Method for reconstructing random acoustic radiation from a plate under turbulent boundary layer excitation

This study presents a method for reconstructing the stochastic sound field radiated by a plate structure under the excitation of a turbulent boundary layer (TBL). In the case of a homogeneous sound field radiated by an infinite plate, the homogeneous stochastic sound field is reconstructed based on uncorrelated wall plane waves and a plane acoustic holography model. This method achieves an accurate reconstruction of the random sound field without known material property information of the plate structure. For the non-homogeneous sound field radiated by a simply supported plate, the stochastic sound field is decomposed into a superposition of structural acoustic responses under excitation by plane waves of various wavenumbers, achieving an accurate reconstruction of the random sound field. Numerical simulation results indicate that the reconstruction error can be reduced from 61.67% to 23.18% by applying wavenumber domain filtering to mitigate the effect of a 1.79% measurement error. The results represent the spatial distribution of the stochastic sound pressure field under TBL excitation, providing a theoretical basis for structural vibration damping, noise reduction, and non-contact vibration measurements under TBL excitation.