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The spatial Fourier summation of corrugated beams and their band gap formation

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Autor(es):
Lamas, P. B. ; Nicoletti, R.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 215, p. 12-pg., 2024-04-16.
Resumo

Periodic structures usually present a frequency response spectrum with regions characterized by large modal spacing (big distance between two resonance peaks) and low vibrating responses. Such regions are called band gaps, and they can be generated either by the Bragg scattering or by the local resonance mechanisms, where the vibrating waves are attenuated and do not propagate along the structure. It has been shown in the literature that corrugated beams (beams shaped in a periodic geometry) are not an exception, and they do present band gaps. It was observed that the band gap central frequency and its bandwidth depend on the number and height of bumps of the beam. Hence, the geometry of the beam defines the resultant band gap region in its frequency spectrum. In this work, one investigates the effect of "summing"two periodic corrugated beams in terms of their spatial Fourier content. It is shown that, by adopting a geometry composed of spatial Fourier components from two other corrugated beams, the beam preserves the band gaps of the original ones. This is verified both numerically and experimentally. The plane wave expansion method is used to obtain the dispersion diagrams, whereas conventional modal analysis is employed to obtain the experimental frequency response functions of the original and "summed"beams. (AU)

Processo FAPESP: 18/15894-0 - Projeto e otimização de estruturas periódicas para aprimoramento de desempenho vibroacústico
Beneficiário:Carlos de Marqui Junior
Modalidade de apoio: Auxílio à Pesquisa - Temático