Shock and Vibration

Shock and Vibration / 2004 / Article

Open Access

Volume 11 |Article ID 717986 | https://doi.org/10.1155/2004/717986

Luciano G. Machado, Marcelo A. Savi, Pedro M.C.L. Pacheco, "Bifurcations and Crises in a Shape Memory Oscillator", Shock and Vibration, vol. 11, Article ID 717986, 14 pages, 2004. https://doi.org/10.1155/2004/717986

Bifurcations and Crises in a Shape Memory Oscillator

Received05 May 2003
Accepted24 Sep 2003

Abstract

The remarkable properties of shape memory alloys have been motivating the interest in applications in different areas varying from biomedical to aerospace hardware. The dynamical response of systems composed by shape memory actuators presents nonlinear characteristics and a very rich behavior, showing periodic, quasi-periodic and chaotic responses. This contribution analyses some aspects related to bifurcation phenomenon in a shape memory oscillator where the restitution force is described by a polynomial constitutive model. The term bifurcation is used to describe qualitative changes that occur in the orbit structure of a system, as a consequence of parameter changes, being related to chaos. Numerical simulations show that the response of the shape memory oscillator presents period doubling cascades, direct and reverse, and crises.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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