Phononic band gaps in 2d finite media using inertial amplification

Abstract eng:
Spectral gaps in the band structure of periodic media have long drawn the attention of many researchers. In the last decade, there has been a growing interest in computing and designing the phononic band structure of two- and three-dimensional periodic systems made up of various materials. The focus has been on obtaining complete phononic band-gaps, which forbid the propagation of elastic or acoustic waves with any polarization and wave vector. This leads to potential applications such as mechanical filters, sound or vibration isolators, or acoustic waveguides. Phononic band-gaps in periodic media typically are generated via Bragg scattering and local resonances. We developed an alternative method that makes use of amplifying the effective inertia of the wave propagation medium via embedded amplification mechanisms. With this method, very large low-frequency band-gaps can be generated. In this paper, we consider inertial amplification for both infinite and finite domain periodic media. We demonstrate how all three band gap strategies can be captured with one material topology.

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