Abstract
Herein, a hierarchical acoustic metamaterial with a spider‐web‐like structure is proposed based on bionics theory. The wave propagation behaviors of the hierarchical structures are studied and discussed with the finite‐element method and Bloch theorem. The effects of the basic shape of the hierarchical structure, the levels (n), and the ambient temperature on the distribution of the bandgap are analyzed, respectively. The results show that the quadrilateral hierarchical structure has better bandgap properties than the same level's octagonal and hexagonal hierarchical structures. The level of the hierarchical structure has a significant effect on the distribution of the low‐frequency bandgap. When the level of the structure is 15, the lowest opening frequency is 99.875 Hz. When the temperature variable is introduced, the temperature‐induced deformation can significantly change the range of the first bandgap of the hierarchical structure. These findings can provide new ideas for the design of acoustic metamaterials.
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