Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part II: Fitting, Computational Mechanics

Jerzy T. Sawicki; Joe Padovan

doi:10.1007/s004660050183

Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part II: Fitting, Computational Mechanics

Jerzy T. Sawicki, Joe Padovan

University of Akron

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Computational Mechanics
Volume	19
DOIs	https://doi.org/10.1007/s004660050183
State	Published - Jan 1 1997

Disciplines

Mechanical Engineering

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title = "Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part II: Fitting, Computational Mechanics",

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.",

author = "Sawicki, \{Jerzy T.\} and Joe Padovan",

note = "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.",

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AU - Padovan, Joe

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Y1 - 1997/1/1

N2 - 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.

AB - 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.

UR - https://engagedscholarship.csuohio.edu/enme_facpub/86

U2 - 10.1007/s004660050183

DO - 10.1007/s004660050183

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JO - Computational Mechanics

JF - Computational Mechanics

ER -

Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part II: Fitting, Computational Mechanics

Abstract

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