Analysis of the Contact Deformation of a Radial Tire with Camber Angle

Abstract

The contact deformation of a radial tire with a camber angle, has been an important problem closely related to the cornering characteristics of radial tires. The analysis of this problem has been considered to be so difficult mathematically in describing the asymmetric deformation of a radial tire contacting with the roadway, that few papers have been published. In this paper, we present an analytical approach to this problem by using a spring bedded ring model consisting of sidewall spring systems in the radial, the lateral, and the circumferential directions and a spring bed of the tread rubber, together with a ring strip of the composite belt. Analytical solutions for each belt deformation in the contact and the contact-free regions are connected by appropriate boundary conditions at both ends. Galerkin's method is used for solving the additional deflection function defined in the contact region. This function plays an important role in determining the contact pressure distribution. Numerical calculations and experiments are conducted for a radial tire of 175SR14. Good agreement between the predicted and the measured results was obtained for two dimensional contact pressure distribution and the camber thrust characterized by the camber angle.

Grounding Characteristics of a Non-Pneumatic Mechanical Elastic Tire in a Rolling State with a Camber Angle

“…However, the research on the tire mechanics considering the effect of the camber angle is still relatively rare due to the complexity of the camber performance [25]. Kagami et al [26] proposed an analytical method to analyse the contact deformation of a tire with the camber angle, and the predicted results were compared with the measured results. El-Gawwad et al [27] presented a multispoke tire model to analyse the tire-terrain interaction and studied the effect of the camber angle on the tire performance.…”

FEA and Testing Studies on Static Camber Performance of the Radial Tire

“…Research showed that the tire vertical stiffness varies neither proportionally nor symmetrically as the slip angle of a cambered tire is changed. Kagami et al [3] presented an analytical approach to calculate the contact deformation of a radial tire with a camber angle. Kim et al [4] conducted theoretical and experimental studies on the contact pressure distribution of a radial tire in motion under various camber angles.…”