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Conference Papers Year : 2022

Uncertainty propagation in subspace methods for operational modal analysis under misspecified model orders

Abstract

The quantification of statistical uncertainty in modal parameter estimates has become a standard tool, used in applications to, e.g., damage diagnosis, reliability analysis, modal tracking and model calibration. Although efficient multi-order algorithms to obtain the (co)variance of the modal parameter estimates with subspace methods have been proposed in the past, the effect of a misspecified model order on the uncertainty estimates has not been investigated. In fact, the covariance estimates may be inaccurate due to the presence of small singular values in the supposed signal space. In this paper we go back to the roots of the uncertainty propagation in subspace methods and revise it to account for the case when a part of the noise space is erroneously added to the signal space. What is more, the proposed scheme adapts a different approach for the sensitivity analysis of the signal space, which improves the numerical efficiency. The performance is illustrated on an extensive Monte Carlo simulation of a simple mechanical system and applied to real data from a bridge.
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Dates and versions

hal-03784395 , version 1 (23-09-2022)

Identifiers

  • HAL Id : hal-03784395 , version 1

Cite

Szymon Gres, Michael Döhler. Uncertainty propagation in subspace methods for operational modal analysis under misspecified model orders. ISMA 2022 - International Conference on Noise and Vibration Engineering, Sep 2022, Leuven, Belgium. pp.1-12. ⟨hal-03784395⟩
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