Reconfiguration of a smart surface using heteroclinic connections

Zhang, J., McInnes, C. R. and Xu, M. (2017) Reconfiguration of a smart surface using heteroclinic connections. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473(2197), 20160614. (doi:10.1098/rspa.2016.0614)

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Abstract

A reconfigurable smart surface with multiple equilibria is presented, modelled using discrete point masses and linear springs with geometric nonlinearity. An energy-efficient reconfiguration scheme is then investigated to connect equal-energy unstable (but actively controlled) equilibria. In principle, zero net energy input is required to transition the surface between these unstable states, compared to transitions between stable equilibria across a potential barrier. These transitions between equal-energy unstable states, therefore, form heteroclinic connections in the phase space of the problem. Moreover, the smart surface model developed can be considered as a unit module for a range of applications, including modules which can aggregate together to form larger distributed smart surface systems.

Item Type:Articles
Additional Information:J.Z. is supported by a University of Strathclyde scholarship,C.R.M. is supported by a Royal Society Wolfson Research Merit Award while M.X. is supported by a China Scholarship Council Fellowship.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Xu, Mr Ming and McInnes, Professor Colin
Authors: Zhang, J., McInnes, C. R., and Xu, M.
College/School:College of Science and Engineering > School of Engineering
College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
Publisher:The Royal Society
ISSN:1364-5021
ISSN (Online):1471-2946
Published Online:11 January 2017
Copyright Holders:Copyright © 2016 The Royal Society
First Published:First published in Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 473(2197):20160614
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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