THE ROLLING OF A WHEEL WITH A PNEUMATIC TYRE ON A PLANE

Citation
Vg. Vilke et Mv. Dvornikov, THE ROLLING OF A WHEEL WITH A PNEUMATIC TYRE ON A PLANE, Journal of applied mathematics and mechanics, 62(3), 1998, pp. 359-369
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
62
Issue
3
Year of publication
1998
Pages
359 - 369
Database
ISI
SICI code
0021-8928(1998)62:3<359:TROAWW>2.0.ZU;2-H
Abstract
A model of a pneumatic tyre as a system with an infinite number of deg rees of freedom is proposed, when its surface is represented by the de formed surface of a torus. Using a number of hypotheses a functional o f the potential energy of the deformations of the tyre is obtained as a function of the deformations of its tread. A complete system of equa tions of motion is obtained, assuming that the wheel rolls without sli pping in the area of contact of the tread with the plane, with respect to the previously unknown part of the tread. In two special cases of the rolling of a wheel with breakaway and on a banking, all the charac teristics of the motion (the contact area, the tyre deformation, and t he forces and moments applied to the disc of the wheel) are obtained. (C) 1998 Elsevier Science Ltd. All rights reserved.