Vibro-acoustic modeling and energy transmission analysis of a panel-cavity system embedded with an acoustic black hole

The noise radiated from a vibrating panel into an acoustical cavity is a problem widely encountered in various engineering branches. As a novel vibration and noise control means, Acoustic Black Hole (ABH) is attracting more and more research attention, and a deep understanding on the coupling mechanism between ABH panel and cavity is of fundamental significance for the efficient design and application in such occasions. In this study, a semi-analytical vibro-acoustic coupling model of the coupled ABH panel-cavity system consisting of an ABH plate and a rectangular cavity is established, in which the two-dimensional and three-dimensional modified Fourier series are chosen as the admissible functions for the flexural vibration of the ABH plate and the sound pressure distribution function in the acoustical cavity, respectively. Through the Rayleigh-Ritz procedure, the modal characteristics and dynamic behavior of the coupling system are solved. First, the accuracy of the proposed model is validated against those calculated from finite element analysis. Then, through the comparison with its uniform counterpart, the introduction of the ABH structure in the coupled panel-cavity system can reduce the noise inside the enclosure. Furthermore, the energy transmission behavior between the ABH plate and the cavity is investigated via the sound intensity vector distribution over the coupling interface. Meanwhile, the noise reduction mechanism of the coupling system is studied from an energy transmission perspective. Finally, the accuracy of the proposed model was verified by the experiment.