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Viscoelastic body colliding against a rigid wall with and without dry friction effects
Institution:1. Mathematical Institute, Serbian Academy of Arts and Sciences, Kneza Mihaila 36, Beograd 11000, Serbia;2. Department of Physics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovi?a 3, Novi Sad 21000, Serbia;3. Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi?a, 6, Novi Sad 21000, Serbia
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.
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