Modeling of Shape Memory Alloy pseudoelastic spring elements using Preisach model for passive vibration isolation

Advances in active materials and smart structures, especially in applications of Shape Memory Alloys (SMA) as vibration isolation devices requires modeling of the pseudoelastic hysteresis found in SMAs. In general SMA hysteresis has been modeled either through constitutive models based on mechanics and material parameters or through system identification based models that depend only on input-output relationships, most popular being the Preisach Model. In this work, a basis is set forth for studying the effect of SMA pseudoelasticity on the behavior of vibrating systems. A Preisach Model is implemented to predict the component level pseudoelastic response of SMA spring elements. The model is integrated into a numerical solution of the non-linear dynamic system that results from the inclusion of Shape Memory Alloy components in a dynamic structural system. The effect of pseudoelasticity on a dynamic system is investigated for various loading levels and system configurations and the importance of large amplitude motion is discussed. Promising results are obtained from these investigations and the application of these studies to experimental work in progress by the authors is briefly discussed.