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Band-gap structure in two- and three-dimensional cellular locally resonant materials

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Abstract Wave propagation in periodic locally resonant materials (LRM) is characterized by the presence of band-gaps occurring at relatively low frequencies which can be exploited for vibration attenuation or impact… Click to show full abstract

Abstract Wave propagation in periodic locally resonant materials (LRM) is characterized by the presence of band-gaps occurring at relatively low frequencies which can be exploited for vibration attenuation or impact absorption. In this work we consider the dispersion properties of three-components cellular LRM endowed with 2D (cylindrical) or 3D periodicity. Modal analyses on the unit cell, with Bloch-Floquet periodicity conditions, are performed by the finite element methods. For cylindrical LRM, the limits of plane analyses, which consider uncoupled in-plane and out-of-plane modes, are highlighted. Several different geometries for the 3D unit cells are also proposed and their influence on the band-gap width is studied.

Keywords: resonant materials; structure two; gap structure; locally resonant; band gap; two three

Journal Title: Journal of Sound and Vibration
Year Published: 2019

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