Rolling contact of a rigid cylinder over a smooth elastic or viscoelastic layer

1972 ◽  
Vol 13 (1-2) ◽  
pp. 1-9 ◽  
Author(s):  
J. Margetson
Keyword(s):  
Rolling Contact ◽  
Viscoelastic Layer ◽  
Rigid Cylinder

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

Lubricants ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 58 ◽  
Author(s):  
Nicola Menga ◽  
Francesco Bottiglione ◽  
Giuseppe Carbone
Keyword(s):  
Contact Problem ◽  
Finite Thickness ◽  
Numerical Procedure ◽  
Contact Problems ◽  
Accurate Solution ◽  
Rolling Contact ◽  
Viscoelastic Layer ◽  
Force Coefficient ◽  
Belt Conveyors ◽  
Energy Dissipated

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.

Modelling of the viscoelastic layer effect in rolling contact

Wear ◽  
2019 ◽  
Vol 430-431 ◽  
pp. 256-262 ◽  
Author(s):  
Irina Goryacheva ◽  
Almira Miftakhova
Keyword(s):  
Rolling Contact ◽  
Viscoelastic Layer ◽  
Layer Effect

Rolling Contact Between Rigid Cylinder and Semi-Infinite Elastic Body With Sliding and Adhesion

2007 ◽  
Vol 129 (3) ◽  
pp. 481-494 ◽  
Author(s):  
S. Hao ◽  
L. M. Keer
Keyword(s):  
Friction Coefficient ◽  
Normal Force ◽  
Analytic Solutions ◽  
Rolling Contact ◽  
Resistance Force ◽  
Surface Adhesion ◽  
Friction Resistance ◽  
Rigid Cylinder ◽  
Steady State Rolling ◽  
Adhesion Friction

Based on a hybrid superposition of an indentation contact and a rolling contact an analytical procedure is developed to evaluate the effects of surface adhesion during steady-state rolling contact, whereby two analytic solutions have been obtained. The first solution is a Hertz-type rolling contact between a rigid cylinder and a plane strain semi-infinite elastic substrate with finite adhesion, which is a JKR-type rolling contact but without singular adhesive traction at the edges of the contact zone. The second solution is of a rolling contact with JKR singular adhesive traction. The theoretical solution indicates that, when surface adhesion exists, the friction resistance can be significant provided the external normal force is small. In addition to the conventional friction coefficient, the ratio between friction resistance force and normal force, this paper suggests an “adhesion friction coefficient” which is defined as the ratio between friction resistance force and the sum of the normal force and a function of maximum adhesive traction per unit area, elastic constant of the substrate, and contact area that is characterized by the curvature of the roller surface.

NONLINEAR ANALYSIS OF VISCOELASTICALLY LAYERED ROLLS IN STEADY STATE ROLLING CONTACT

2014 ◽  
Vol 06 (06) ◽  
pp. 1450065 ◽  
Author(s):  
ALAA A. ABDEL RAHMAN ◽  
AHMED G. EL-SHAFEI ◽  
FATIN F. MAHMOUD
Keyword(s):  
Steady State ◽  
Viscoelastic Behavior ◽  
Rolling Contact ◽  
Creep Model ◽  
Viscoelastic Layer ◽  
Element Formulation ◽  
Equilibrium Equations ◽  
Lagrangian Finite Element ◽  
Steady State Rolling ◽  
Updated Lagrangian

The present paper analyzes the steady state rolling contact (SSRC) response of nonlinear viscoelastically layered rigid roll indented by a rigid cylindrical indenter. Both material and geometrical nonlinearities are accounted for in the framework of the updated Lagrangian finite element formulation. The Schapery's viscoelastic creep model is adopted to model the viscoelastic behavior. To accommodate the steady state rolling condition, the constitutive equations are recast into a spatially dependent incremental form. Throughout the contact interface, the Lagrange multiplier method is used to enforce the contact constraints, while the classical Coulomb's law is adopted to simulate friction. The resulting nonlinear equilibrium equations are solved by the Newton–Raphson method. The developed model is applied to analyze a viscoelastically layered rigid roll in steady state rolling and intended by a rigid cylindrical indenter. Results showed the distinct effects of angular velocity, retardation time, indenter radius, and viscoelastic layer thickness on the SSRC configuration.

The Rolling Contact of a Rigid Cylinder With a Viscoelastic Half Space

1961 ◽  
Vol 28 (4) ◽  
pp. 611-617 ◽  
Author(s):  
S. C. Hunter
Keyword(s):  
Elastic Problem ◽  
Rolling Contact ◽  
Inertial Forces ◽  
Viscoelastic Solid ◽  
Rolling Velocity ◽  
Rigid Cylinder ◽  
Viscoelastic Effects ◽  
Standard Linear Solid ◽  
Standard Linear ◽  
Intermediate Value

The problem of a rigid cylinder rolling on the surface of a viscoelastic solid is solved in an approximation in which inertial forces are neglected. With the introduction of viscoelastic effects, the symmetry associated with the corresponding elastic problem is destroyed, and in particular the cylinder motion is impeded by a resistive force. For a standard linear solid, the resulting coefficient of friction, a function of the rolling velocity V, tends to zero for small and large values of V, and attains a single maximum at an intermediate value.

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