Flexural wave band gaps in metamaterial elastic beam

Edson Jansen Pedrosa de Miranda Júnior¹; José Maria Campos dos Santos¹

¹ Unicamp

doi:10.20906/CPS/COB-2015-1415

Resumo

In the last decades, many researches have been done to the field of wave propagation in periodic structures. More recently these researches have been focused in metamaterials. Metamaterials are heterogeneous materials which are made of various materials with periodic distribution. Due to its periodic structure, some frequency ranges may exist where elastic or acoustic waves are forbidden to propagate (band gaps). In this paper, we demonstrated the formation of band gaps and spectral attenuation of flexural waves in metamaterial elastic beam with periodically variation of two materials. This metamaterial features a unique wave filtering characteristics that can find applications to vibration and acoustic control. The study is performed by using five approaches, the transfer-matrix method (MTM), the finite element method (FEM), the spectral element method (SEM) ,the wave finite element method (WFEM) and the wave spectral element method (WSEM), to predict the propagation constants and the complex band structures. Finite periodic structure is considered. Results are discussed and compared to each other.

Palavras-chave: Metamaterial elastic beam; flexural waves band gaps; plane wave expansion; wave finite element method