Mathematical Background of Simulation Modeling of Material Transfer Process Between the Working Objects

The aim of this work is to form the mathematical background for simulation modeling of material transfer process between the working objects. The model experiment was arried out to determine inherent specifications of elementary motion of finite capacity between working objects: scoop, loading bucket and large-capacity electric arc furnace. There was proposed the scheme of material transfer process between the working objects on background of model experiment results. There were identified the assumptions in mathematic model. It was proposed to use the two-stage matrix model with mappings as a set of functions. The authors put forward the hypothesis of transferring process between the working objects as the continuous stream of particles. This process takes place under the influence of gravity with the limitations for filling the empty space of the working object.