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On the Fractional Modelling of the Diffusive Interface

[+] Author Affiliations
Nezha Maamri, Massinissa Tari

University of Poitiers, Poitiers, France

Jean-Claude Trigeassou

University of Bordeaux, Bordeaux, France

Paper No. DETC2015-46027, pp. V009T07A014; 9 pages
doi:10.1115/DETC2015-46027
From:
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5719-9
  • Copyright © 2015 by ASME

abstract

This paper deals with the fractional order modelling of a heat transfer diffusive interface, which is considered as a prototype problem. Based on the truncation of the diffusive interface model, we demonstrate that commensurate fractional order models, where the basic order is n=0.5, are natural candidates for the approximation of the diffusive model. Then, we show that frequency approximation can be improved by optimization of the models parameters, using a least squares technique. Non commensurate fractional order models can be also considered as an excellent alternative to the approximation of the diffusive interface, with less model complexity. The main conclusion of this paper is that a diffusive interface can be approximated by two families of fractional models with appropriate and necessary complexity.

Copyright © 2015 by ASME
Topics: Modeling

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