Details
| Original language | English |
|---|---|
| Article number | 062005 |
| Journal | Journal of Physics: Conference Series |
| Volume | 2647 |
| Issue number | 6 |
| Publication status | Published - 2024 |
| Event | 12th International Conference on Structural Dynamics, EURODYN 2023 - Delft, Netherlands Duration: 2 Jul 2023 → 5 Jul 2023 |
Abstract
In this paper, an approach for bounding the first-passage probability of a class of nonlinear oscillators with fractional derivative elements and subjected to imprecise stationary Gaussian loads is presented. Specifically, the statistical linearization and stochastic averaging methodologies are used in conjunction with an operator norm-based solution framework to estimate the bounds of the failure probability in a fully decoupled manner. The proposed technique can treat a wide range of nonlinear and hysteretic behaviors with relatively low computational cost. A numerical example is considered to demonstrate the applicability of the proposed approach. Specifically, the bounds of the first-passage probability of a bilinear hysteretic oscillator with fractional derivative elements are estimated.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics: Conference Series, Vol. 2647, No. 6, 062005, 2024.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Probability of failure of nonlinear oscillators with fractional derivative elements subject to imprecise Gaussian loads
AU - Ni, P.
AU - Jerez, D. J.
AU - Fragkoulis, V. C.
AU - Mitseas, I. P.
AU - Faes, M. G.R.
AU - Valdebenito, M. A.
AU - Beer, M.
N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.
PY - 2024
Y1 - 2024
N2 - In this paper, an approach for bounding the first-passage probability of a class of nonlinear oscillators with fractional derivative elements and subjected to imprecise stationary Gaussian loads is presented. Specifically, the statistical linearization and stochastic averaging methodologies are used in conjunction with an operator norm-based solution framework to estimate the bounds of the failure probability in a fully decoupled manner. The proposed technique can treat a wide range of nonlinear and hysteretic behaviors with relatively low computational cost. A numerical example is considered to demonstrate the applicability of the proposed approach. Specifically, the bounds of the first-passage probability of a bilinear hysteretic oscillator with fractional derivative elements are estimated.
AB - In this paper, an approach for bounding the first-passage probability of a class of nonlinear oscillators with fractional derivative elements and subjected to imprecise stationary Gaussian loads is presented. Specifically, the statistical linearization and stochastic averaging methodologies are used in conjunction with an operator norm-based solution framework to estimate the bounds of the failure probability in a fully decoupled manner. The proposed technique can treat a wide range of nonlinear and hysteretic behaviors with relatively low computational cost. A numerical example is considered to demonstrate the applicability of the proposed approach. Specifically, the bounds of the first-passage probability of a bilinear hysteretic oscillator with fractional derivative elements are estimated.
UR - http://www.scopus.com/inward/record.url?scp=85198030173&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/2647/6/062005
DO - 10.1088/1742-6596/2647/6/062005
M3 - Conference article
AN - SCOPUS:85198030173
VL - 2647
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 6
M1 - 062005
T2 - 12th International Conference on Structural Dynamics, EURODYN 2023
Y2 - 2 July 2023 through 5 July 2023
ER -