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MECSOL 2022
8th International Symposium on Solid Mechanics
Complex band structure of flexural waves in thin platonic crystals
Submission Author:
Edson Jansen Pedrosa de Miranda Junior , MA
Co-Authors:
Edson Jansen Pedrosa de Miranda Junior, Vinicius F. Dal Poggetto, Jose Maria Campos dos Santos
Presenter: Edson Jansen Pedrosa de Miranda Junior
doi://10.26678/ABCM.MECSOL2022.MSL22-0050
Abstract
The flexural wave propagation in a 2-D platonic crystal with periodic arrays of inclusions in square and honeycomb lattices is investigated. This platonic crystal is capable of filtering the propagation of flexural waves over a specified range of frequency due to the formation of Bragg-type band gaps. The band structures are obtained by the improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) considering the Kirchhoff-Love thin plate theory. The band gaps are opened up with different values of unit cell wave attenuation. The type of lattice influences significantly the propagating and the evanescent modes. The presented results can be used to investigate the elastic wave attenuation using 2-D platonic periodic structures.
Keywords
periodicity, band gaps, wave attenuation, evanescent waves
