Low frequency and broadband vibration attenuation of a novel lightweight bidirectional re-entrant lattice metamaterial

• A novel lightweight bidirectional re-entrant lattice metamaterial is proposed. • Band structures of the BRLM is calculated by the finite element method and Bloch’s theorem. • The effects of geometrical parameters on the band structures are investigated. Lattice metamaterials have a great prospect in many application fields such as vibration control, noise reduction and sound insulation. In this work, a novel lightweight bidirectional re-entrant lattice metamaterial (BRLM) is proposed based on the square lattice metamaterial. Band structures of the BRLM are calculated through the finite element method and Bloch’s theorem. The simulation results show that the broad bandgaps in the low frequency range are generated by rationally changing the geometrical parameters. The effects of geometrical parameters on the band structures, formation mechanics of the first bandgap and total effective bandgap width are investigated. The influence of damping on the transmission loss and bandgap distribution is also studied.