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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| Veröffentlicht in: | Mathematical problems in engineering 2013-01, Vol.2013 (2013), p.1-16 |
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| container_title | Mathematical problems in engineering |
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| creator | Mohammad Naser, Mohammad Fuad Ikhouane, Fayçal |
| 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. |
| doi_str_mv | 10.1155/2013/586130 |
| format | Article |
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| subjects | Consistency Excitation Hysteresis Hysteresis models Identification Mathematical analysis Mathematical functions Mathematical models Mathematical problems Mechanical engineering Ordinary differential equations Phase transitions Physical properties Random vibration |
| title | Consistency of the Duhem Model with Hysteresis |
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