Coupled multiresonators acoustic metamaterial for vibration suppression in civil engineering structures

Abstract

Metamaterials have created a unique structure with enhanced capabilities in comparison to naturally occurring materials. Vibration attenuation which is of paramount importance in civil and mechanical engineering structures is one of the applications derived from metamaterials. This paper describes a novel metamaterial consisting of a multiresonator mass-in-mass lattice system with inner masses coupled by a linear spring. To better understand the bandgap generation and wave attenuation zones, the dispersion relation is calculated using Bloch's theorem under the assumption of an infinite lattice. Results show that two additional bandgaps are formed compared to the conventional multiresonator lattice system. The roles played by the additional spring, and the ratio of the masses are investigated in this study. The accuracy of the proposed method is verified by the transmittance of the proposed finite model, and a parametric analysis is conducted to reveal the effect of various parameters on the bandgap performance. It is found that there is a good agreement between the infinite and finite models of the metamaterial. The present study is very helpful for the design and application of metamaterial in vibration isolation.

Keywords

• Multiresonator
• Bandgaps
• Vibration attenuation
• Metamaterial