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Enhancement of Deep-Subwavelength Band Gaps in Flat Spiral-Based Phononic Metamaterials Using the Trampoline Phenomena

Bilal, Osama R. and Foehr, André and Daraio, Chiara (2020) Enhancement of Deep-Subwavelength Band Gaps in Flat Spiral-Based Phononic Metamaterials Using the Trampoline Phenomena. Journal of Applied Mechanics, 87 (7). Art. No. 071009. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20200813-094025637

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Abstract

Elastic and acoustic metamaterials can sculpt dispersion of waves through resonances. In turn, resonances can give rise to negative effective properties, usually localized around the resonance frequencies, which support band gaps at subwavelength frequencies (i.e., below the Bragg-scattering limit). However, the band gaps width correlates strongly with the resonators’ mass and volume, which limits their functionality in applications. Trampoline phenomena have been numerically and experimentally shown to broaden the operational frequency ranges of two-dimensional, pillar-based metamaterials through perforation. In this work, we demonstrate trampoline phenomena in lightweight and planar lattices consisting of arrays of Archimedean spirals in unit cells. Spiral-based metamaterials have been shown to support different band gap opening mechanisms, namely, Bragg-scattering, local resonances and inertia amplification. Here, we numerically analyze and experimentally realize trampoline phenomena in planar metasurfaces for different lattice tessellations. Finally, we carry out a comparative study between trampoline pillars and spirals and show that trampoline spirals outperform the pillars in lightweight, compactness and operational bandwidth.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1115/1.4046893DOIArticle
ORCID:
AuthorORCID
Bilal, Osama R.0000-0003-3803-5084
Foehr, André0000-0003-0941-5424
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2020 by ASME. Manuscript received February 21, 2020; final manuscript received April 8, 2020; published online May 14, 2020. We are grateful for T. Jung’s help with the additive manufacturing. O. R. Bilal acknowledges the support from the ETH Postdoctoral Fellowship FEL-26 15-2. This work was partially supported by ETH grant No. ETH-24 15-2.
Funders:
Funding AgencyGrant Number
ETH ZurichFEL-26 15-2
ETH ZurichETH-24 15-2
Subject Keywords:dynamics, mechanical properties of materials, structures, vibration, wave propagation
Issue or Number:7
Record Number:CaltechAUTHORS:20200813-094025637
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200813-094025637
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104949
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:13 Aug 2020 21:55
Last Modified:13 Aug 2020 21:56

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