Wave propagation in metamaterial honeycombs endowed with periodically distributed nonlinear resonators is addressed. The linear and nonlinear dispersion properties of the metamaterial are investigated. The nonlinear wave propagation equations obtained via a projection method and the Floquet–Bloch theorem are attacked by the method of multiple scales to obtain in closed form the nonlinear manifolds parametrized by the amplitudes, the frequency, and the wave numbers. The effects of the nonlinearity on the frequency bandgaps are thoroughly investigated and the optimization problem of the resonators nonlinearity towards increased bandgap size is tackled to provide a significant practical framework for the design of nonlinear metamaterials

Nonlinearity enhanced wave bandgaps in metamaterial honeycombs embedding spider web-like resonators / Shen, Yichang; Lacarbonara, Walter. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - 562:(2023), p. 117821. [10.1016/j.jsv.2023.117821]

Nonlinearity enhanced wave bandgaps in metamaterial honeycombs embedding spider web-like resonators

Yichang Shen
Primo
Formal Analysis
;
Walter Lacarbonara
Secondo
Conceptualization
2023

Abstract

Wave propagation in metamaterial honeycombs endowed with periodically distributed nonlinear resonators is addressed. The linear and nonlinear dispersion properties of the metamaterial are investigated. The nonlinear wave propagation equations obtained via a projection method and the Floquet–Bloch theorem are attacked by the method of multiple scales to obtain in closed form the nonlinear manifolds parametrized by the amplitudes, the frequency, and the wave numbers. The effects of the nonlinearity on the frequency bandgaps are thoroughly investigated and the optimization problem of the resonators nonlinearity towards increased bandgap size is tackled to provide a significant practical framework for the design of nonlinear metamaterials
2023
Metamaterial honeycomb; Dispersion properties; Method of multiple scales; Nonlinear wave propagation; Nonlinear resonators
01 Pubblicazione su rivista::01a Articolo in rivista
Nonlinearity enhanced wave bandgaps in metamaterial honeycombs embedding spider web-like resonators / Shen, Yichang; Lacarbonara, Walter. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - 562:(2023), p. 117821. [10.1016/j.jsv.2023.117821]
File allegati a questo prodotto
File Dimensione Formato  
Shen_nonlinearity_2023.pdf

accesso aperto

Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Creative commons
Dimensione 3.2 MB
Formato Adobe PDF
3.2 MB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1688335
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact