### Abstract

Language | English |
---|---|

Pages | 1-24 |

Number of pages | 24 |

Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Early online date | 11 Jan 2017 |

DOIs | |

Publication status | E-pub ahead of print - 11 Jan 2017 |

### Fingerprint

### Keywords

- reconfigurable smart surface
- heteroclinic connections
- energy efficiency

### Cite this

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, 1-24. https://doi.org/10.1098/rspa.2016.0614

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*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.

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

PY - 2017/1/11

Y1 - 2017/1/11

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.

KW - reconfigurable smart surface

KW - heteroclinic connections

KW - energy efficiency

U2 - 10.1098/rspa.2016.0614

DO - 10.1098/rspa.2016.0614

M3 - Article

SP - 1

EP - 24

JO - Proceedings A: Mathematical, Physical and Engineering Sciences

T2 - Proceedings A: Mathematical, Physical and Engineering Sciences

JF - Proceedings A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

ER -