Abstract
This study aims at incorporating a certain degree of formalization to stabilization diagrams by integrating two additional features: the former introduces a new quantity, the modal dispersion metric, which expresses a certain part of the total stochastic vibration energy, and it is attributed to each vibration mode. The latter implements a polynomial chaos expansion framework for quantifying the effect of the operational conditions into the modal dispersion index. By combining these two features, a vibration mode is deemed as a structural one when it appears stabilized, i.e., comes with a high modal dispersion index and is operationally normalized. The proposed method is characterized by global applicability, thus also serving as a common measure of effectiveness among diverse parametric identification methods.
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Abbreviations
- DA:
-
Dispersion analysis
- DOF:
-
Degrees–of–freedom
- ERA:
-
Eigensystem realization algorithm
- N/S:
-
Noisetosignal
- LHS:
-
Latin hypercube sampling
- LTI:
-
Linear time–invariant
- MDM:
-
Modal dispersion metric
- nMDM:
-
Normalized modal dispersion metric
- PCE:
-
Polynomial chaos expansion
- PDF:
-
Probability density function
- SD(s):
-
Stabilization diagram(s)
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Dertimanis, V.K., Spiridonakos, M.D., Chatzi, E.N. (2015). Dispersion–Corrected, Operationally Normalized Stabilization Diagrams for Robust Structural Identification. In: Atamturktur, H., Moaveni, B., Papadimitriou, C., Schoenherr, T. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15224-0_8
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