Authors: Zorica, Dušan 
Žigić, Miodrag
Grahovac, Nenad
Title: Viscoelastic body colliding against a rigid wall with and without dry friction effects
Journal: Applied Mathematical Modelling
Volume: 45
First page: 365
Last page: 382
Issue Date: 1-May-2017
Rank: M21
ISSN: 0307-904X
DOI: 10.1016/j.apm.2017.01.004
Abstract: 
The impact of a body against a rigid wall is studied. The body consists of a rigid block and a viscoelastic rod described by the distributed-order fractional model and in particular its solid-like and fluid-like special cases. Translatory motion of a body is studied in two cases: without and with the influence of dry friction. When present, dry friction is modeled by the Coulomb friction law. The problem is treated analytically by the use of the Laplace transform method and solutions are obtained in a convolution form.
Keywords: Coulomb friction law | Fractional distributed-order model of viscoelastic body | Hertz-type impact | Laplace transform
Publisher: Elsevier

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