A new form of rate independence for hysteresis systems
| Autor: | Fayçal Ikhouane |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Property (philosophy) Mathematical model 020208 electrical & electronic engineering Independence property 02 engineering and technology Rate independent Hysteresis 020901 industrial engineering & automation Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Independence (mathematical logic) Statistical physics Mathematics |
| Zdroj: | IFAC-PapersOnLine. 53:1213-1218 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2020.12.1337 |
| Popis: | In mathematical texts hysteresis is defined as a rate independent phenomenon, and many mathematical models of hysteresis exhibit this rate independence property. However, experiments suggest that this property is only an approximation of the hysteresis behaviour when the excitation is slow enough. Using a generalized form of the hysteretic Duhem model, we show that, although this model is not rate independent, it still satisfies a new form of rate independence. We also explore the relationship between this new form and the usual property of rate independence. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|