Methods of modeling forest soil in interaction with the attachments of forest machinery

The developed technique of mathematical description of structurally complex forest soil and vegetation community is presented on the basis of the finite element method within the framework of modeling the work of forest tillage aggregates. The soil is thus represented in the form of spherical-shaped elements interacting in a certain way with each other, as well as with the working surfaces of forest machines. It was noted that the interaction of soil particles is of viscoelastic nature. An algorithm for calculating the forces of elements interaction is presented, depending on their spacing. Composed equations of motion describing the change in the dynamic state of the soil over time are presented. Movement of spherical elements within the framework of the mathematical model is considered in a rectangular parallelepiped with specified dimensions. The authors noted the possibility of modeling the interaction of the forest machines attachments with the soil environment, including, in particular, the roots of plants, which are presented by a set of spherical elements located in a geometric region that has the form of the cylindrical upper part of the root system, which transforms smoothly into the roots of a conical shape. The initial allocation of the particles that make up the root of the plant is done by spacing a certain number of base points along the axial lines with an equal step.