Abstract
AbstractThis paper establishes new analytical results in the mathematical theory of brush tyre models. In the first part, the exact problem which considers large camber angles is analysed from the perspective of linear dynamical systems. Under the assumption of vanishing sliding, the most salient properties of the model are discussed with some insights on concepts as existence and uniqueness of the solution. A comparison against the classic steady-state theory suggests that the latter represents a very good approximation even in case of large camber angles. Furthermore, in respect to the classic theory, the more general situation of limited friction is explored. It is demonstrated that, in transient conditions, exact sliding solutions can be determined for all the one-dimensional problems. For the case of pure lateral slip, the investigation is conducted under the assumption of a strictly concave pressure distribution in the rolling direction.
Funder
VINNOVA
Chalmers University of Technology
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
25 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A physical tire model for real-time simulations;Mathematics and Computers in Simulation;2024-09
2. Finite element modelling of linear rolling contact problems;ESAIM: Mathematical Modelling and Numerical Analysis;2024-09
3. An enhanced motorcycle tyre model characterised through experimental riding data;Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering;2024-05-02
4. Transient lateral dynamic behavior of tire on μ-step road;Meccanica;2023-11-21
5. Transient tyre models with a flexible carcass;Vehicle System Dynamics;2023-08-30