This paper presents the results of a study of the interaction of the wheel tire with the support surface of the support-running module during the movement of the wheeled vehicle. The creation of a mathematical model of the movement of the wheel on the support base of the support-running module is given. For this, a design scheme for the movement of the wheel along the supporting surface of the support-running module was presented, and the following equations were given: the dynamics of the drive wheel; normal reaction and reaction vector of the interaction of the wheel tire with the support base; partial slip friction coefficient for cohesive soils and slip coefficient. Simulation modeling was carried out using the MATLAB Simulink environment, which allows, on the basis of a given mathematical model, to study the system being developed. When using this system, there is a reduction in the cost of expensive physical prototypes and an increase in the quality of products, as a result of an increase in the accuracy of calculations.

Keywords: wheel tyre, suspension module, wheeled vehicle, MATLAB Simulink, mathematical model, modeling