Interact of the tractor driving wheels with the soil by considering the rheological properties of soils

The work offers a mathematical model of interaction of the tractor driving wheels with the soil. A rheological model is used as a law of shear deformation of soils as the principal law of linear deformation. Calculation formulae of tangential force and traction coefficient of the driving wheels are deduced. A numerical example and graphs are used to demonstrate that the theoretical results are quite close to the experimental data. Dependence of the traction coefficient of the deformable wheel with the ground allows analyzing the impact of rheological indicators of grounds and geometric and regime parameter of a wheel rolling and using a more grounded approach to the analysis of the problematic issues of dynamics of wheeled tractors. As it can be seen from formulae the tangential traction force and traction coefficient of an elastic wheel necessary to overcome the forces of friction, shear and ground cutting depend on normal load mg, acting on the wheel, wheel parameters rheological properties of the ground and movement regime.