A MODIFIED FRACTIONAL DERIVATIVE APPROACH TO MODEL HYSTERESIS

摘要

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 MetalRubberO). Experiments have been carried out on MetalRubberO 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. Efficiency of these models has been discussed by comparison of their results with the experimental result.