Abstract
The article is devoted to the search for a mathematical model convenient for practical calculations to determine the critical value of the angle of gradient for the tractor-mounted heavy tilther. It shows the existing mathematical model, which is then refined based on the stiffness of the elastic tractor wheels and their vertical reactions offset. Three methods of solving the resulting equations are analyzed, upon which the optimal one is chosen. As a result, a simple and convenient in practice mathematical model to determine the critical value of the angle of gradient for the tractor-mounted implement is obtained. The analysis of the calculation results showed that depending on the operating conditions and the weight of the tractor counterweight, the differences between the results calculated using the traditional and refined models can reach more than 4 degrees, which is very important to ensure the hill climbing safety.
Highlights
Despite the great success in the development of agricultural machines, the safety problem of their operation in difficult terrain is very acute
Give the formula to calculate the critical value of the unit angle of gradient, which is usually used for practical calculations
The research shows that the most convenient for practical calculations to determine the critical value of the unit angle of gradient is the mathematical model relevant to the third calculation method
Summary
Despite the great success in the development of agricultural machines, the safety problem of their operation in difficult terrain is very acute. In 53 countries, mountain areas cover more than 50% of the country’s territory [1]. Injuries when using tractors in agriculture are very high, especially when cultivating fields located in the mountain area, it is not infrequent for machines overturn, which often result in fatalities [2-3]. A number of scientists consider the need to equip agricultural machines with various safety devices as one of the ways to reduce injuries in agriculture [4]. Many scientists prefer to improve the design of the tractor itself, designed to operate in difficult conditions [10-12]
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