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Proceedings 2018, 2(8), 519; https://doi.org/10.3390/ICEM18-05391

Efficient Use of the Output Information to Improve Modal Parameter Estimation

1
Mechanical Engineering Department, Vrije Universiteit Brussel, Acoustics and Vibration Research Group, B-1050 Brussels, Belgium
2
Mechanical Design Engineering Department, Helwan University, Cairo 11790, Egypt
Presented at the 18th International Conference on Experimental Mechanics (ICEM18), Brussels, Belgium, 1–5 July 2018.
*
Author to whom correspondence should be addressed.
Published: 26 June 2018
PDF [417 KB, uploaded 19 July 2018]

Abstract

In modal identification, the value of the model parameters and the associated uncertainty depends on the quality of the measurements. The maximum likelihood estimator (mle) is a consistent and efficient estimator. This means that the value of the parameters trends asymptotically close to the true value, while the variance of such parameters is the lowest possible with the associated data. The mle implementation and application can be complex and generally need strong computational requirements. In applications where the number of inputs and outputs are elevated (as in modal analysis) is common to reduce the covariance matrix to a diagonal one where only the variances are considered. This implementation is still consistent but not efficient. However, it generates acceptable results. The current work shows that using efficiently the output information as complement to the input–output relations, it is possible to improve the model identification reaching similar levels than the mle, while reducing the execution time and the computational load.
Keywords: modal parameters estimation; maximum likelihood estimator; output–output relations modal parameters estimation; maximum likelihood estimator; output–output relations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Olarte, O.; El-Kafafy, M.; Guillaume, P. Efficient Use of the Output Information to Improve Modal Parameter Estimation. Proceedings 2018, 2, 519.

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