Abstract

In order to investigate the dynamic behaviour of tires on extreme irregularities on the road, a 10 degrees of freedom lumped 2D quarter vehicle model, comprising the two point rigid ring follower tire model, is presented and implemented in Matlab Simulink. The simulation results of tire impact against a step on the road, at various speeds and step heights, are compared to the results achieved by the FE analysis of the same problem.

Highlights

  • This paper deals with a relatively fast, yet still fairly accurate simulation of the dynamic behavior of a tire impacting an obstacle

  • The enveloping model produces from the real road profile the effective profile which is used as input to the quarter vehicle model to obtain the dynamic response

  • In the simulation process of rolling the wheel over the road obstacle, the actual road is replaced with the effective road profile, where the enveloping characterics depend on the horizontal position of the wheel center

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Summary

Introduction

This paper deals with a relatively fast, yet still fairly accurate simulation of the dynamic behavior of a tire impacting an obstacle. Among various papers [1,2] which gave different approaches to the problem, [3] studied a quarter vehicle with different contact, i.e. follower models: point contact, constant footprint, rigid ring, two point and five point rigid ring followers. Compared to the industrial Flexible ring tire model (Ftire) in Simpack, the two point rigid ring follower model was found to be the most accurate. The idea of the two point follower model originates from [4], where the enveloping model with tandem elliptical cams was introduced and implemented as part of a 3D semi-empirical dynamic model of a tire rolling on uneven, but gradually changing road paths.

The 2D mechanical model for Matlab Simulink implementation
The quarter vehicle model with the rigid ring tire model
The enveloping tire model – the tandem model with elliptical cams
The finite element model of the quarter vehicle
Comparison of results
Conclusion

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