Reconfiguring smart structures using approximate heteroclinic connections

Zhang, J. and McInnes, C. R. (2015) Reconfiguring smart structures using approximate heteroclinic connections. Smart Materials and Structures, 24, 105034. (doi:10.1088/0964-1726/24/10/105034)

Zhang, J. and McInnes, C. R. (2015) Reconfiguring smart structures using approximate heteroclinic connections. Smart Materials and Structures, 24, 105034. (doi:10.1088/0964-1726/24/10/105034)

[img]
Preview
Text
110804.pdf - Accepted Version

1MB

Abstract

A new method is investigated to reconfigure smart structures using the technique of polynomial series to approximate a true heteroclinic connection between unstable equilibria in a smart structure model. We explore the use of polynomials of varying order to first approximate the heteroclinic connection between two equal-energy, unstable equilibrium points, and then develop an inverse method to control the dynamics of the system to track the reference polynomial trajectory. It is found that high-order polynomials can provide a good approximation to heteroclinic connections and provide an efficient means of generating such trajectories. The method is used first in a simple smart structure model to illustrate the method and is then extended to a more complex model where the numerical generation of true heteroclinic connections is difficult. It is envisaged that being computationally efficient, the method could form the basis for real-time reconfiguration of smart structures using heteroclinic connections between equal-energy, unstable configurations.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McInnes, Professor Colin
Authors: Zhang, J., and McInnes, C. R.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Smart Materials and Structures
Publisher:IOP Publishing
ISSN:0964-1726
ISSN (Online):1361-665X
Copyright Holders:Copyright © 2015 IOP Publishing Ltd.
First Published:First published in Smart Materials and Structures 24:105034
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

University Staff: Request a correction | Enlighten Editors: Update this record