Abstract
The plate embedded with acoustic black hole (ABH) indentations is potential for structural vibration and noise control. This work focuses on the mid- and low-frequency performance of plates embedded with the array of ABH for energy focalization and vibration and noise suppression. Plates embedded with two-dimensional ABHs are modelled with detailed Finite Element models, and the power flow method is introduced to analyze the energy propagation characteristics arising from the ABH effect. Then, the distribution of average vibration power density along the ABH radius is studied. Next, the energy dissipation effects of the plate model embedded with the ABH array with two types of damping layers are investigated. Finally, the sound pressure levels of the ABH structure are calculated and discussed. This work is helpful to understand the characteristics of plates embedded with the ABH array in reducing vibration and noise radiation. Results show that the ABH array can realize more than 100 times energy focalization effect at some frequencies, which indicates a potential in vibration and noise control when coupled with damping materials.
Highlights
Embedded in a Plate on Its EnergyThere is an increasing need for advanced lightweight and high vibration reduction structures for a wide variety of applications [1]
As the boundary condition is changed, the frequency corresponding to the first peak is lower than that with BC 1 and the frequency corresponding to the second peak value is higher than that with BC 1, which means that boundary condition can influence the energy distribution in the frequency domain
The energy focalization characteristics of the acoustic black hole (ABH) structure can be used to achieve effective energy dissipation by using relatively small damping layers, and the dissipation effect of uniform damping layers is better than power-law profile thickness damping layers in this case
Summary
There is an increasing need for advanced lightweight and high vibration reduction structures for a wide variety of applications [1]. O’Boy and Krylov et al [10,11] used the exact solution of the corresponding flexural wave equation to analyze the frequency response for circular and rectangular plates with and without ABH They found that, despite the imperfect thickness profile, two-dimensional ABH structures with appropriate damping layers can absorb a substantial amount of wave energy [9,10,11]. The overall goal of this work was to develop detailed results for the energy propagation and focalization effects of the ABH plate, to investigate the energy distribution of the high-energy density areas of the individual ABH cell of the array, to study the influence of damping materials and plate boundary conditions on energy propagation, and to explore the sound radiation performance of the plate embedded with the ABH array. This work has potential for solving the contradiction between vibration suppression and automobile lightweight, which can provide a reference for body panel design
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