Emergent subharmonic band gaps in nonlinear locally resonant metamaterials induced by autoparametric resonance

P.B. Silva (Corresponding author), M.J. Leamy, M.G.D. Geers, V.G. Kouznetsova

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Uittreksel

With the aim of developing high-performance locally resonant metamaterials, the effect of nonlinear hyperelastic interactions between a rubberlike elastomeric local resonator and the host matrix is investigated. The results reveal a new emergent physical phenomenon not previously reported within the framework of elastoacoustic metamaterials: The appearance of a half subharmonic attenuation zone complementing the local resonance band gap around the fundamental frequency. Evidence of the emergent attenuation zone is provided by direct numerical simulations as well as semianalytical developments via the method of multiple scales. The analyses demonstrate that, in the considered nonlinear locally resonant metamaterial, the combined effects of autoparametric and local resonance induce saturation of the primary wave at certain conditions and, subsequently, promote energy exchange from a primary propagating wave to an evanescent subharmonic wave, giving rise to an additional attenuation zone. This opens new possibilities for the design of passive filtering devices for elastoacoustic waves.

Originele taal-2Engels
Artikelnummer063003
Aantal pagina's14
TijdschriftPhysical Review E
Volume99
Nummer van het tijdschrift6
DOI's
StatusGepubliceerd - 24 jun 2019

Vingerafdruk

Subharmonics
Metamaterials
Band Gap
Attenuation
attenuation
Method of multiple Scales
Fundamental Frequency
Resonator
direct numerical simulation
Saturation
Filtering
High Performance
resonators
energy transfer
saturation
matrices
Energy
Interaction
Demonstrate
interactions

Citeer dit

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Emergent subharmonic band gaps in nonlinear locally resonant metamaterials induced by autoparametric resonance. / Silva, P.B. (Corresponding author); Leamy, M.J.; Geers, M.G.D.; Kouznetsova, V.G.

In: Physical Review E, Vol. 99, Nr. 6, 063003, 24.06.2019.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

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