A two-state hysteresis model from high-dimensional friction
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 ba...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2015-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.150188 |
| _version_ | 1828189896271986688 |
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| author | Saurabh Biswas Anindya Chatterjee |
| author_facet | Saurabh Biswas Anindya Chatterjee |
| author_sort | Saurabh Biswas |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T08:13:20Z |
| format | Article |
| id | doaj.art-65a2709a31c04827807a0db35312d89f |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-04-12T08:13:20Z |
| publishDate | 2015-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-65a2709a31c04827807a0db35312d89f2022-12-22T03:40:54ZengThe Royal SocietyRoyal Society Open Science2054-57032015-01-012710.1098/rsos.150188150188A two-state hysteresis model from high-dimensional frictionSaurabh BiswasAnindya ChatterjeeIn 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.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.150188hysteresisminor loopsiwan modelmodel reductionparameter fitting |
| spellingShingle | Saurabh Biswas Anindya Chatterjee A two-state hysteresis model from high-dimensional friction Royal Society Open Science hysteresis minor loops iwan model model reduction parameter fitting |
| title | A two-state hysteresis model from high-dimensional friction |
| title_full | A two-state hysteresis model from high-dimensional friction |
| title_fullStr | A two-state hysteresis model from high-dimensional friction |
| title_full_unstemmed | A two-state hysteresis model from high-dimensional friction |
| title_short | A two-state hysteresis model from high-dimensional friction |
| title_sort | two state hysteresis model from high dimensional friction |
| topic | hysteresis minor loops iwan model model reduction parameter fitting |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.150188 |
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