Efficient survival probability determination of nonlinear multi-degree-of-freedom oscillators with fractional derivatives and subject to non-stationary excitation

• Published in: Probabilistic engineering mechanics Vol. 81; p. 103801
• Main Authors: Duarte, João G.C.S., dos Santos, Ketson R.M.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.07.2025
• Subjects: Fokker–Planck equation; Fractional derivative; Statistical linearization; Stochastic averaging; Survival probability; Survival probability; Fokker–Planck equation; Stochastic averaging; Statistical linearization; Fractional derivative

Determining the survival probability of nonlinear dynamical systems subject to random excitation is a persistent challenge in engineering dynamics, and addressing this challenge requires efficient and accurate mathematical and numerical methodologies. To this end, we propose a semi-analytical techni...