On control of harmonic waves in an acoustic metamaterial

Abstract Generation of harmonic waves in a mass-in mass model of an acoustic metamaterial is considered. It is shown numerically that outside the band gap, the boundary harmonic excitation gives rise to a formation of periodic waves whose profile gradually coincides with the profile of the exact traveling wave harmonic solution. No waves are generated by the boundary excitation inside the band gap. A switch-on/off control is developed to achieve the formation of the harmonic waves inside the band gap.