An Euler–Monte Carlo algorithm assessing Moment Lyapunov Exponents for stochastic bridge flutter predictions

Wind-induced coupled flutter may lead to the collapse of cable-supported bridges. This study investigates several issues, associated with the assessment of bridge flutter. These include: influence of turbulence modeling, simulated by random perturbation to the span-wise correlation length of buffeting loads; effects of errors in the motion-induced or aeroelastic loads. The study makes use of random differential equations and numerically evaluates two-mode flutter by means of stochastic stability beyond mean squares through Moment Lyapunov Exponents. The development and implementation of a numerical algorithm are presented. Results, obtained for two simplified bridge examples, are discussed.

► We study several aspects, related to the analysis of two-mode bridge flutter.
► These are: influence of turbulence and effects of errors in aeroelastic loads.
► Stochastic calculus is used to analyze dynamic bridge stability.
► Stochastic stability and Moment Lyapunov Exponents are used.
► Development and implementation of a new numerical algorithm are presented.