The realization of a low‐frequency bandgap is closely related to the geometric designand material distribution of the superstructure. In this paper, three kinds of hybrid metamaterial structures with different lattices are proposed. The proposed structure has obvious differences in the shape of the supporting ligament. Based on the finite element method, the bandgap mechanism and waveguide characteristics of the three structures are compared and analyzed. Then, the dependence of the bandgap width on the central mass block is studied by parameterization. Finally, the bandgap results are verified by the vibration transmission spectrum and the displacement response of the vibration in the finite periodic structure. The research shows that the circular hybrid metamaterial structure has the best bandgap frequency range, and the proportion of the bandgap width is up to 51.887% within 1000 Hz, which can provide a guiding scheme for the design and optimization of metamaterial structures.
Ai et al. (Sun,) studied this question.