title: A two-state hysteresis model from high-dimensional friction.
abstract: In prior work (Biswas & Chatterjee 2014 Proc. R. Soc. A 470, 20130817 (doi:10.1098/rspa.2013.0817)), we developed a six-state hysteresis model from a high-dimensional frictional system. Here, we use a more intuitively appealing frictional system that resembles one studied earlier by Iwan. The basis functions now have simple analytical description. The number of states required decreases further, from six to the theoretical minimum of two. The number of fitted parameters is reduced by an order of magnitude, to just six. An explicit and faster numerical solution method is developed. Parameter fitting to match different specified hysteresis loops is demonstrated. In summary, a new two-state model of hysteresis is presented that is ready for practical implementation. Essential Matlab code is provided.
authors.affiliation: Department of Mechanical Engineering , IIT Kanpur , Kanpur, Uttar Pradesh, India.
authors.forename: Saurabh
authors.initials: S
authors.lastname: Biswas
authors.affiliation: Department of Mechanical Engineering , IIT Kanpur , Kanpur, Uttar Pradesh, India.
authors.forename: Anindya
authors.initials: A
authors.lastname: Chatterjee
keywords: Iwan model; hysteresis; minor loops; model reduction; parameter fitting