Mathematical modeling of motion of lorry convoy on the deformable support surface in view of emerging dynamic processes

Abstract

An approach to mathematical modeling of motion of lorry convoy on the deformable supporting surface, taking into account dynamic processes, including re-distribution of normal reactions on the wheels and the oscillatory nature of the interaction forces units trailed the train are discussed. The mathematical dependence allowing to describe dynamic processes, characteristic for movement of trains: fluctuations in the thrust on the tow hook of lorry convoy in the function of the structural parameters of the towing device of the tractor; the geometric parameters of the joint "tractor - trailer" and is given the coefficient of resistance to movement of the train and the redistribution of normal reactions on the wheels of the train taking into account the applicable forces and moments, dimensional parameters of the tractor and trailer link and their changes due to the immersion of the moving vehicle into a deformable supporting surface. Article describes the dynamic processes of redistribution of normal reactions in the wheels of the train and fluctuations in the strength of interaction links of trailer road train, influencing the parameters of its motion for deformable bearing surface. The dependences, describing the redistribution of normal reactions on the wheels of the trailer, take into account the forces and moments, geometric parameters of the tractor and trailer link and their change due to the immersion of the moving vehicle into a deformable supporting surface. Dependences are aimed at further deepening of the theory of special dynamics of the trains, especially with regard to his motion on a deformable support surface, and can be used in the modelling of soft start and rectilinear uniform motion of this type of vehicle. They are common on vehicles used in various sectors of economic activity and in the army.