19th Asia-Pacific Vibration Conference (APVC2021)

This paper presents low-frequency vibration suppression performance of an acoustic metamaterial plate consisting of periodical multi-degree of freedom resonators and a homogeneous plate. Theoretical methods have been developed for the dispersion relation and the vibration distribution based on Bloch theory and the harmonic wave propagation theory. Validation investigation of these two methods is carried out during the derivation for the calculation of infinite and finite metamaterial plate, respectively. Multiple band gaps can be obtained due to translation and rotation resonance of the attached resonators. And within the band gaps, vibration can be dramatically suppressed for the counterbalance of the inertia from the resonators and the shear force induced by flexural waves. Vibration response distribution over the plate is displayed for deeper comprehension of the band gap effect. And parametric analysis of the attached resonators is conducted for further design in practical engineering.

low-frequency,vibration suppression,multi-degree of freedom,acoustic metamaterial plate