$Control of damping oscillations by fractional differential operator with time-dependent order$

Control of damping oscillations by fractional differential operator with time-dependent order

The aim of the present paper is application of a differential operator of variable order in constitutive relations for viscoelastic materials. This operator is used for studying the vibrations of a one-degree-of-freedom oscillator, in which the viscoelastic deformation is governed by a servo order f...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Computer methods in applied mechanics and engineering 2004-12, Vol.193 (52), p.5585-5595
Hauptverfasser:	Ingman, D., Suzdalnitsky, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Eigenfrequency Exact sciences and technology Fractional calculus Fundamental areas of phenomenology (including applications) Numerical methods Physics Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Viscoelasticity
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	The aim of the present paper is application of a differential operator of variable order in constitutive relations for viscoelastic materials. This operator is used for studying the vibrations of a one-degree-of-freedom oscillator, in which the viscoelastic deformation is governed by a servo order function. A method for numerical determination of the eigenfrequency of the fractional differential equation is proposed.
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2004.06.029