Abstract
The static loading of a wheel pair with a deformable periphery is considered when the wheels are mounted on a common axle with a non-zero camber angle. A tire tread (protector) is modeled by a set of elastic rods interacting with the motion plane according to the dry friction law. The wheel camber effect on the slip in the contact zone and on the magnitude of reaction forces from the road is studied. An analog of the continuous model for a rod tread is discussed. The normal and tangential reaction forces are found depending on the vertical displacement of the center of the mechanical system under discussion.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. G. Vil’ke and G. V. Gusak, “A Model of a Reinforced Tyre with a Rod Protector,” Prikl. Mat. Mekh. 75 (3), 435–448 (2011) [J. Appl. Math. Mech. 75 (3), 308–316 (2011)].
V. G. Vil’ke, Analytical Mechanics of Systems with Infinite Number of Degrees of Freedom (Mosk. Gos. Univ., Moscow, 1997) [in Russian].
I. V. Novozhilov, Fractional Analysis (Mosk. Gos. Univ., Moscow, 1995; Birkhäser, Boston, 1997).
M. A. Levin and N. A. Fufaev, Theory of Rolling of a Deformable Wheel (Nauka, Moscow, 1989) [in Russian].
H. B. Pacejka, Tyre and Vehicle Dynamics (Butterworth Heinemann, Oxford, 2005).
L. S. Leibenson, Short Course on the Theory of Elasticity (Gostekhizdat, Moscow, 1942) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © G.V. Gusak, 2018, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2018, Vol. 73, No. 4, pp. 40–47.
About this article
Cite this article
Gusak, G.V. Reaction Forces under Static Loading of a Wheel Pair with Camber. Moscow Univ. Mech. Bull. 73, 84–90 (2018). https://doi.org/10.3103/S0027133018340039
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027133018340039