# Co-Design of Mechanical and Vibration Properties of a Star Polygon-Coupled Honeycomb Metamaterial
[33] combined bandgaps and the frequency domain to analyze the vibration suppression performance of a local resonant metamaterial, providing a theoretical foundation for related research. An interconnected metamaterial was proposed by [PERSON] et al. [34]; it simplified the fabrication and installation processes, and the vibration isolation capacity of the material was validated by extracting the Bloch mode according to the modal strain energy. [PERSON] et al. [35] designed an aseismatic metamaterial and investigated its bandgap characteristics via the transfer matrix method; the results show that the acceleration amplitude decreases during wave propagation, which demonstrates the material's vibration suppression performance. Although there are many methods through which to improve vibration suppression performance, bandgap-induced vibration suppression is regarded as one of the most special and effective methods for metamaterials. Vibrations cannot pass through the bandgap frequency range in the form of elastic waves, but the frequency of the vibration source may change in engineering applications. Therefore, the adjustment method for bandgaps is also a focus for the vibration design of metamaterials. [PERSON] et al. [36] studied the bandgap characteristics of cells with different shapes through a combination of experiments and simulations and confirmed that cell shape can affect the bandgap. [PERSON] et al. [24] presented an I-shaped radial elastic metamaterial and found that the material can generate ultra-low-frequency wide bandgaps under quasi-static conditions. Moreover, [PERSON] [37], [PERSON] [38], [PERSON] [39], and [PERSON] [40] et al. have investigated the influence of geometric and material parameters on bandgap properties. [PERSON] [41], [PERSON] [42], and [PERSON] [43] proposed 3D metamaterial structures and proved that three-dimensional structures can also be adjusted to generate ideal bandgaps, and their findings are helpful when considering the vibration suppression of metamaterials in low-frequency bands. The abovementioned works have made many achievements in independently improving load-bearing capacity and vibration suppression performance. However, achieving both good load-bearing capacity and vibration resistance in a metamaterial remains a considerable challenge. In this paper, based on a polygon metamaterial, a novel star polygon-coupled honeycomb metamaterial is proposed, which generates low-frequency bandgaps and achieves a great improvement in load-bearing capacity in contrast with the initial metamaterial. Meanwhile, the influence of configuration parameters (including the size, number, position, and material of the metal pins) on the load-bearing capacity and bandgap properties is investigated. Additionally, particle damping is introduced into the metamaterial to continuously adjust the bandgap frequency and improve vibration attenuation in frequency ranges without bandgaps. The simulation and experimental results demonstrate that the proposed metamaterial achieves a collaborative improvement of bearing capacity and vibration suppression performance. The rest of the paper is structured as follows. In Section 2, the structure and geometric parameters of the unit cells are explained. In Section 3, the stress-strain characteristics and load-bearing properties of the metamaterials are studied. The bandgap properties of the metamaterials and the influence of configuration parameters on bandgap properties are studied in Section 4. In Section 5, the vibration suppression performance of the metamaterials is evaluated by simulations and experiments. The findings of this work are summarized in Section 6.