Flexural waves in graded metabeam lattice

Effect of the graded variation in terms of separation gap between the two successive resonators and their mass on the resultant band structure of the graded metabeam is investigated in this paper. The bandstructure are explored by implementing the transfer matrix method in conjunction with Bloch-Floquet's theorem. The graded arrangement of oscillators modifies the relative position of the coupling coefficient in the transfer matrix, which plays a pivotal role in altering the band-gap formation. The flexural bandstructure is highly sensitive to the natural frequency and the distance between two resonators. It is evidenced that around 20% shifting of attenuation band in lower frequency side and 2.5 times widening of overall attenuation band gap is achievable by proper graded arrangement of resonators in metamaterial unit cell. However, the level of attenuation deteriorates over the wider frequency range. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the effect of graded variation in separation gap between two successive resonators and their mass on the band structure of a graded metabeam. The arrangement of resonators can alter the band structure, widening the overall attenuation band gap, but deteriorating the attenuation level over a wider frequency range.