Affiliations: Instituto Militar de Engenharia, Department of
Mechanical and Materials Engineering, 22.290.270, Rio de Janeiro, RJ,
Brazil | Universidade Federal do Rio de Janeiro, COPPE,
Department of Mechanical Engineering, 21.945.970, Rio de Janeiro, RJ, Brazil,
Caixa Postal 68.503. E-mail: savi@ufrj.br | CEFET/RJ, Department of Mechanical Engineering,
20.271.110, Rio de Janeiro, RJ, Brazil. E-mail: calas@cefet-rj.br
Note: [] Corresponding author
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.
