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DINAME2019
DINAME2019
Nonlinear Dynamical Analysis of a 2-DOF SMA Oscillator Using a Model with Internal Constraints
Submission Author:
Daniel de Macedo Barreto Netto , RJ , Brazil
Co-Authors:
Alberto Paiva, Pedro Manuel Calas Lopes Pacheco, Marcelo Savi
Presenter: Daniel de Macedo Barreto Netto
doi://10.26678/ABCM.DINAME2019.DIN2019-0203
Abstract
A dynamical system with two degrees-of-freedom and three Shape Memory Alloy (SMA) restoring elements is proposed. The SMA may present a complex behavior due to the solid state-phase transformations involving austenite and martensite, which result in a hysteretic behavior as a consequence of the intrinsic damping and switching properties between both phases. Equations of motion are formulated by assuming a constitutive model with internal constraints. Mathematically, this formulation is highly nonlinear and the responses of the system might be periodic, quasi-periodic, chaotic or even hyperchaotic, as will be addressed in this paper.
Keywords
Shape Memory Alloy, constitutive model, internal constraints, nonlinear dynamics

