A model for forces on tire-ground contact region

Résumé

The existing tire models are basically of three kinds: essentially empirical ("magic formulas"), or mixed empirical/analytical, or extremely complex theoretical models almost useless in practical situations. The model here proposed does not require any empirical data, and presents a simple theoretical approach very suitable to use in project and analysis of real suspension systems. This paper presents a physical and mathematical model for some forces on tire-ground contact region of pneumatic car tires. It is a theoretical model, in the sense that it does not require any empirical data. It is based on the perfectly flexible and quasi-inextensible membrane theory, and its formulation does not rely on any tire material propertyit is exclusively geometric. Some of calculated results from this model were compared with measured data from four quite different types of tires, showing quite good approximation in all cases. This formulation, assuming small displacements, is one additional step to a more comprehensive model of the tire dynamic behavior, which will be published later.

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