A two-state hysteresis model from high-dimensional friction | Zendy

Saurabh Biswas | Zendy; Anindya Chatterjee | Zendy

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A two-state hysteresis model from high-dimensional friction

Author(s) -

Saurabh Biswas,

Anindya Chatterjee

Publication year - 2015

Publication title -

royal society open science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.84

H-Index - 51

ISSN - 2054-5703

DOI - 10.1098/rsos.150188

Subject(s) - chatterjee , hysteresis , matlab , state (computer science) , simple (philosophy) , work (physics) , basis (linear algebra) , computer science , state dependent , statistical physics , control theory (sociology) , mathematics , algorithm , physics , geometry , artificial intelligence , mathematical economics , thermodynamics , quantum mechanics , philosophy , bengali , epistemology , control (management) , operating system

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.

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