A 2D Quasi-Static Nonlinear Tire Model with Numerical Approximations

Tires are the interface between a vehicle and the ground, through which forces and moments are generated. They are therefore critical components of a vehicle, creating a need to estimate their performance under various conditions. The tire model proposed in this study models the tire as an elastic beam on an elastic foundation, similar to a flexible ring model but with more nonlinear terms justified and included. It offers quick and accurate estimates for spindle force and longitudinal pressure distribution with little computational effort. The model is analytically derived with the energy method, building strong connections among the model parameters and physical properties of the tire. It is then solved with numerical approximations. The simulation results show good alignment with the experimental data.