Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Wave attenuation using 2-D metamaterial thin plates with shunted piezo-patches
Submission Author:
Edson Jansen Pedrosa de Miranda Junior , MA
Co-Authors:
Edson Jansen Pedrosa de Miranda Junior, Jose Maria Campos dos Santos, Amilton Sinatora
Presenter: Edson Jansen Pedrosa de Miranda Junior
doi://10.26678/ABCM.COBEM2023.COB2023-0844
Abstract
Mechanical metamateriais are artificial structures designed to achieve performance over static or dynamic conditions that usual materials would not be able to accomplish. In mechanical structures, they can be applied for noise control, vibration isolation, and wave attenuation, for example. Some reliable mathematical models are available to simulate and analyse the behaviour of structures over dynamic conditions, then it is possible to reach and validate accurate results without necessarily performing experiments. Recently, the piezoelectric shunt damping combined with the concept of periodic structures originated the piezoelectric mechanical metamaterials. In terms of wave attenuation, the advantage of using piezoelectric mechanical metamaterials is the formation of both Bragg-type and locally resonant band gaps. These forbidden bands are regions of frequency where there are only evanescent waves. In addition, the 1-D and 2-D piezoelectric mechanical metamaterials have been extensively studied by experimental techniques and numerically. The wave propagation in a 2-D mechanical metamaterial Kirchhoff-Love plate with periodic arrays of shunted piezo-patches is investigated in this study. This piezoelectric mechanical metamaterial thin plate is capable of filtering the propagation of flexural waves over a specified range of frequency, called band gaps. The band structures are obtained by the improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) methods. First, the cases of open and short circuits are studied. Next, two types of closed electrical circuits are considered, i.e., resistive and resonant circuits. The band structures computed by improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) approaches show good agreement. The Bragg-type band gaps are first observed for the open and short circuits. Next, the resistive and resonant circuits are studied and the locally resonant band gap is opened up for the resonant case. 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.
Keywords
periodicity, band gaps, shunt circuits, thin plate theory
