Temperature effects on wave attenuation properties of metamaterials: Bandgap drift

Abstract

The bandgap properties of phononic crystals and acoustic metamaterials have been investigated far and wide due to their potential application in vibration and noise reduction devices. The factors affecting the bandgaps including the material parameters and structural parameters were widely discussed, while there are few papers about the effect of temperature on the bandgap properties. In this paper, the influence of temperature on bandgap characteristics of metamaterial devices is studied theoretically and numerically. Since the elastic constants of some materials are affected by temperature, the bandgap drift phenomenon caused by temperature is displayed visually in the one-dimensional spring-mass system. Based on one-dimensional spring-mass metamaterials, the temperature-dependent theoretical formulations for calculating the dispersion relationships are derived and the effective mass equations related to temperature are also deduced to illustrate the negative effective mass density properties. Finally, the vibration attenuation properties and the directional transmission characteristics of two metastructures at different temperatures are performed to manipulate elastic wave field by temperature. This study could provide some insight into the use of acoustic metamaterials in extreme environments and provides a new approach for elastic wave field manipulation.