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Tuning frequency band gaps of tensegrity metamaterials with local and global prestress

Amendola, Ada and Krushynska, Anastasiia and Daraio, Chiara and Pugno, Nicola M. and Fraternali, Fernando (2018) Tuning frequency band gaps of tensegrity metamaterials with local and global prestress. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20180817-160141057

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Abstract

This work studies the acoustic band structure of tensegrity metamaterials, and the possibility to tune the dispersion relation of such systems by playing with local and global prestress variables. Building on established results of the Bloch-Floquet theory, the paper first investigates the linearized response of chains composed of tensegrity units and lumped masses, which undergo small oscillations around an initial equilibrium state. The stiffness of the units in such a state varies with an internal self-stress induced by prestretching the cables forming the tensegrity units, and the global prestress induced by the application of compression forces to the terminal bases. The given results show that frequency band gaps of monoatomic and biatomic chains can be effectively altered by the fine tuning of local and global prestress parameters, while keeping material properties unchanged. Numerical results on the wave dynamics of chains under moderately large displacements confirm the presence of frequency band gaps of the examined systems in the elastically hardening regime. Novel engineering uses of the examined metamaterials are discussed.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1803.03472arXivDiscussion Paper
ORCID:
AuthorORCID
Daraio, Chiara0000-0001-5296-4440
Fraternali, Fernando0000-0002-7549-6405
Additional Information:A.A. gratefully acknowledges financial support from the Department of Civil Engineering at the University of Salerno. A.O.K. thanks the funding from the European Union’s 7th Framework programme for research and innovation under the Marie Skłodowska-Curie Grant Agreement No. 609402-2020 researchers: Train to Move (T2M). N.M.P. is supported by the European Commission H2020 under the Graphene Flagship Core 1 No. 696656 (WP14 ‘Polymer Composites’) and FET Proactive ‘Neurofibres’ grant No. 732344. The authors declare that they have no conflict of interest.
Funders:
Funding AgencyGrant Number
University of SalernoUNSPECIFIED
Marie Curie Fellowship609402-2020
European Research Council (ERC)696656
European Research Council (ERC)732344
Subject Keywords:Tensegrity lattice, band gaps, prestress, wave attenuation, monoatomic, biatomic, tunability
Record Number:CaltechAUTHORS:20180817-160141057
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180817-160141057
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88939
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:20 Aug 2018 17:10
Last Modified:20 Aug 2018 17:10

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