Based on the local resonance mechanism, an acoustic metamaterial plate structure is proposed in this article, and the low‐frequency bandgap characteristics of the structure are numerically analyzed and the bandgap‐opening mechanism is explored based on the existing finite‐element method and fluctuation theory. The propagation characteristics of elastic waves within the structure were analyzed using group velocity and phase velocity to validate its acoustic performance. Subsequently, an optimized design was developed, with Model III exhibiting the lowest vibration transmission coefficient (T) value of −128.15 dB. The first bandgap starting frequency of the designed Model II with variable parameter is below 100 Hz, and the lowest frequency reaches a considerable 69.81 Hz, which realizes the adjustment of the bandgap position and the total bandgap width within a certain range. This study opens up a line of thought for future practical applications of low‐frequency metamaterial structures.
Cheng et al. (2026) studied this question.