Metamaterial with local resonators coupled by negative stiffness springs for enhanced vibration suppression

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dc.contributor.author Hu, Guobiao en
dc.contributor.author Tang, Lihua en
dc.contributor.author Xu, J en
dc.contributor.author Lan, C en
dc.contributor.author Das, R en
dc.date.accessioned 2019-09-19T02:59:17Z en
dc.date.issued 2019-05-20 en
dc.identifier.issn 1528-9036 en
dc.identifier.uri http://hdl.handle.net/2292/47785 en
dc.description.abstract In recent years, designing metamaterials for applications in low-frequency vibration suppression and noise reduction has attracted lots of research interests. This paper proposes a metamaterial system with local resonators from adjunct unit cells coupled by negative stiffness springs. First, a lumped parameter model of the system is developed, and a stability criteria is derived. The band structure of the infinite lattice model is calculated. The result reveals the appearance of extra band gaps in the proposed metamaterial. A parametric study shows that the first extra band gap can be tuned to ultra-low frequency by controlling the negative stiffness of the coupling springs. A transmittance analysis of the finite lattice model verifies the predictions obtained from the band structure analysis. Subsequently, the work is extended to a distributed parameter metamaterial beam model with the proposed configuration of coupled local resonators. The stability analysis establishes that the infinitely long metamaterial beam becomes unstable as long as the stiffness of the coupling spring becomes negative. For the finitely long metamaterial beam, the stability could be achieved for negative coupling springs of given stiffnesses. The effects of the number of cells and the lattice constant on the system stability are investigated. The transmittance of the finitely long metamaterial beam is calculated. The result shows that due to the restriction on the tunability of negative stiffness for the proposed metamaterial beam, a quasi-static vibration suppression region can only be achieved when the number of cells is small. en
dc.publisher American Society of Mechanical Engineers en
dc.relation.ispartofseries Journal of Applied Mechanics en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title Metamaterial with local resonators coupled by negative stiffness springs for enhanced vibration suppression en
dc.type Journal Article en
dc.identifier.doi 10.1115/1.4043827 en
pubs.issue 8 en
pubs.volume 86 en
dc.rights.holder Copyright: The author en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Article en
pubs.elements-id 773226 en
pubs.org-id Engineering en
pubs.org-id Mechanical Engineering en
pubs.number 081009 en
pubs.record-created-at-source-date 2019-05-27 en
pubs.online-publication-date 2019-05-20 en


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