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Reconfiguration of a smart surface using heteroclinic connections
Jiaying Zhang1, Colin R McInnes2, Ming Xu3
1Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, UK; School of Engineering, University of Glasgow, Glasgow G12 8QQ, UK.
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.
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