vibration Measurements and Engineering Insight." ASME. J. Mech. Des. June 1995; 117(B): 214–221. https://doi.org/10.1115/1.2836459
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