Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part II: Fitting, Computational Mechanics
Part I of this series introduced the diophantinized fractional model and the decompositional formulation. The various important properties of fractional continuum formulation and its decomposed version were developed. In Part II the dynamic properties of the diophantine representation are investigated. The model fitting scheme will be developed to handle an arbitrary frequency dependent structural hysteriesis. This is followed up with the results of benchmark studies which demonstrate the effectiveness of fitting.
Sawicki, J.T., and Padovan, J. (1997). Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part II: Fitting. Computational Mechanics, 19(5), 341-356, doi: 10.1007/s004660050183.
The final publication is available at Springer via http://dx.doi.org/10.1007/s004660050183