1. INTRODUCTION
The tractive and braking performance of tires on ice has drawn much
attention from the researchers around the world, as it is closely
related to the vehicle active safety system. It is important, for
example, to know how the Anti-lock Brake System (ABS) will
perform for a car running on icy roads. In order to consider the tire
performance under such conditions as part of the vehicle control
system, an adequate tire model is needed; this effort includes the
model development, the parameterization of the model, and the
collection of the experimental tire-ice data needed for model
parameterization and validation.
A relatively small number of previous studies focused on the
mathematic model that predicts the traction performance of tire on ice
and could be possibly used on the vehicle control system. A model of
traction force in the tire contact patch on ice was proposed by Hayhoe
[1] assuming that the contact patch could be divided into two regions:
a dry sliding region and a water flm region. Based on the same
assumption, subsequent models for predicting the traction force of
tire on ice, with higher accuracy and simpler expression relative to
the model in [1], were developed by Peng [2, 3]. However, none of
those models takes into account the non-uniformity of the pressure
distribution in the contact patch, which a modular-structured model,
proposed by Bhoopalam [4], does. Furthermore, while the
aforementioned models are shown to predict the tractive performance
of tire on ice within an acceptable tolerance, none of them account
for the lateral dynamics properties of tires, which are critical in
predicting the lateral forces. Therefore, such models may not be
suitable for use in the vehicle control system that has to control the
lateral dynamics. For these control systems, a modifed version of the
Dugoff tire model could be employed to characterize the lateral and
the longitudinal tire forces in the sideslip angle and road friction
estimation [5, 6, 7].
Experimental testing of tires on ice can illustrate the infuence of
operational parameters on the tractive, braking, and handling
performance of a tire, and can provide the necessary validation data
for tire-ice interaction models, as well as for the parameterization of
Investigating the Parameterization of Dugoff Tire
Model Using Experimental Tire-Ice Data
Rui He and Emilio Jimenez
Virginia Tech.
Dzmitry Savitski
Technische Universitat Ilmenau
Corina Sandu
Virginia Tech
Valentin Ivanov
Technische Universitat Ilmenau
ABSTRACT
Tire modeling plays an important role in the development of an Active Vehicle Safety System. As part of a larger project that aims at
developing an integrated chassis control system, this study investigates the performance of a 19” all-season tire on ice for a sport utility
vehicle. A design of experiment has been formulated to quantify the effect of operational parameters, specifcally: wheel slip, normal
load, and infation pressure on the tire tractive performance. The experimental work was conducted on the Terramechanics Rig in the
Advanced Vehicle Dynamics Laboratory at Virginia Tech. The paper investigates an approach for the parameterization of the Dugoff
tire model based on the experimental data collected. Compared to other models, this model is attractive in terms of its simplicity, low
number of parameters, and easy implementation for real-time applications. The relations correlating tire forces with slip ratios were
identifed by applying zero-phase fltering techniques to the raw test data. Next, an optimization procedure was utilized to extract
parameters for the Dugoff tire model from the tire-on-ice drawbar pull coeffcient versus slip ratio at certain levels of normal load and
infation tire pressure.
CITATION: He, R., Jimenez, E., Savitski, D., Sandu, C. et al., "Investigating the Parameterization of Dugoff Tire Model Using
Experimental Tire-Ice Data," SAE Int. J. Passeng. Cars - Mech. Syst. 10(1):2017, doi:10.4271/2016-01-8039.
Published 09/27/2016
Copyright © 2016 SAE International
doi:10.4271/2016-01-8039
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