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A Modified Fractional Derivative Approach to Model Hysteresis

[+] Author Affiliations
M. Mohammed Rabius Sunny, Rakesh K. Kapania, Amitabh Mishra, Nakhiah Goulbourne

Virginia Polytechnic Institute and State University, Blacksburg, VA

Ronald D. Moffitt

Institute for Advanced Learning and Research, Danville, VA

Paper No. IMECE2007-43747, pp. 389-396; 8 pages
doi:10.1115/IMECE2007-43747
From:
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 10: Mechanics of Solids and Structures, Parts A and B
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4304-1 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME

abstract

This paper describes the development of a fractional calculus approach to model the hysteretic behavior shown by the variation of resistance with strain in nano-composites (like MetalRubberÔ). Experiments have been carried out on MetalRubberÔ to study the strain-resistance variation of this material under strains varying in a triangular manner. Combined fractional derivative and integer order integral model and fractional integral model (with two sub-models) have been developed to model this behavior. Effieiency of these models has been discussed by comparison of their results with the experimental result.

Copyright © 2007 by ASME

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