Numerical Investigation on Vibro-Acoustic Characteristics of a Metamaterial Plate Under the Excitation of Turbulent Boundary Layer

Abstract Flow-induced vibration is an important noise source for mechanical transportation equipment. In recent years, metamaterials have emerged as a novel approach to mitigate vibration and noise, garnering extensive research and recognition. However, research into the behavior and control of metamaterials under flow-induced excitation remains insufficient. To address this issue, this paper proposed a stiffened metamaterial plate to investigate its control performance for flow-induced vibration and noise. An uncorrelated wall plane wave (UWPW) technique is utilized to convert the stochastic problem into a collection of determinate loading scenarios, which are solvable via the finite element method. The effectiveness of this method has been validated by comparing the results with those obtained from conventional analytical approaches. This method allows for a comprehensive prediction of the metamaterial plates’ reaction to the turbulent boundary layer excitation. The findings reveal that within its bandgap range, the metamaterial plate is highly effective in attenuating vibration and noise. The addition of stiffeners to the plate elevates its first natural frequency, thus diminishing the overall vibration noise response. This paper serves as a reference for controlling vibrations under flow-induced excitation.