Inertial Amplification Induced Phononic Band Gaps in a Chiral Elastic Metamaterial

In this study, a helical structure with periodic disks is investigated. By varying the helix angle of the links that connect the disks, dispersion diagram of this chiral structure is altered. Both Bragg scattering and inertial amplification induced phononic band gaps are generated. Compact analytical formulations are derived for the band gap starting frequency and the notch frequency due to inertial coupling within the structure.