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A robust optimised shunted electrodynamic metamaterial for multi-mode vibration control

A robust optimised shunted electrodynamic metamaterial for multi-mode vibration control
A robust optimised shunted electrodynamic metamaterial for multi-mode vibration control
This paper presents a design approach for a shunted electrodynamic metamaterial (EDMM) for broadband robust vibration control. A unit cell of 12 inertial electrodynamic transducers is proposed, where the response of each transducer is tuneable via a connected resistive and inductive shunt circuit. The variations in the parameters of an off-the-shelf transducer are characterised experimentally, before the effect of this variation on the shunted response is investigated. It is shown that instability of the system is a limiting design factor. A problem is proposed whereby the resistive and inductive shunt values of an EDMM attached to a parametrically uncertain structure are to be found, and given the complexity of the design problem, a Particle Swarm Optimisation (PSO) is utilised to find a solution using an analytical model of the system. The results of the optimisation show that the effects of uncertainty in the actuators must be included, otherwise, the solution can be unstable. However, it is also shown that it is sufficient to ignore the uncertainty in the structure and optimise the EDMM considering actuator uncertainty alone, since the EDMM motion is then highly damped and, therefore, inherently robust to structural uncertainties.
Electrodynamic, Metaheuristics, Metamaterial, Optimisation, Vibration
0022-460X
Singleton, Lawrence
b7b7fbb9-2469-4774-8572-31a016b7e5ac
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Daley, Stephen
53cef7f1-77fa-4a4c-9745-b6a0ba4f42e6
Singleton, Lawrence
b7b7fbb9-2469-4774-8572-31a016b7e5ac
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Daley, Stephen
53cef7f1-77fa-4a4c-9745-b6a0ba4f42e6

Singleton, Lawrence, Cheer, Jordan and Daley, Stephen (2022) A robust optimised shunted electrodynamic metamaterial for multi-mode vibration control. Journal of Sound and Vibration, 527, [116861]. (doi:10.1016/j.jsv.2022.116861).

Record type: Article

Abstract

This paper presents a design approach for a shunted electrodynamic metamaterial (EDMM) for broadband robust vibration control. A unit cell of 12 inertial electrodynamic transducers is proposed, where the response of each transducer is tuneable via a connected resistive and inductive shunt circuit. The variations in the parameters of an off-the-shelf transducer are characterised experimentally, before the effect of this variation on the shunted response is investigated. It is shown that instability of the system is a limiting design factor. A problem is proposed whereby the resistive and inductive shunt values of an EDMM attached to a parametrically uncertain structure are to be found, and given the complexity of the design problem, a Particle Swarm Optimisation (PSO) is utilised to find a solution using an analytical model of the system. The results of the optimisation show that the effects of uncertainty in the actuators must be included, otherwise, the solution can be unstable. However, it is also shown that it is sufficient to ignore the uncertainty in the structure and optimise the EDMM considering actuator uncertainty alone, since the EDMM motion is then highly damped and, therefore, inherently robust to structural uncertainties.

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Optimised_EDMM_JSVv9_postreview - Accepted Manuscript
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More information

Accepted/In Press date: 19 February 2022
e-pub ahead of print date: 26 February 2022
Published date: 9 June 2022
Additional Information: Funding Information: This research was partially supported by an EPRSC iCASE studentship (Voucher number 17100092) and the Intelligent Structures for Low Noise Environments (ISLNE) EPSRC Prosperity Partnership (EP/S03661X/1). The authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. Funding Information: This research was partially supported by an EPRSC iCASE studentship (Voucher number 17100092 ) and the Intelligent Structures for Low Noise Environments (ISLNE) EPSRC Prosperity Partnership ( EP/S03661X/1 ). The authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. Publisher Copyright: © 2022 Elsevier Ltd Copyright: Copyright 2022 Elsevier B.V., All rights reserved.
Keywords: Electrodynamic, Metaheuristics, Metamaterial, Optimisation, Vibration

Identifiers

Local EPrints ID: 455692
URI: http://eprints.soton.ac.uk/id/eprint/455692
ISSN: 0022-460X
PURE UUID: c4fd84fa-268f-4d0c-9008-a9e272076b19
ORCID for Jordan Cheer: ORCID iD orcid.org/0000-0002-0552-5506

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Date deposited: 30 Mar 2022 16:55
Last modified: 17 Mar 2024 07:10

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