Damped Phononic Crystals and Acoustic Metamaterials

摘要: The objective of this chapter is to introduce the topic damping in context both its modeling and effects phononic crystals acoustic metamaterials. First, we provide a brief discussion on structural dynamic systems general with focus viscous viscoelastic types (Sect. 6.2) follow non-exhaustive literature review prior work that examined periodic materials 6.3). In Sect. 6.4, consider damped 1D diatomic metamaterials as example problems (keeping our attention for ease exposition previous chapters). We generalized form Bloch’s theorem, which needed account temporal spatial attenuation elastic waves resulting from presence damping. also describe transformation governing equations motion state-space representation facilitate treatment term arises emerging eigenvalue problem. Finally, dissipation (based two models considered) frequency ratio band structures are demonstrated by solving developed particular choice material parameters.