Consistency of the Duhem Model with Hysteresis

Consistency of the Duhem Model with Hysteresis

The Duhem model, widely used in structural, electrical, and mechanical engineering, gives an analytical description of a smooth hysteretic behavior. In practice, the Duhem model is mostly used within the following black-box approach: given a set of experimental input-output data, how to tune the mod...

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Main Authors: Mohammad Fuad Mohammad Naser, Fayçal Ikhouane
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/586130
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spelling doaj-c4c3a7cd6db4469e9ab4251cf89744272020-11-25T00:15:30ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/586130586130Consistency of the Duhem Model with HysteresisMohammad Fuad Mohammad Naser0Fayçal Ikhouane1Universitat Politècnica de Catalunya, Escola Universitària d'Enginyeria Tècnica Industrial de Barcelona, Departament de Matemàtica Aplicada III, Comte d'Urgell 187, 08036 Barcelona, SpainUniversitat Politècnica de Catalunya, Escola Universitària d'Enginyeria Tècnica Industrial de Barcelona, Departament de Matemàtica Aplicada III, Comte d'Urgell 187, 08036 Barcelona, SpainThe Duhem model, widely used in structural, electrical, and mechanical engineering, gives an analytical description of a smooth hysteretic behavior. In practice, the Duhem model is mostly used within the following black-box approach: given a set of experimental input-output data, how to tune the model so that its output matches the experimental data. It may happen that a Duhem model presents a good match with the experimental real data for a specific input but does not necessarily keep significant physical properties which are inherent to the real data, independent of the exciting input. This paper presents a characterization of different classes of Duhem models in terms of their consistency with the hysteresis behavior.http://dx.doi.org/10.1155/2013/586130
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Fuad Mohammad Naser
Fayçal Ikhouane
spellingShingle Mohammad Fuad Mohammad Naser
Fayçal Ikhouane
Consistency of the Duhem Model with Hysteresis
Mathematical Problems in Engineering
author_facet Mohammad Fuad Mohammad Naser
Fayçal Ikhouane
author_sort Mohammad Fuad Mohammad Naser
title Consistency of the Duhem Model with Hysteresis
title_short Consistency of the Duhem Model with Hysteresis
title_full Consistency of the Duhem Model with Hysteresis
title_fullStr Consistency of the Duhem Model with Hysteresis
title_full_unstemmed Consistency of the Duhem Model with Hysteresis
title_sort consistency of the duhem model with hysteresis
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description The Duhem model, widely used in structural, electrical, and mechanical engineering, gives an analytical description of a smooth hysteretic behavior. In practice, the Duhem model is mostly used within the following black-box approach: given a set of experimental input-output data, how to tune the model so that its output matches the experimental data. It may happen that a Duhem model presents a good match with the experimental real data for a specific input but does not necessarily keep significant physical properties which are inherent to the real data, independent of the exciting input. This paper presents a characterization of different classes of Duhem models in terms of their consistency with the hysteresis behavior.
url http://dx.doi.org/10.1155/2013/586130
work_keys_str_mv AT mohammadfuadmohammadnaser consistencyoftheduhemmodelwithhysteresis
AT faycalikhouane consistencyoftheduhemmodelwithhysteresis
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