TY - GEN
T1 - Bounding the first excursion probability of stochastic oscillators under randomness and imprecision
AU - Faes, M. G.R.
AU - Fina, M.
AU - Lauff, C.
AU - Valdebenito, M. A.
AU - Wagner, W.
AU - Freitag, S.
N1 - Publisher Copyright:
© 2022 Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics. All rights reserved.
PY - 2022
Y1 - 2022
N2 - In this paper, we propose a method to bound the first excursion probability of uncertain linear systems subjected to Gaussian loading. Specifically, a case is considered, where the structural behaviour is affected by both interval and random variables. Further, the structure is subjected to a Gaussian stochastic process load, and it is of interest to estimate the bounds on the corresponding first excursion probability. To solve this kind of problem, an extension to the recently developed operator norm framework is proposed. This approach becomes applicable to oscillators that are described by random quantities. Specifically, this is obtained by representing the parametric dependency of the oscillator's system matrices to the random quantities by means of a first-order Taylor series expansion. A case study of a three-story concrete frame subjected to a stochastic wind load is included in the paper to illustrate the functionality and efficiency of the approach.
AB - In this paper, we propose a method to bound the first excursion probability of uncertain linear systems subjected to Gaussian loading. Specifically, a case is considered, where the structural behaviour is affected by both interval and random variables. Further, the structure is subjected to a Gaussian stochastic process load, and it is of interest to estimate the bounds on the corresponding first excursion probability. To solve this kind of problem, an extension to the recently developed operator norm framework is proposed. This approach becomes applicable to oscillators that are described by random quantities. Specifically, this is obtained by representing the parametric dependency of the oscillator's system matrices to the random quantities by means of a first-order Taylor series expansion. A case study of a three-story concrete frame subjected to a stochastic wind load is included in the paper to illustrate the functionality and efficiency of the approach.
UR - http://www.scopus.com/inward/record.url?scp=85195905760&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85195905760
T3 - Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics
SP - 4716
EP - 4722
BT - Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics
A2 - Desmet, W.
A2 - Pluymers, B.
A2 - Moens, D.
A2 - Neeckx, S.
PB - KU Leuven, Departement Werktuigkunde
T2 - 30th International Conference on Noise and Vibration Engineering, ISMA 2022 and 9th International Conference on Uncertainty in Structural Dynamics, USD 2022
Y2 - 12 September 2022 through 14 September 2022
ER -