Wave propagation in biomimetic hierarchical metamaterials based on spider-web honeycomb structures

Biomimetic architected materials are one of the exemplary nature-inspired applications in human lives. In this field, embedding natural architectures in the structure of the meta-materials is the main goal to explore the architected periodic materials. In this research, the hierarchical evolution of periodic spider-web honeycombs as inspiring biomimetic meta-material models are scrutinized to determine the attenuation zones based on the finite element method and Bloch’s theorem. The computed dispersion curves are figured, and the bandgap areas are analyzed for different orders of hierarchy. Also, the effect of relative density and geometric segment length of the architected structure on the dispersion curve of a spider-web inspired hierarchal structure is analyzed in more detail. Finally, a particular honeycomb-based architected structure is identified that can filter almost 70% of the frequencies in the specified ranges. The results of the current paper can lead to the design of metamaterials with enhanced wave attenuation characteristics which can be extremely useful in acoustic engineering applications.

کلیدواژه ها:

Spider-web ، dispersion relation ، frequency bandgap ، meta-materials