Modeling of Sandwich MRE Resonator and Band Gap Adjustment of Metamaterial Beam

A model of a sandwich magnetorheological elastomer (MRE) beam with a concentrated mass attached to one end is proposed to analyze the resonance characteristics of the cantilever beam-mass resonator. This model of sandwich MRE resonator consists of two types of components: the beam element with two nodes and four degrees of freedom and the beam element with concentrated mass. The effectiveness of this model is verified by comparing its results with existing results and finite element results. Through integrating the metamaterial beam with MRE resonators, a band-gap-adjustable metamaterial beam is proposed and low-frequency vibration suppression is achieved. The results suggest that the band gap of the structure can be effectively adjusted within a wide range by changing the external magnetic field applied to the presented MRE resonators.