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Diophantine type fractional derivative representation of structural hysteresis

Part II: Fitting

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Abstract

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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Cleveland State University, Cleveland, Ohio 44115, USA, , , , , , US

    J. T. Sawicki

  2. Departments of Mechanical and Polymer Engineering, The University of Akron, Akron, Ohio 44325-3903, USA, , , , , , US

    J. Padovan

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  1. J. T. Sawicki
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  2. J. Padovan
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Sawicki, J., Padovan, J. Diophantine type fractional derivative representation of structural hysteresis . Computational Mechanics 19, 341–355 (1997). https://doi.org/10.1007/s004660050183

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  • DOI: https://doi.org/10.1007/s004660050183

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