TY - GEN
T1 - A reduced-order model for interval analysis in linear dynamical systems
AU - Manque, N. A.
AU - Valdebenito, M. A.
AU - Moens, D.
AU - Faes, M. G.R.
N1 - Publisher Copyright:
© 2024 Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics. All rights reserved.
PY - 2024
Y1 - 2024
N2 - Information about properties of linear dynamical systems is often unavailable as precise values. Instead, their characterization may be affected by imprecision, vagueness, ambiguity, or even incompleteness. In such a case, the system and its response are affected by epistemic uncertainty. To address this uncertainty, set-based methods such as interval analysis have been considered. Nevertheless, the associated numerical costs may increase considerably when interval methods are used. In the case of dynamical systems, this numerical cost arises, for example, from the need for repeated eigenvalue/eigenvector analyses. In light of this challenge, this paper proposes a framework for performing interval analysis for problems of linear elastic dynamics, considering a Reduced-Order Model (ROM). This ROM projects the dynamic equilibrium equations into a small-dimensional basis. This basis consists of a subset of the normalized modal shapes of the system obtained for crisp reference values associated with the interval quantities. The proposed strategy is tested in a truss structure.
AB - Information about properties of linear dynamical systems is often unavailable as precise values. Instead, their characterization may be affected by imprecision, vagueness, ambiguity, or even incompleteness. In such a case, the system and its response are affected by epistemic uncertainty. To address this uncertainty, set-based methods such as interval analysis have been considered. Nevertheless, the associated numerical costs may increase considerably when interval methods are used. In the case of dynamical systems, this numerical cost arises, for example, from the need for repeated eigenvalue/eigenvector analyses. In light of this challenge, this paper proposes a framework for performing interval analysis for problems of linear elastic dynamics, considering a Reduced-Order Model (ROM). This ROM projects the dynamic equilibrium equations into a small-dimensional basis. This basis consists of a subset of the normalized modal shapes of the system obtained for crisp reference values associated with the interval quantities. The proposed strategy is tested in a truss structure.
UR - http://www.scopus.com/inward/record.url?scp=85212180623&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85212180623
T3 - Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics
SP - 4482
EP - 4489
BT - Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics
A2 - Desmet, W.
A2 - Pluymers, B.
A2 - Moens, D.
A2 - del Fresno Zarza, J.
PB - KU Leuven, Departement Werktuigkunde
T2 - 31st International Conference on Noise and Vibration Engineering, ISMA 2024 and 10th International Conference on Uncertainty in Structural Dynamics, USD 2024
Y2 - 9 September 2024 through 11 September 2024
ER -