Abstract: The Bloch theorem and finite element technique were applied to investigate the dispersion characteristics of hexagonal chiral cellular in the mid and low frequency. The effect of geometry parameters and the metamaterial inclusion on the distribution of the band gap was analyzed. The results demonstrate that the vibration transmission displays significant attenuation for the frequency located in the band gap. The distribution of the band gap in the low frquency is sensitive to the geometry parameter and can be tuned to the desired frequency and the metamaterial inclusion can promote the generation of the lowfrequency band gap. The research outcomes will lay a solid theoretical base for designing of isolation structures.  

Key words: hexagonal chiral structure, Bloch theorem, dispersion behavior, band gap, geometry parameter