|Authors:||Hedrih, Katica (Stevanović)
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||URL:||https://enoc2020.sciencesconf.org/301417/document||Abstract:||
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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