Parameterization process of the Maxwell model to describe the transient force behavior of a tire

Paper #:
  • 2017-01-1505

Published:
  • 2017-03-28
Abstract:
With increasing level of complexity and automation in the area of automotive engineering, the simulation of safety relevant Advanced Driver Assistance Systems (DAS) leads to increasing accuracy demands in the description of tyre contact forces. This includes the consideration of dynamic effects, such as the delayed reaction in longitudinal and lateral tyre forces to dynamic changes of slip in the tyre road contact patch. Often, this behaviour is characterized by a first-order differential equation which describes the deflection of particles in the tire’s tread by considering a spring and a damper element in parallel, also known as Kelvin-Voigt model. Based on previous investigations the proposed article deals with the experimental validation of the first-order Kelvin-Voigt model based on measurement data from an industrial flat track test bench. First investigations showed that for selected operational points, these simple models show good compliance. However, when aiming to run vehicle dynamics models with under a frequency of excitation up to 8 Hz, these models deliver remarkable deviations from measured characteristics. To overcome this limitation, an enhancement of the semi-physical tyre model TMeasy is able to cover these transient conditions for a high range of excitation frequencies by implementing the characteristics of the nonlinear lateral stiffness and a Maxwell element in order to model the dynamic hardening of the elastomer materials of the tire. The extended model approach is validated by measured data and compared with the initial approach (Kelvin-Voigt model) and with respect to different normal forces. Additionally deeper focus will be held on the testing procedure to parametrise the model described under the condition of practical applicability from the engineering point of view. Finally the improvements of the extended model will be discussed and an outlook for future work will be given.
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