A numerical investigation on the vibration of a two-deck euler–bernoulli beam flooded by a potential flow.

This article focuses on the structural vibration analysis of a bladeless wind turbine (BWT), modeled as a two-deck Euler–Bernoulli beam interacting with a surrounding potential flow of water. The study develops and implements a coupled numerical scheme combining a finite difference method for beam deflection and a spectral method with time-dependent conformal mapping for fluid dynamics, including stochastic disturbances modeled by white noise via a Wiener process. Numerical experiments demonstrate that the beam's vibrational response to stochastic hydrodynamic loading exhibits Gaussian statistical characteristics, confirmed through Monte Carlo simulations and Kolmogorov–Smirnov hypothesis testing. These findings provide insights into the fluid–structure interaction of submerged beam-like structures under random environmental forces, with implications for offshore BWT design and structural safety assessment.