Authors: Hedrih, Katica (Stevanović) 
Hedrih, Anđelka 
Affiliations: Mechanics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Free and forced modes of fractional-type torsional oscillations of a complex rod
Conference: 10th European Nonlinear Dynamics Conference - ENOC 2020, July 17-22, 2022, Lyon, France
Issue Date: 2022
Rank: M34
In this paper we study torsional oscillations of a complex rod made of material with viscoelastic properties. Free and forced modes of fractional-type torsional oscillations of a discrete system of a complex rod are described by a system of differential fractional order equations for a special case. The kinetic energy, deformation work, and generalized energy dissipation function of a fractional type system are identified for a special case. It has been shown that in the general case of such fractional type systems, with torsional
oscillations, there are no independent modes, and that the system behaves as a nonlinear system.
Keywords: torsional oscillations | free modes | force modes | fractional calculus | complex rod
Publisher: Universite de Lyon, France

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