Damping in a locally resonant metamaterial using inverse and direct unit cell modelling

Damping has an important influence on the vibro-acoustic performance of locally resonant metamaterials, broadening the frequency range of attenuation at the expense of peak performance. This paper discusses the influence of damping on the dispersion curves of a locally resonant metamaterial. Unit cell analysis is applied and solved using both an inverse and a direct approach, leading to respectively complex frequencies and complex propagation constants. The manifestation of damping effects using both unit cell approaches is presented and compared.