Tuning frequency band gaps of tensegrity mass-spring chains with local and global prestress

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:155

Article

Amendola, Ada¹  Krushynska, Anastasiia²  Daraio, Chiara³  Pugno, Nicola M.^4,5,6  Fraternali, Fernando¹ 

[1] Univ Salerno, Dept Civil Engn, Via Giovanni Paolo 2,132, I-84084 Fisciano, SA, Italy

[2] Univ Turin, Dept Phys, Via P Guria 1, I-10125 Turin, Italy

[3] CALTECH, Engn & Appl Sci, Pasadena, CA 91125 USA

[4] Univ Trento, Dept Civil Environm & Mech Engn, Lab Bioinspired & Graphene Nanomech, Via Mesiano 77, I-38123 Trento, Italy

[5] Queen Mary Univ London, Sch Engn & Mat Sci, Mile End Rd, London E1 4NS, England

[6] Italian Space Agcy, Edoardo Amaldi Fdn, Ket Labs, Via Politecn Snc, I-00133 Rome, Italy

关键词: Tensegrity lattice;    Band gaps;    Prestress;    Wave attenuation;    Monoatomic;    Biatomic;    Tunability;   

DOI  :  10.1016/j.ijsolstr.2018.07.002

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Ltd. All rights reserved.

【 授权许可】

Free