An inertial amplification metamaterial plate coupled with local resonant for low-frequency vibration attenuation

In order to effectively attenuate the low-frequency broadband vibration of the plate, this paper proposes a new metamaterial plate with elastic levers attached to the plate. The inertial amplification(IA) mechanism of the lever amplifying the motion of a small mass is coupled with the local resonant(LR) mechanism formed by the vibration of the elastic rod and the mass to achieve low-frequency broadband vibration attenuation. At the same time, the layout of the four levers is centrally symmetrical to eliminate the directionality of the band gap(BG). The low-frequency vibration reduction performance of the proposed IA and LR coupling plate is demonstrated by theoretical calculation and experimental verification. The mechanism of BG generation is elucidated by analyzing the structural vibration modes, and the advantage of low-frequency broadband large attenuation is confirmed by numerical methods. The results show that the proposed IA and LR coupling plate can achieve a wider full BG compared with the LR plate with the same mass attached. In addition, the BG frequency can be adjusted by changing the lever length ratio. By attaching different masses to a pair of parallel rods, the attenuation region can be widened by adjusting the mass parameters.