Bounding imprecise failure probabilities in structural mechanics based on maximum standard deviation
Fina
M
author
Lauff
C
author
Faes
M
G
R
author
Valdebenito
M
A
author
Wagner
W
author
Freitag
S
author
2023
This paper proposes a framework to calculate the bounds on failure probability of linear structural systems whose performance is affected by both random variables and interval variables. This kind of problems is known to be very challenging, as it demands coping with aleatoric and epistemic uncertainty explicitly. Inspired by the framework of the operator norm theorem, it is proposed to consider the maximum standard deviation of the structural response as a proxy for detecting the crisp values of the interval parameters, which yield the bounds of the failure probability. The scope of application of the proposed approach comprises linear structural systems, whose properties may be affected by both aleatoric and epistemic uncertainty and that are subjected to (possibly imprecise) Gaussian loading. Numerical examples indicate that the application of such proxy leads to substantial numerical advantages when compared to a traditional double-loop approach for coping with imprecise failure probabilities. In fact, the proposed framework allows to decouple the propagation of aleatoric and epistemic uncertainty.
Linear structures
Gaussian loading
Standard deviation
Failure probability
Aleatoric uncertainty
Epistemic uncertainty
WOS:000899856800006
exported from refbase (show.php?record=1712), last updated on Thu, 26 Jan 2023 12:10:09 -0300
text
10.1016/j.strusafe.2022.102293
Fina_etal2023
Structural Safety
Struct. Saf.
2023
continuing
periodical
academic journal
101
102293
0167-4730