Analytical determination of application point and normal reaction arm when rolling a wheel on a drum

Maria Karelina,Alexey Mamaev,Tatyana Balabina,M Kulev,S Roshchupkin

doi:10.1051/matecconf/202134100039

Abstract

Evaluation of the rolling resistance of car tires is now often performed on drum stands like car tests. This necessitates the study of the mechanics of interaction between the wheel and the drum in order to determine its force and kinematic characteristics, including the values and points of application of tangential and normal forces in contact with the drum. These problems can be solved taking into account that the mechanics of elastic wheel rolling on a drum is the same as when rolling on a flat rigid support surface. In this paper, from consideration of the mechanics of interaction between an elastic wheel and a drum, using the equations of power balance and force equilibrium of the wheel, the equations for determining the point of normal reaction in contact and its arm relative to the wheel axis during its rolling along one and two drums have been derived.. These dependencies have a simple form and can be applied when considering the rolling of both a single wheel and the car as a whole on a drum stand.

Highlights

When testing tires on a drum test stand, as well as cars, one should take into account the change in rolling conditions of the wheels [1 – 8] compared to rolling on a flat surface. This necessitates the study of the mechanics of interaction between the wheel and the drum in order to determine its force and kinematic characteristics, including the values and points of application of tangential and normal forces in contact with the drum
These problems can be solved taking into account that the mechanics of elastic wheel rolling on a drum is the same as when rolling on a flat rigid support surface [9 – 19]
In the case of interaction between a wheel and a rigid drum, as in the case of rolling on a flat support surface, there is a redistribution of normal pressures along the contact area and, as a consequence, a shift of the application point of the normal reaction of the drum relative to the center of the wheel (Fig. 1)

Summary

Introduction

When testing tires on a drum test stand, as well as cars, one should take into account the change in rolling conditions of the wheels [1 – 8] compared to rolling on a flat surface. In the case of interaction between a wheel and a rigid drum, as in the case of rolling on a flat support surface, there is a redistribution of normal pressures along the contact area and, as a consequence, a shift of the application point of the normal reaction of the drum relative to the center of the wheel (Fig. 1).

Results

Conclusion