Building a mathematical model of wedge-soil interaction process

Abstract

The authors consider the procedure of building mathematical models of stability of mechanical systems functioning as described in Lyapunov theory used for solving the tasks of agricultural mechanics. The authors describe the results of agricultural machines operation analysis. The authors build the dependencies which can help define soil pulverization angle for various tillage depths based on the given parameters. These dependencies help define the parameters of dynamical systems reducing their energy consumption, improving qualitative indicators and creating the conditions for equipment performance improvement. The described model of the physical essence of wedge-soil interaction process is widely used for solving various tasks of justification the parameters of tilling mechanisms. However, the physical essence of processes occurring in the tilled soil layer under the influence of a wedge has not been studied sufficiently enough. When using any stability theory, it is important to define ultimate strain values causing material deformations leading to the destruction of the initial structure. Ultimate stress values can be easily defined by experiment only for stretching strain and compressional strain. Consequently, to define the strains occurring in soil under the influence of wedge, we can accept a hypothesis that a tilled soil layer splits away from the elastic mass by bending.