Year: 2026
Type: article
Abstract: In this paper, the model of a rigid wheel is analysed with a pure rolling contact with a horizontal rigid plane. The profile of the wheel is assumed to be an ellipse, which shape can be used for approximating various profiles in vehicle wheels. The elliptic profile can still be a basis of analytical solution, and in the same time, includes qualitatively new types of behaviour compared to the special cases of thin wheels and toroidal wheels known in the literature. The full nonlinear differential equations are derived and compared to the related known cases of equations. The two-parametric set of steady motions are calculated. We show that because of the elliptical profile, the qualitative dynamics significantly changes compared to the classical thin wheel and even to the toroidal wheel. Through bifurcations, four scenarios are found with different dynamical behaviours and stability of the solutions.
Source: Nonlinear Dynamics
Authors: Gabor Kupi, Mate Antali
Institution: Széchenyi István University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,790
Award: G9000356126
OpenAlex ID: W7213463582