Nonlinear Dynamics and Chaos in a Shape Memory Alloy Pseudoelastic Oscillator

摘要

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.