The impact of resonant additions’ footprint on the stop band behavior of 1D locally resonant metamaterial realizations

Abstract

Metamaterials have been proven to hold potential to enhance the Noise, Vibration and Harshness (NVH) performance in several applications, as they can create stop bands, which lead to frequency zones of pronounced noise and/or vibration attenuation. This paper investigates the influence of the footprint between resonant inclusions and host structure on the stop band behavior of metamaterials. The impact of this design feature is assessed both numerically and experimentally. Numerically, it is shown that by increasing the footprint, the stop bands (SB) become narrower and shift to higher frequencies. Applied to finite structures, it is shown that the zones of pronounced vibration attenuation tend to follow the changes in the stop band limits. The experimental validation is performed on metamaterial beams and the results comply with the numerical model. This investigation demonstrates that the footprint of resonators is a design parameter which can have a beneficial effect when taken into account during the design stage of matematerials.