Parametric study on shape of two-dimensional acoustic black holes

Abstract

With the deployment of the passive damping in Acoustic Black Holes (ABH), the effectiveness of ABH in absorbing vibration are improved, as demonstrated in beam-plate structures. Apart from previous studies on the one dimensional ABH (by changing parameters such as the length, power-index of ABH thickness profile, and distribution of damping layer), this paper presents the study of the influence of the shape of a two-dimensional ABH on its absorptive performance. Keeping the area and amount of damping constant over the ABH region, different shapes of ABH embedded in the semi-infinitely long plate were simulated and studied using a finite element model. Dissipated power ratio (DPR) and root-mean-square velocity (RMSV) of the ABH region were measured to evaluate the ABH dissipative behaviors. Structural intensity was also used to visualize and analyze the flow of vibration energy in the system. These analyses of SI propose the correlation between the energy flow and the absorptive performances of ABH. This link between the energy flow and the shape of ABH provides a way to design an ABH for better absorption and dissipation of vibroacoustic energy in the system.With the deployment of the passive damping in Acoustic Black Holes (ABH), the effectiveness of ABH in absorbing vibration are improved, as demonstrated in beam-plate structures. Apart from previous studies on the one dimensional ABH (by changing parameters such as the length, power-index of ABH thickness profile, and distribution of damping layer), this paper presents the study of the influence of the shape of a two-dimensional ABH on its absorptive performance. Keeping the area and amount of damping constant over the ABH region, different shapes of ABH embedded in the semi-infinitely long plate were simulated and studied using a finite element model. Dissipated power ratio (DPR) and root-mean-square velocity (RMSV) of the ABH region were measured to evaluate the ABH dissipative behaviors. Structural intensity was also used to visualize and analyze the flow of vibration energy in the system. These analyses of SI propose the correlation between the energy flow and the absorptive performances of ABH. This l...