Local resonance – Helmholtz lattices with simultaneous solid-borne elastic waves and air-borne sound waves attenuation performance

Abstract Traditional metamaterial designs can only be applied to a single medium, such as air or resin. Inspired by the local resonators and Helmholtz resonators, a novel configuration called the local resonance – Helmholtz (LRH) lattices is proposed in this paper. This metamaterial is designed to suppress the propagation of both solid-borne and air-borne sound waves simultaneously. Numerical simulations are adopted to obtain the dispersion curves, transmission characteristics, and mechanical properties. The experimental samples are fabricated through the stereo lithography appearance (SLA)-based 3D-printing technology to test the actual vibration isolation and sound insulation performances. The results show that both mechanical vibrations and air sound waves are attenuated, meaning the concept of LRH lattices is feasible. The proposed metamaterial provides new possibilities for the design of advanced material with simultaneous sound and vibration attenuation performances.