Minor loops of the Dahl and LuGre models
Autor: | Gisela Pujol, Víctor Mañosa, Fayçal Ikhouane |
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Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
Rok vydání: | 2021 |
Předmět: |
Physics
Histèresi Analytical expressions Dry friction Applied Mathematics Hysteresis Physical system Matemàtiques i estadística [Àrees temàtiques de la UPC] 02 engineering and technology Dynamical Systems (math.DS) Minor loops LuGre and Dahl models 01 natural sciences Graph 020303 mechanical engineering & transports 0203 mechanical engineering Control theory Modeling and Simulation 0103 physical sciences FOS: Mathematics Small lobes 34C55 93A30 93A99 46T99 Mathematics - Dynamical Systems 010301 acoustics |
Zdroj: | Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
Popis: | Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In the presence of perturbed inputs, this hysteresis loop presents small lobes called minor loops that are located inside a larger curve called major loop. The study of minor loops is being increasingly popular since it leads to a quantification of the loss of energy. The aim of the present paper is to give an explicit analytic expression of the minor loops of the LuGre and the Dahl models of dynamic dry friction. Comment: 24 pages, 16 figures |
Databáze: | OpenAIRE |
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