Engineering Mechanics

Proceedings Vol. 31 (2025)

ENGINEERING MECHANICS 2025

Copyright © 2025 Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague

 

Náprstek J., Fischer C.
pages 137 - 140, full text

Stochastic resonance is a phenomenon observed in nonlinear dynamical systems with bistable behavior under combined deterministic and stochastic excitation. In its classical form, it is modeled using a Duffing-type oscillator subjected to harmonic forcing and additive white noise, resulting in noise-assisted transitions between stable states. This study investigates numerical methods for capturing transient effects related to stochastic resonance in the context of aeroelastic post-critical behavior, with a focus on a prismatic beam exposed to cross air flow. Motivated by wind tunnel observations, stochastic resonance is explored as a theoretical framework for modeling complex aeroelastic responses in bridge decks. Two computational approaches are employed: direct stochastic simulation using Monte Carlo methods, and numerical solution of the associated Fokker–Planck equation using the method of lines. The results highlight the capability of these methods to reproduce resonance-driven switching and demonstrate their potential for predicting transient aeroelastic responses relevant to the stability of slender structures under aerodynamic loading.

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