Abstract

In the present paper, the contact of area, which is produced between a pair of bodies (flat surface and hemi-cylindrical shape), has been studied under the effect of slippage occurrence, where it represents one of the important problems in the mechanical engineering, especially in robotic design. Many parameters have been studied, like frictional forces, equivalent stresses, friction coefficient, and contact area of deformation. The behavior of these parameters has been monitored during the slippage that is generated between the flat surface made from cast alloy steel and the other part made from rubber. The finite element method (FEM) with SOLIDWORKS software was used to simulate this contact area under the slippage effect. The results of the simulation showed a significant behavior, particularly at the beginning of slippage and the stage of (stick-slip) phenomena, in other words, the simulation outputs indicated that the slippage influence has an important behavior, especially when the phenomena of both slippage and stick-slip stage start to occur. These analyses are intended to understand how the contact area affected to design measures to prevent the slippage occurrence and the damage in contacted bodies.

Highlights

  • Due to the specific importance of the frictional contact in machines, the phenomenon of slippage has converted into one of the important topics in robotic hand design and other uses, for example, rubber ball on a surface and tire on a surface

  • Figures (12, 13 and 14) demonstrate the same behavior of equivalent stress in (Case 1); this leads to conclude that the frictional force affects the equivalent stress behavior more than the normal force, where it affects the level of the stress [13]

  • 5 -Conclusion: From the results of this study, the following conclusions can be drawn: 1- The numerical analysis for the two contacted bodies elucidated good results (Von-Mises stress, Frictional forces), since these results evinced a good agreement with the physical phenomena, like static to kinetic frictional transition mode and slip-stick behavior or friction induced vibration

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Summary

Introduction

Due to the specific importance of the frictional contact in machines, the phenomenon of slippage has converted into one of the important topics in robotic hand design and other uses, for example, rubber ball on a surface and tire on a surface. Many parameters have been studied, like frictional forces, equivalent stresses, friction coefficient, and contact area of deformation. The derivation of relation between the contact area width and the perpendicular (normal) force for the contacts of a hemi-cylindrical object with a flat surface, as shown in the figure (2): Fig (2): Model of the non-linear elastic hemi-cylinder contacting flat surface

Results
Conclusion
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