Landau-Ginzburg-Devonshire based modelling and iterative learning compensation of phase transitioning smart material structure for 1 DOF oscillator application

Abstract

Shape memory alloys (SMA) are smart materials that possess the property to regain a predetermined shape upon external stimuli. They are widely used as actuators due to change in shape, natural frequency and other mechanical properties due to temperature or other electromagnetic properties. This paper deals with the designing and control of shape memory one degree of freedom spring, which has higher nonlinearity than the SMA wire. As the thermo-mechanical behavior is complex, a dynamic model of shape memory alloy is developed using the polynomial equation of the SMA, which is derived from Landau-Ginzburg-Devonshire framework The controlling of the system is simulated through Iterative learning control (ILC). The response of the material is analyzed for both open loop and closed loop. The loop logic is simulated using MATLAB/Simulink. The produced results were analyzed with respect to their use in Active Vibration control. © 2017 IEEE.