Coupled aeroelastic analysis of a panel in supersonic flow with add-on acoustic black hole

Abstract

This study introduces a novel approach for coupled aeroelastic analysis of panel subjected to supersonic airflow, utilizing Add-On Acoustic Black Hole (AABH) to mitigate panel flutter. Employing Galerkin’s method to discretize aeroelastic equation of panel and leveraging finite element method to derive a reduced discrete model of AABH, this study effectively couples two substructures via interface displacement. Investigation into the interactive force highlights the modal effective mass, frequency discrepancy between oscillation and AABH mode, and modal damping ratio as critical factors influencing individual AABH mode in flutter suppression. The selection of effective AABH modes, closely linked to these factors, directly influences the accuracy of simulations. The results reveal that AABH notably enhances the panel’s critical flutter boundary by 14.6%, a significant improvement over the 3.6% increase afforded by equivalent mass. Furthermore, AABH outperforms both the tuned mass damper and nonlinear energy sink in flutter suppression efficacy. By adjusting the AABH’s geometrical parameters to increase the accumulative modal effective mass within the pertinent frequency range, or choosing a suitable installation position for AABH, its performance in flutter suppression is further optimized. These findings not only underscore the AABH’s potential in enhancing aeroelastic stability but also provide a foundation for its optimal design.