Vibroacoustic mitigation for a cylindrical shell coupling with an acoustic black hole plate using Gaussian expansion component mode synthesis

In this paper, we consider a composite cylindrical shell having an internal thin plate. When some ABHs are embedded on the interior floor, the vibration of the cylindrical shell and the sound power radiated from it are expected to be effectively mitigated. To characterize the built-up system, the Gaussian expansion method (GEM) is employed to carry out the modal parameters of the shell and the plate, respectively, where mode truncation is possible for model order reduction. Then the Gaussian expansion component mode synthesis (GECMS) method is developed to describe the final modes of the whole system. The accuracy of the GECMS is validated against reference finite element simulations. To manifest the coupling between the components, the modal participation factors of the shell and the ABH plate are carried out. Furthermore, the sound radiation model for the cylindrical shell is built, together with the non-negative intensity strategy for sound source localization. Results show that the vibration and the sound power level of the shell can be remarkably suppressed, thanks to the exceptional damping effect of the ABHs, especially when the excitation force locates on the ABH plate. The present study is dedicated to pushing the applications of the ABHs.