Passive Vibration Control Using a Metaconcrete Thin Plate

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(Institution)
Abstract
09-037 Andressa Fernanda Angelin Miranda Jr., E.J.(Universidade Estadual de Campinas/Instituto Federal de Educação, Ciência e Tecnologia do Maranhão); Angelin, A.F.(Universidade Estadual de Campinas); Silva, F.M.(UNIVERSIDADE ESTADUAL DE CAMPINAS); Dos Santos, J.M.(Universidade Estadual de Campinas); During the last years many researches have been interested in the field of wave propagation in periodic composite systems known as phononic crystals (PCs). However, recently, a new type of periodic composite was proposed, namely locally resonant phononic crystal (LRPC), also known as elastic metamaterial (EM). The main difference between PCs and EMs is that the locally resonant band gaps arise in the vicinity of local resonator natural frequencies while Bragg-type band gaps typically occur at wavelengths of the order of the unit cell size. In this study we investigate the band structure of elastic waves propagating in an EM thin plate, consisting of a concrete matrix reinforced by steel inclusions coated with rubber in square and triangular lattices. We consider the classical Kirchhoff-Love thin plate theory. We also study the influence of inclusion geometry cross section – circular, square and rotated square with a 45° angle of rotation with respect to the x, y axes. Plane wave expansion method is used to solve the wave equation considering wave propagation in the xy plane (only flexural vibration is considered). Locally resonant band gaps are observed for all types of inclusion and the best performance is found for square lattice with square inclusion, whereas, for triangular lattice, circular, square and rotated square inclusions present, approximately, the same behavior. We suggest that the metaconcrete thin plate studied is feasible for flexural vibration management.
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