Closure to “Discussion of ‘The Determination of Stresses in Rolling-Contact Elements’” (1967, ASME J. Lubr. Technol., 89, pp. 463–464)

1967 ◽  
Vol 89 (4) ◽  
pp. 464-465
Author(s):  
J. W. Kannel ◽  
J. A. Walowit ◽  
J. C. Bell ◽  
C. M. Allen
Keyword(s):  
Rolling Contact

Analytic Determination of Slip and Efficiencies of Rolling Contact C.V.T.’s With Experimental Verifications

1986 ◽  
Vol 108 (1) ◽  
pp. 72-76 ◽  
Author(s):  
J. Modrey ◽  
Y. K. Younes
Keyword(s):  
Computer Simulation ◽  
Rolling Contact ◽  
Analytic Determination ◽  
Continuously Variable Transmissions ◽  
Fluid Properties ◽  
Good Guide ◽  
Parallel Tests

Rolling contact continuously variable transmissions (C.V.T.) transmit forces through a highly viscous spot between rolling-slipping contacts. The mechanics of the spot are characterized by complex elastohydrodynamic conditions and fluid properties only partially determinable at the extreme pressures of operation. A computer simulation of the spot mechanics based on extensions of research in less complex elastohydrodynamic situations was developed. Comparisons with parallel tests on a commercial C. V. T. verify that the simulation described in a good guide to design of this class of transmissions.

scholarly journals On a Simplified Model for Numerical Simulation of Wear During Dry Rolling Contacts

2008 ◽  
Vol 131 (1) ◽  
Author(s):  
L. Chevalier ◽  
A. Eddhahak-Ouni ◽  
S. Cloupet
Keyword(s):  
Contact Area ◽  
Power Distribution ◽  
Contact Problems ◽  
Rolling Contact ◽  
Normal Loading ◽  
Fast Determination ◽  
Wear Process ◽  
Simplified Approach ◽  
Rolling Contacts

We deal with rolling contact between quasi-identical bodies. As normal and tangential problems are uncoupled in that case, the simplified approach to determine contact area and normal loading distribution for rolling contact problems is presented in Sec. 2. In Sec. 3, the solution of the tangential problem is used to update the rolling profiles and enables to follow the wear evolution versus time. The method used to solve the normal problem is called semi-Hertzian approach with diffusion. It allows fast determination of the contact area for non-Hertzian cases. The method is based on the geometrical indentation of bodies in contact: The contact area is found with correct dimensions but affected by some irregularities coming from the curvature’s discontinuity that may arise during a wear process. Diffusion between independent stripes smoothes the contact area and the pressure distribution. The tangential problem is also solved on each stripe of the contact area using an extension of the simplified approach developed by Kalker and called FASTSIM. At the end, this approach gives the dissipated power distribution in the contact during rolling and this power is related to wear by Archard’s law. This enables the profiles of the bodies to be updated and the evolution of the geometry to be followed.

Finite Element Analysis of Rolling Contact Problems Using Minimum Dissipation of Energy Principle

1998 ◽  
Vol 65 (1) ◽  
pp. 271-273 ◽  
Author(s):  
S. K. Rathore ◽  
N. N. Kishore
Keyword(s):  
Finite Element ◽  
Contact Region ◽  
Contact Problems ◽  
Rolling Contact ◽  
Element Analysis ◽  
Energy Principle ◽  
Dissipation Of Energy ◽  
Rolling Surface ◽  
Strain Stress

In steady rolling motion, the loads and the fields of strain, stress, and deformations do not change with time at the contact region, as the contact region is continuously being formed by a new rolling surface. The principle of minimum dissipation of energy and the concept of traveling finite elements are made use of in solving such problems and the determination of micro-slips. The conditions of contact are discovered by use of the kinematic constraints and the Coulomb’s law of friction. A two-dimensional plane-strain finite element method along with the iterative procedure is used. The results obtained are in good agreement with expected behavior.

Second Paper: Analysis of Spin/Roll Conditions and the Frictional-Energy Dissipation in Angular-Contact Thrust Ball Bearings

1966 ◽  
Vol 181 (1) ◽  
pp. 349-362 ◽  
Author(s):  
J. Hailing
Keyword(s):  
Sliding Friction ◽  
Paper Analysis ◽  
Rolling Contact ◽  
Ball Bearings ◽  
Thrust Bearings ◽  
Frictional Energy ◽  
Coefficient Of Sliding Friction ◽  
Tangential Surface ◽  
Frictional Energy Dissipation

In current analyses of the contact conditions in angular-contact ball bearings it is assumed that sliding occurs in all regions where tangential surface tractions are operative. Other work in similar rolling-contact situations has, however, demonstrated that some of this slip requirement may be accommodated by the elastic surface deformations. This type of analysis leads to areas of sliding and sticking coexisting within the contact areas. These concepts are here applied to angular-contact thrust ball bearings and lead to some interesting deviations from the results obtained using the complete slip analysis. In particular, these concepts of microslip enable the determination of the spin/roll ratio at each race contact. Detailed calculations for conical ball thrust bearings illustrate the main discrepancy of the full slip analysis in over-estimating the frictional-energy losses, such discrepancies being most marked with decreasing contact angle, increasing pitch/ball radii, and increasing coefficient of sliding friction.

The Determination of Stresses in Rolling-Contact Elements

1967 ◽  
Vol 89 (4) ◽  
pp. 453-463 ◽  
Author(s):  
J. W. Kannel ◽  
J. A. Walowit ◽  
J. C. Bell ◽  
C. M. Allen
Keyword(s):  
Dynamic Contact ◽  
Rolling Contact ◽  
Local Pressure ◽  
Static Contact ◽  
Pressure Spike ◽  
Shear Reversals ◽  
The One ◽  
Mechanical Shearing ◽  
Stress Patterns

Stress patterns in lubricated rolling-contact elements have been computed from surface pressures and temperatures between pairs of rolling disks, both cylindrical or both crowned, measured by means of evaporated surface transducers. The maximum mechanical shearing stresses computed for both cylindrical and crowned disks proved to be nearly equal to those that would have occurred under static contact, but the calculated depth of those stresses was reduced for cylindrical rollers in dynamic contact. The maximum shear reversals computed for rolling cylindrical disks were noticeably below the corresponding shear differences for the static cases. Local pressure anomalies, such as the pressure spike in the one particular case chosen for investigation, did not seem to alter significantly the shear-stress patterns. Thermal shearing stresses do not appear to be a significant portion of the maximum stress but do dominate over mechanical shearing stresses near the surface of the elements.

Experimental determination of adhesion and slip areas in rolling contact

1970 ◽  
Vol 5 (3) ◽  
pp. 193-199 ◽  
Author(s):  
E Ollerton ◽  
R Pigott
Keyword(s):  
Steady State ◽  
Experimental Determination ◽  
Experimental Technique ◽  
Contact Area ◽  
Rapid Determination ◽  
Glass Plate ◽  
Rolling Contact ◽  
Ground Glass ◽  
Steady State Rolling

An experimental technique has been developed to allow the rapid determination of adhesion and slip areas in steady-state rolling contact. The technique consists in rolling solid black-rubber toroids on a ground-glass plate under carefully controlled conditions. It enables the division of the contact area into slip and adhesion areas to be observed and photographed whilst rolling is taking place. A loading frame was devised to enable rolling with longitudinal shearing traction, rolling with transverse creep, and rolling with spin to be investigated either separately or in combinations. The results of the experiments have been compared with existing theories, and some conclusions as to the accuracy of the theories have been made.

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