On babuška’s model for asymmetric hysteresis
| Autor: | Fayçal Ikhouane |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
| Rok vydání: | 2021 |
| Předmět: |
Matching (graph theory)
93A General [Control] 93 Systems Theory Control::93A General [Classificació AMS] 01 natural sciences 010305 fluids & plasmas 0103 physical sciences Applied mathematics Uniqueness 010306 general physics Duhem model Mathematics Physical law 93 Systems Theory [Classificació AMS] Histèresi Numerical Analysis 46 Associative rings and algebras::46T Nonlinear functional analysis [Classificació AMS] Analytical expressions Asymmetric hysteresis loop Dry friction Hysteresis Applied Mathematics Matemàtiques i estadística [Àrees temàtiques de la UPC] Physicist Babuška’s model Modeling and Simulation Focus (optics) |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2020.105650 |
| Popis: | Hysteresis is a complex phenomenon that occurs in many areas of science and engineering. To model hysteresis, scientists combine first laws of physics with fictitious equations to obtain phenomenological models that aim to match the macroscopic behavior of hysteresis processes. In this paper we focus on a model of hysteresis that was proposed by the physicist P. Duhem starting from thermodynamical considerations. On the one hand, we strengthen the results obtained by the mathematician I. Babuška in relation with the existence and uniqueness of a global solutions and of a periodic solution when the input is periodic. On the other hand, we specialize into a specific form of the Duhem model proposed by Babuška. For Babuška’s model we determine the explicit analytic expression of the hysteresis loop. We apply our findings to dry friction modeling and to asymmetric hysteresis loop matching. |
| Databáze: | OpenAIRE |
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