Operator norm-based determination of failure probability of nonlinear oscillators with fractional derivative elements subject to imprecise stationary Gaussian loads

• Published in: Mechanical systems and signal processing Vol. 208; p. 111043
• Main Authors: Jerez, D.J., Fragkoulis, V.C., Ni, P., Mitseas, I.P., Valdebenito, M.A., Faes, M.G.R., Beer, M.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 15.02.2024
• Subjects: First-passage probability; Fractional derivative; Imprecise probabilities; Statistical linearization; Stochastic averaging; Uncertainty quantification; Uncertainty quantification; Imprecise probabilities; First-passage probability; Stochastic averaging; Statistical linearization; Fractional derivative

An approximate analytical technique is developed for bounding the first-passage probability of lightly damped nonlinear and hysteretic oscillators endowed with fractional derivative elements and subjected to imprecise stationary Gaussian loads. In particular, the statistical linearization and stocha...