A Very Efficient Method to Estimate Statistics in the Spectral Domain: Application to the Aero- and Hydro-Elastic Responses of a Floating Bridge

This chapter presents a very efficient method to perform the spectral analysis of structures subjected to both wind and wave loadings at second order. It hinges on a framework called the Multiple Timescale Spectral Analysis, which generalizes the Background/Resonant decomposition. It offers therefore a quick way to estimate the variances and the covariances of modal responses, with a small but controllable discrepancy. This method also helps to better understand the behavior of the structure at stake as it shows how the statistics of the modal responses are distributed between the background, the resonant and the inertial regimes.