Bifurcation and chaos of a shape memory alloy supporter

This article is concerned with the bifurcation and chaotic behaviors of a space three-bar supporter of shape memory alloys. Based on a fifth order polynomial constitutive description of thermo-mechanical and pseudo-elastic behaviors of shape memory alloys, the nonlinear dynamic model which dominates the vertical vibration of the space three-bar supporter of shape memory alloys is established. The dynamic response of the system presents nonlinear characteristics and various behaviors, showing periodic, quasi-periodic and chaotic motions. Numerical simulations show that the system exhibits interesting and complex behaviors, and at a temperature where both martensitic and austenitic phases coexist, the chaotic characteristic of the system is the strongest. With an increase in the value of damp parameter of the system, the chaotic behavior decrease.