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The Indentation Rolling Resistance in Belt Conveyors: A Model for the Viscoelastic Friction

Department of Mechanics, Mathematics and Management, Politecnico of Bari, V.le Japigia, 182, 70126 Bari, Italy
Department of Mechanical Engineering, Imperial College London, South Kensington Campus, Exhibition Road, London SW72AZ, UK
Author to whom correspondence should be addressed.
Lubricants 2019, 7(7), 58;
Received: 26 May 2019 / Revised: 28 June 2019 / Accepted: 2 July 2019 / Published: 5 July 2019
(This article belongs to the Special Issue Adhesion, Friction and Lubrication of Viscoelastic Materials)
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In this paper, we study the steady-state rolling contact of a linear viscoelastic layer of finite thickness and a rigid indenter made of a periodic array of equally spaced rigid cylinders. The viscoelastic contact model is derived by means of Green’s function approach, which allows solving the contact problem with the sliding velocity as a control parameter. The contact problem is solved by means of an accurate numerical procedure developed for general two-dimensional contact geometries. The effect of geometrical quantities (layer thickness, cylinders radii, and cylinders spacing), material properties (viscoelastic moduli, relaxation time) and operative conditions (load, velocity) are all investigated. Physical quantities typical of contact problems (contact areas, deformed profiles, etc.) are calculated and discussed. Special emphasis is dedicated to the viscoelastic friction force coefficient and to the energy dissipated per unit time. The discussion is focused on the role played by the deformation localized at the contact spots and the one in the bulk of the thin layer, due to layer bending. The model is proposed as an accurate solution for engineering applications such as belt conveyors, in which the energy dissipated on the rolling contact of idle rollers can, in some cases, be by far the most important contribution to their energy consumption. View Full-Text
Keywords: rolling friction; indentation rolling resistance; viscoelasticity; friction; belt conveyors rolling friction; indentation rolling resistance; viscoelasticity; friction; belt conveyors

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Menga, N.; Bottiglione, F.; Carbone, G. The Indentation Rolling Resistance in Belt Conveyors: A Model for the Viscoelastic Friction. Lubricants 2019, 7, 58.

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