Nonlinear dynamics in a pseudoelastic oscillator: Non-isothermal oscillations
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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. The case of non-isothermal heat transfer conditions is here investigated and then compared to the isothermal case. Numerical simulations shows a very intricate dynamic response of the system, with even chaotic responses. Phase Space curves, Poincar Maps and Lyapunov exponents are used to determine the nature of the motion of the system, in both isothermal and non-isothermal cases.