This paper presents a new, efficient method for two-dimensional modeli
ng of the forces that the tire exerts on the rim during large deformat
ions. This approach uses an inextensible, circular membrane to approxi
mate the shape, and a nonlinear term to account for forces that result
from the elastic deformation of the sidewall. The elastic term is not
directly related to the tire's physical parameters, and thus adds an
empirical component to the model. However, this component may be deter
mined easily from simple tests. Experimental and analytical correlatio
ns are given demonstrating the improved cost/accuracy performance of t
he new tire model. The comparisons encompass both low speed and high s
peed tire contact with obstacles.