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Tuning frequency band gaps of tensegrity mass-spring chains 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 mass-spring chains with local and global prestress. International Journal of Solids and Structures, 155 . pp. 47-56. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20180820-102823309

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Abstract

This work studies the acoustic band structure of tensegrity mass-spring chains, and the possibility to tune the dispersion relation of such systems by suitably varying 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 systems are discussed.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.ijsolstr.2018.07.002DOIArticle
ORCID:
AuthorORCID
Amendola, Ada0000-0002-2562-881X
Krushynska, Anastasiia0000-0003-3259-2592
Daraio, Chiara0000-0001-5296-4440
Fraternali, Fernando0000-0002-7549-6405
Additional Information:© 2018 Elsevier Ltd. Received 30 January 2018, Revised 23 June 2018, Accepted 5 July 2018, Available online 18 August 2018.
Subject Keywords:Tensegrity lattice; Band gaps; Prestress; Wave attenuation; Monoatomic; Biatomic; Tunability
Record Number:CaltechAUTHORS:20180820-102823309
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180820-102823309
Official Citation:Ada Amendola, Anastasiia Krushynska, Chiara Daraio, Nicola M. Pugno, Fernando Fraternali, Tuning frequency band gaps of tensegrity mass-spring chains with local and global prestress, International Journal of Solids and Structures, Volume 155, 2018, Pages 47-56, ISSN 0020-7683, https://doi.org/10.1016/j.ijsolstr.2018.07.002. (http://www.sciencedirect.com/science/article/pii/S0020768318302695)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88951
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Aug 2018 21:24
Last Modified:29 Nov 2018 18:29

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