Nonlinear Investigation of Chaos and Hyperchaos in a 2-DOF Shape Memory Oscilator
Guilherme Vieira Rodrigues1; Alberto Paiva1; Larissa Maciel da Fonseca1
1 Universidade Federal Fluminense
doi:10.20906/CPS/COB-2015-2449
Resumo
The increasing interest in smart structures applications has been motivating the study of dynamical systems incorporating the so-called intelligent materials. The hysteretic behavior inherent to such materials turns their respective formulation intrinsically nonlinear, enabling plentiful dynamical responses, ranging from periodic to chaotic solutions. This paper aims to explore the chaos occurrence and their consequences in a two-degree of freedom sketch with shape memory alloy (SMA) restoring elements. The constitutive modeling of SMA considers a polynomial first-order phase transition formulation, which may be included in the dynamical model. The resulting set of coupled ordinary differential equations is solved using a fourth-order Runge-Kutta scheme. Numerical results take into account specific nonlinear phenomena such as: crisis, chaos and hyperchaos.
Palavras-chave: Shape Memory Alloy; Nonlinear Dynamics; Chaos; Hyperchaos