Reconfiguration of a smart surface using heteroclinic connections

Jiaying Zhang, Colin R McInnes, Ming Xu

Research output: Contribution to journal › Article

1 Citation (Scopus)
9 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Early online date11 Jan 2017
DOIs
Publication statusE-pub ahead of print - 11 Jan 2017

Fingerprint

Heteroclinic Connection
Reconfiguration
Unstable
modules
Energy
Multiple Equilibria
Geometric Nonlinearity
Module
energy
Electron transitions
Energy Efficient
Electron energy levels
Phase Space
nonlinearity
Unit
Zero
Range of data

Keywords

  • reconfigurable smart surface
  • heteroclinic connections
  • energy efficiency

Cite this

Zhang, Jiaying ; McInnes, Colin R ; Xu, Ming. / Reconfiguration of a smart surface using heteroclinic connections. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017 ; pp. 1-24.
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Zhang, J, McInnes, CR & Xu, M 2017, 'Reconfiguration of a smart surface using heteroclinic connections', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, pp. 1-24. https://doi.org/10.1098/rspa.2016.0614

Reconfiguration of a smart surface using heteroclinic connections. / Zhang, Jiaying; McInnes, Colin R; Xu, Ming.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 11.01.2017, p. 1-24.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Reconfiguration of a smart surface using heteroclinic connections

AU - Zhang, Jiaying

AU - McInnes, Colin R

AU - Xu, Ming

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N2 - 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.

AB - 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.

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KW - heteroclinic connections

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Zhang J, McInnes CR, Xu M. Reconfiguration of a smart surface using heteroclinic connections. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017 Jan 11;1-24. https://doi.org/10.1098/rspa.2016.0614

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