Abstract
The article presents a mathematical model of the interaction of an elastic wheel with bumps of a rectangular shape. In the study of the process of movement of a wheeled machine is of great importance to calculate the forces applied to the wheel of the vehicle. These forces determine the nature of the movement of the wheeled vehicle. With an increase in the speed of wheeled vehicles and the deterioration of road increase the dynamic load on the elements of the running system. In this regard, there is a need to develop a mathematical model describing the interaction of the wheel of the wheeled vehicle with the road. The proposed mathematical model describing the rolling of a wheel equipped with a pneumatic tyre through a rectangular obstacle can be used for practical calculations. The results of the calculation are in good agreement with the results of experimental studies, taking into account the complexity of the processes and fairly rough assumptions. The average error of calculation of forces of interaction of a wheel with an obstacle of the rectangular form makes 7.71%.
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