Perfect low-frequency sound absorption of rough neck embedded Helmholtz resonators

Abstract

In this paper, an acoustic metamaterial, composed of rough neck embedded Helmholtz resonators, is proposed to achieve perfect sound absorption in the low-frequency range. The wall shape of the embedded neck in Helmholtz resonators can be adjusted to improve the low-frequency sound absorption performance of acoustic metamaterials. As a concern, a full-rough neck embedded Helmholtz resonator (FR-NEHR) is designed, which achieves perfect sound absorption (α>0.999) with a deep subwavelength thickness (λ/44) at 150 Hz. A theoretical model is developed to predict the performance of the FR-NEHR, which is validated against the experimental measurement and numerical simulation. The results show that for the rough embedded neck, when the axial and circumferential roughness of the neck exist, the sound energy dissipation increases not only in the neck but also in the air cavity. As a result, the acoustic absorption peak value of the FR-NEHR increases 20.2%, and the peak position shifts 20.2% to a lower frequency. This work extends Maa's 50-year-old sound absorption theory from smooth channels to full-rough channels, further developing the traditional channel sound absorption theory. It provides useful guidance for the structural design of broadband low-frequency sound-absorbing metamaterials.