Study on the low-frequency bandgap characteristics of the microsphere array three-dimensional phononic crystal

A three-dimensional, microsphere array, locally resonant phononic crystal has been designed to address the problem of low-frequency vibration in the range of 50-350 Hz in engineering applications. The energy band and transmission loss are calculated using the finite element method. The bandgap formation mechanism is analyzed by co-constructing the mass-spring model and displacement mode. In addition, the effects of material composition, geometric parameters, asymmetry of the connections, and the