Title: An analytical model of pneumatic tyres for vehicle dynamic simulations. Part 1: Pure slips

Authors: G. Gim, P.E. Nikravesh

Addresses: Aerospace and Mechanical Engineering Department, The University of Arizona, Tucson, Arizona 85721, USA. ' Aerospace and Mechanical Engineering Department, The University of Arizona, Tucson, Arizona 85721, USA

Abstract: This study presents an analytical approach for determining tyre dynamic properties in a sequence of three papers. Most of the necessary parameters are determined using tyre geometry, orientation and some experimental data. Explicit formulations are derived analytically for the tyre dynamic properties as functions of the slip ratio, slip angle, camber angle and other tyre dynamic parameters. These formulations can be used for the general vehicle simulations in braking/traction and steering manoeuvres with a varying camber angle on regular or irregular terrains. In the first paper a brief review of some previous studies is given. Tyre modelling, contact, slip and friction properties are also studied. Tyre forces and moments due to pure slips are investigated. An algorithmic procedure is provided, in the summary for computational purposes. In the second paper, tyre forces and moments due to comprehensive slips are studied. Finally, in the third paper these analytical models are validated against some experimental data.

Keywords: camber angle; contact; friction properties; lateral force; longitudinal force; normal force; pure slips; self-aligning torque; slip angle; slip ratio; tyre dynamic properties; tyre modelling; analytical models; pneumatic tyres; vehicle dynamics; dynamic simulation; vehicle design.

DOI: 10.1504/IJVD.1990.061602

International Journal of Vehicle Design, 1990 Vol.11 No.6, pp.589 - 618

Published online: 26 May 2014 *

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