A multivariate interval approach for inverse uncertainty quantification with limited experimental data. (1st March 2019)

• Record Type: Journal Article
• Authors: Faes, Matthias; Broggi, Matteo; Patelli, Edoardo; Govers, Yves; Mottershead, John; Beer, Michael; Moens, David
• Is Part Of: Mechanical systems and signal processing. Volume 118(2019)
• Page Start: 534
• Page End: 548
• Publication Date: 2019-03-01
• Subjects: Multivariate interval uncertainty -- Uncertainty quantification -- DLR-AIRMOD -- Bayesian model updating -- Limited data; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2018.08.050
• Languages: English
• ISSNs: 0888-3270

Abstract

Highlights: Novel method for inverse quantification of parameter uncertainty. Robust and accurate under scarce data. Objective comparison with posteriors from Bayesian data. Applicability of both methods depends on information requirement and data availability. Abstract: This paper introduces an improved version of a novel inverse approach for the quantification of multivariate interval uncertainty for high dimensional models under scarce data availability. Furthermore, a conceptual and practical comparison of the method with the well-established probabilistic framework of Bayesian model updating via Transitional Markov Chain Monte Carlo is presented in the context of the DLR-AIRMOD test structure. First, it is shown that the proposed improvements of the inverse method alleviate the curse of dimensionality of the method with a factor up to 10 5 . Furthermore, the comparison with the Bayesian results revealed that the selection ofthe most appropriate method depends largely on the desired information and availability of data. In case large amounts of data are available, and/or the analyst desires full (joint)-probabilistic descriptors of the model parameter uncertainty, the Bayesian method is shown to be the most performing. On the other hand however, when such descriptors are not needed (e.g., for worst-case analysis), and only scarce data are available, the interval method is shown to deliver more objective and robust bounds on the uncertain parameters. Finally, also suggestions to aid the analyst in selecting the most appropriate method for inverse uncertainty quantification are given.