Dispersion relation of flexural waves in metamaterial plates with periodic shunted piezo-patches
Palavras-chave:
Periodicity, Band gaps, Shunt circuits, Evanescent wavesResumo
The wave propagation in a 2-D mechanical metamaterial plate with periodic arrays of shunted piezo-
patches is investigated. This piezoelectric mechanical metamaterial plate is capable of filtering the propagation of
flexural waves over a specified range of frequency, called band gaps. The dispersion relations are obtained by the
improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) methods. The Bragg-type
and locally resonant band gaps are opened up. The shunt circuits influence significantly the propagating and the
evanescent modes. The results can be used for elastic wave attenuation using 2-D piezoelectric periodic structures.