Analysis of low-frequency bandgap modulation and vibration and noise reduction performance of a new three-dimensional resonant plate

In this paper, three kinds of single-phase three-dimensional acoustic metamaterials of local resonance type are proposed, and the bandgap characteristics and vibration forms of these structures are analyzed by using finite element software, to obtain the differences of structural damping and noise reduction, and to explore the bandgap characteristics and its opening mechanism. The topology optimization of model C is carried out to obtain a new structure with ultra-low onset frequency, and the transmission characteristics of the new structure are analyzed. The results show that the new structure has excellent vibration and noise reduction effects. Finally, several structures are parameterized to observe the effect of parameter changes on the bandgap characteristics. The several localized resonant phononic crystals proposed in this paper have potential for practical applications.