Diophantine type fractional derivative representation of structural hysteresis Part II: Fitting

Computational Mechanics

Volumn 19, Issue 5, 1997, Pages 341-355

  Sawicki, J T ^a   Padovan, J ^b  

^a Cleveland State University   (United States)

^b UNIVERSITY OF AKRON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; EIGENVALUES AND EIGENFUNCTIONS; HYSTERESIS; INTEGRODIFFERENTIAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS;

DIOPHANTINE REPRESENTATION; FRACTIONAL DERIVATIVE MODELLING;

STRUCTURAL ANALYSIS;

EID: 0031121473     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050183     Document Type: Article

References (7)

1. Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. (1967): The Theory of Splines and their Applications. New York: Academic Press
2. α on [0,1] In: Gonchar, A. A., Saff, E. B. (ed): Methods of Approximation Theory in Complex Analysis and Mathematical Physics, 192-222. New York: Springer
3. Hamming, R. W. (1962): Numerical Methods for Scientists and Engineers. New York: McGraw-Hill
4. Padovan, J.; Guo, Y. H. (1988): General Response of Viscoelastic System Modeled by Fractional Operators. Journal of Franklin Institute 325, 247-275
5. Padovan, J.; Sawicki, J. T. (1997): Diophantine Type Fractional Derivative Representation of Structural Hysteresis, Part I: Formulation. Computational Mechanics 19, 335-340
6. Remez, E. Y. (1934): Sur le Calcul Effectiv des Polynomes d'Approximation de Tchebichef, CR Acad. Sci, Paris 199, 337-340.
7. Schmidt, W. M. (1980): Diophantine Approximation. New York: Springer