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Proceedings Paper

Nonlinear dynamics and chaos in a shape memory alloy pseudoelastic oscillator
Author(s): Luciano G. Machado; Dimitris C. Lagoudas; Marcelo A. Savi
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Paper Abstract

Shape memory alloys (SMAs) have been used in different kind of application including those that explore their dynamical response. The key characteristics of SMAs are associated with adaptive dissipation related to their hysteretic behavior and changes in their material properties caused by martensitic phase transformations. This work discusses the dynamical response of one-degree of freedom (1-DOF) oscillator where the restitution force is provided by an SMA pseudoelastic element described by a smooth constitutive model built upon the Boyd- Lagoudas model. Numerical simulations show a very intricate dynamic response of the system, with even chaotic responses. Nonlinear tools are employed to determine the nature of the system motion and Lyapunov exponents are used to assure conclusions concerning chaotic behavior.

Paper Details

Date Published: 27 April 2007
PDF: 10 pages
Proc. SPIE 6525, Active and Passive Smart Structures and Integrated Systems 2007, 65250Y (27 April 2007); doi: 10.1117/12.715812
Show Author Affiliations
Luciano G. Machado, Texas A&M Univ. (United States)
Dimitris C. Lagoudas, Texas A&M Univ. (United States)
Marcelo A. Savi, Univ. Federal do Rio de Janeiro (Brazil)

Published in SPIE Proceedings Vol. 6525:
Active and Passive Smart Structures and Integrated Systems 2007
Yuji Matsuzaki; Mehdi Ahmadian; Donald J. Leo, Editor(s)

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