Three-dimensional vibro-acoustic modeling for the prediction of flow-induced noise in curved thick plate-cavity systems

Predicting the flow-induced interior noise of curved thick plate-cavity systems presents theoretical and computational challenges. Classical thin-shell models may become insufficient when the thickness-to-radius ratio is no longer negligible, and evaluating the vibro-acoustic response under stochastic turbulent boundary layer (TBL) excitation requires computing oscillatory quadruple spatial integrals, leading to high computational burdens. To address these issues, this study establishes a three-dimensional vibro-acoustic framework based on 3D elasticity theory and the Rayleigh-Ritz method, utilizing Chebyshev polynomials and artificial boundary springs to accommodate general elastic restraints. A comparison with a Donnell shell formulation is also included to examine the influence of finite-thickness modeling. To overcome the computational bottleneck associated with the TBL excitation, an effective computation strategy is proposed. By separating the modal shape correlation function and truncating the integration region, this method reduces the computational costs while preserving the resolution of convective hydrodynamic loads. Parameter analyses reveal that boundary stiffness governs a fundamental transition in the dominant boundary motion from sliding to bending. Furthermore, 3D stress analysis shows that increased plate thickness enhances the intrinsic wavenumber filtering effect, resulting in stronger through-thickness attenuation of the convective turbulent loads compared with transmitted acoustic plane waves.