Mechanical vibration and acoustic bandgaps in lattices and triply periodic bi-continuous composites

In last decade, cellular materials which are based on triply periodic minimal surfaces have gotten a lot of attention due to their extraordinary properties and performances like low density with high stiffness and strength but their mechanical vibration and acoustic characteristics are not well investigated. In this work, phononic and acoustic bandgaps and phonon dispersion and sound attenuation curves in lattices and triply periodic bi-continuous composites, which are based on the Schwarz’ Primitive and Diamond and Schoen’s I-WP and Gyroid, are found and the widths of these bandgaps are depending on volume fraction and these bandgaps can be controlled by the choice of cell type, size and volume fraction and utilized to control vibration and noise.