Hysteresis in a shape memory alloy wire: identification and simulation

This paper presents a new approach to numerical implementation of a classical Preisach model to hystersis modeling of Shape Memory Alloys (SMA). Classical Preisach hysteresis model is a phenomenological model and it offers various advantages over other models. After reviewing the basic properties of the classical Preisach model, this paper reveals one difficulty to numerically implement a classical Preisach model. Numerical simulations have to be done in two different cases: 1) when input ascends and 2) when input descends. Based on the geometrical interpretation, this paper proposed a unified approach to numerical implementation of a Preisach model and there is no need to consider the different cases. To demonstrate the effectiveness of the proposed numerical method, an experiment setup with an SMA wire with severe hysteresis is utilized. Experimental results convincingly demonstrate that the proposed method accurately captures the features of the hysteresis. Using the forward Preisach model, an approach to find the inverse model is presented for compensation purpose.