Band Gaps in a Multiresonator Acoustic Metamaterial

TLDR

The study investigates the dispersion curves and band‑gap structure of a multiresonator mass‑in‑mass lattice system. The lattice unit cell consists of three masses connected by linear springs, and a microstructure continuum model was developed to represent the two‑resonator mass‑in‑mass system. Band gaps can be tuned by adjusting spring constants and internal masses, the effective mass becomes negative within the gaps, and the microstructure continuum model accurately reproduces the dispersive behavior and band‑gap structure.

Abstract

In this study, we investigated dispersion curves and the band gap structure of a multiresonator mass-in-mass lattice system. The unit cell of the lattice system consists of three separate masses connected by linear springs. It was demonstrated that the band gaps can be shifted by varying the spring constant and the magnitude of the internal masses. By using the conventional monatomic (single mass) lattice model as an equivalent system, the effective mass was found to become negative for frequencies in the band gaps. An attempt was made to represent the two-resonator mass-in-mass lattice with a microstructure continuum model. It was found that the microstructure continuum model can capture the dispersive behavior and band gap structure of the original two-resonator mass-in-mass system.