|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type||Journal:||International Journal of Engineering Science||Volume:||64||First page:||54||Last page:||65||Issue Date:||4-Feb-2013||Rank:||M21||ISSN:||0020-7225||DOI:||10.1016/j.ijengsci.2012.12.006||Abstract:||
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the fractional order. To the constitutive equation we associate a single function of complex variable that plays a key role in finding the solution of the system and in determining its properties. This function could be defined for a linear viscoelastic bodies of integer/fractional derivative type.
|Keywords:||Distributed-order fractional derivative | Forced oscillations of a body | Forced oscillations of a rod | Fractional derivative | Fractional viscoelastic material||Publisher:||Elsevier||Project:||Viscoelasticity of fractional type and shape optimization in a theory of rods
Methods of Functional and Harmonic Analysis and PDE with Singularities
Secretariat for Science of Vojvodina, Grant 114-451-2167
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