Reconfiguring smart structures using approximate heteroclinic connections

Zhang, Jiaying and McInnes, Colin R (2015) Reconfiguring smart structures using approximate heteroclinic connections. Smart Materials and Structures, 24 (10). 105034. ISSN 0964-1726

[thumbnail of Zhang-McInnes-SMS-2015-Reconfiguring-smart-structures-using-approximate]
Text (Zhang-McInnes-SMS-2015-Reconfiguring-smart-structures-using-approximate)
Accepted Author Manuscript

Download (1MB)| Preview


    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.

    ORCID iDs

    Zhang, Jiaying ORCID logoORCID: and McInnes, Colin R;