Mathematical models of tires and calculation of contact pressure on soil

Abstract

When developing a new vehicle for certain tasks, their various characteristics are compared: engine power, mass, payload, etc., the calculation of which is sufficiently reliable. The tire pressure on the contact spot is one of the most important characteristics for determining the index of the off-road flotation of a wheeled vehicle, the determination of which directly depends on the mechanical properties of the tire, the roadway and their interaction. Ground pressure is the pressure exerted on the soil by tires or traces of a motorized vehicle, and is one of the indicators of its potential mobility, especially on softer ground. This article is devoted to the study of tire models and methods for determining the pressure of a wheeled propeller on the soil. The article contains information on the interaction of the tire with different support surfaces, as well as various approaches to the issue of determining the flotation of wheeled vehicles. Modeling the real contact area or the contact profile of the tire provides certain difficulties. Most solutions are based on a contact profile using a helix or an equivalent hard wheel, using a larger hypothetical wheel radius. One of the main models for calculating the tire's contact pressure on the soil is the MMP developed by D. Rowland to assess the maximum pressure of various tires intended for off-road and tracks on soft soils. It is established that, despite scientific achievements in the field of vehicle patency, there are still difficulties in determining the optimum parameters of the wheeled propulsion device to achieve the maximum mobility and environmental friendliness.