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Consistency of the Duhem Model with Hysteresis

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  • Mohammad Fuad Mohammad Naser
  • Fayçal Ikhouane

Abstract

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.

Suggested Citation

  • Mohammad Fuad Mohammad Naser & Fayçal Ikhouane, 2013. "Consistency of the Duhem Model with Hysteresis," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-16, November.
    • Handle: RePEc:hin:jnlmpe:586130
    DOI: 10.1155/2013/586130
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