Low-Frequency Bandgaps of the Lightweight Single-Phase Acoustic Metamaterials with Locally Resonant Archimedean Spirals.

Haoqiang Gao,Qun Yan,Yongtao Sun,Ying Zhang,Jinxin Xu,Liang Wang,Xusheng Liu,Hao Yan,Qian Ding

doi:10.3390/ma15010373

Haoqiang Gao, Qun Yan + Show 7 more

Open Access

https://doi.org/10.3390/ma15010373

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Journal: Materials	Publication Date: Jan 5, 2022
Citations: 11	License type: CC BY 4.0

Affiliation: Tianjin University, Henan Polytechnic University

Abstract

In order to achieve the dual needs of single-phase vibration reduction and lightweight, a square honeycomb acoustic metamaterials with local resonant Archimedean spirals (SHAMLRAS) is proposed. The independent geometry parameters of SHAMLRAS structures are acquired by changing the spiral control equation. The mechanism of low-frequency bandgap generation and the directional attenuation mechanism of in-plane elastic waves are both explored through mode shapes, dispersion surfaces, and group velocities. Meanwhile, the effect of the spiral arrangement and the adjustment of the equation parameters on the width and position of the low-frequency bandgap are discussed separately. In addition, a rational period design of the SHAMLRAS plate structure is used to analyze the filtering performance with transmission loss experiments and numerical simulations. The results show that the design of acoustic metamaterials with multiple Archimedean spirals has good local resonance properties, and forms multiple low-frequency bandgaps below 500 Hz by reasonable parameter control. The spectrograms calculated from the excitation and response data of acceleration sensors are found to be in good agreement with the band structure. The work provides effective design ideas and a low-cost solution for low-frequency noise and vibration control in the aeronautic and astronautic industries.

Highlights

Lightweight periodic honeycomb materials (LPHM) are a typical kind of acoustic metamaterials [1,2,3,4,5,6]
Lightweight single-phase acoustic metamaterials with low-frequency bandgap properties are designed by combining a square honeycomb structure with multiple Archimedean spirals
The vibrational modes are discussed for the dispersion curves near the first three bandgaps at the boundary points of the irreducible Brillouin zone (IBZ)

Summary

Introduction

Lightweight periodic honeycomb materials (LPHM) are a typical kind of acoustic metamaterials [1,2,3,4,5,6]. In the above-mentioned, single-phase LPHM, the simultaneous advantages of lightweight efficiency and low-frequency bandgaps are realized, the low-frequency bandgaps are all larger than 500 Hz. Aiming at the challenging problem of vibration and noise reduction below 500 Hz for the single-phase LPHM, a new kind of local resonance single-phase lightweight periodic honeycomb materials, the square honeycomb acoustic metamaterials with locally resonant Archimedean spirals (SHAMLRAS) are proposed in this paper. The SHAMLRAS consists of Archimedean spirals of the same material combined in a square honeycomb structure These acoustic metamaterials with the introduction of Archimedean spirals have special resonance characteristics compared to existing single-phase acoustic metamaterials and have the capacity to form multiple bandgaps below 500 Hz (down to approximately 184.5 Hz) within a lattice size of 40 mm.

Mechanical Design

FE Modeling for the Free Wave Propagation

Dispersion Surfaces

Directional Propagation Property of Elastic Waves

Influence of Spiral Arrangeme5n00t on the Bandgap

Influence of Material Parameters on the Bandgap

Conclusions