Abstract: The research is devoted to a mathematical description of the progress of mechanical soil erosion on sloping fields. The mechanical soil erosion means the movement of the soil down the slope by the working bodies of tilling and seeding machines. The dependence of mechanical erosion on the slope gradient, the parameters of the working body and the driving direction of the machine relative to the field horizontal is given. The obtained mathematical model allows to determine the permissible limits for changing the parameters of the working body and to indicate the optimal driving direction of the machine relative to the field horizontal. This model also shows that in order to preserve fertile soil in sloping fields it is necessary to combine the efforts of farm machinery developers to select the necessary parameters of working bodies for sloping fields and the efforts of farm workers to ensure the correct movement of the machine on the field to reduce mechanical erosion.
Zinnur Rakhimov, Salavat Mudarisov, Ildar Gabitov, Ildar Rakhimov, Rais Rakhimov, Ildar Farkhutdinov, Maksim Tanylbaev, Irek Valiullin, Marsel Yamaletdinov and Raushan Aminov, 2018. Mathematical Description of the Mechanical Erosion Process in Sloping Fields. Journal of Engineering and Applied Sciences, 13: 6505-6511.