Analysis of low frequency bandgap characteristics of novel epoxy-based metamaterial plate structure

An epoxy-based metamaterial plate structure with local resonance is designed in this paper. The bandgap of the bending wave ranges from 36.46[Formula: see text]Hz to 110.55[Formula: see text]Hz. Through the optimization design of the oscillators in the plate structure, the starting bandgap moves to 19.79[Formula: see text]Hz, and the band gap width is 72[Formula: see text]Hz. The dispersion curve and frequency response function were calculated by finite element method (FEM). On this basis, the plane wave expansion method formula of the structural model was derived, and the equivalent model of spring-mass model was established. The results show that the calculation results of the three methods of the epoxide metamaterial plate structure were basically consistent, and the correctness of these methods was verified mutually. The methods derived in this paper bring great convenience and diversity to the application of plate structure. The article proposes a low-frequency wide bandgap thick plate structure model.