A semi-empirical, three-dimensional, tyre model for rolling over arbitrary road unevennesses

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Authors: A.J.C. Schmeitz, Hans B. Pacejka
Cited by: 13

Abstract

In this paper a three-dimensional effective road surface description is introduced and a new three-dimensional enveloping tyre model is proposed. This new enveloping tyre model is used in combination with the well-known rigid ring dynamic tyre model to simulate both tyre in-plane and out-of-plane forces and moments. Simulation results of the tyre rolling over several oblique cleats have been compared with measurements for both the quasi-static rolling tyre and the tyre impacting cleats at high velocities. It is shown by comparing simulation results with measurements for both cases, that the proposed model works rather well.

Fields of Study & Subjects

Vehicle Dynamics and Control Systems Mechanical Engineering and Vibrations Research Soil Mechanics and Vehicle Dynamics

Publication details

Journal / source
The Dynamics of Vehicles on Roads and on Tracks Supplement to Vehicle System Dynamics
Publisher
CRC Press
Volume
41
Pages
341–350
Publication date
30 January 2026
Language
EN
Document type
Book chapter