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The tasks were considered, which are related to the working bodies for the artificial food products movement according to the specified movement law and their positioning in the intermediate positions of the kinematic cycle.Materials and methods. The actuators dynamics characteristics and control system of power part of positional electro-pneumatic actuators were researched. The methods of mathematical and computer modeling, and methods of solving ordinary differential equations and partial differential equations and method of correlation analysis were used. Results and discussion. The analytical dependences for determining the kinematic parameters of the artificial product movement with the mechanism of collision, which is based on the pneumatic actuator, are obtained. The dynamical model of the actuator is mathematically tested and the movement law of the collision mechanism, which is approximated to the optimal speed, is obtained. To analyze the loading process of the working link of the positional actuator, the model of a generalized control system is used, which is limited by the one full cycle of operation of the functional mechatronic module of the packing machine. Such a model allows to describe the overload process, both in the case of full and partial filling of the working cycle. This is important when packing products in different geometric shapes of consumer packaging, which is typical of modern packaging machines. The simulation model of the actuator is theoretically substantiated and confirmed, which has a number of advantages, unlike the existing structures of positional drives in packaging machines. Сalculated difference, during mathematical modeling, of the value of the working time of the output stage of the functional mechatronic module for the processing of the kinematic cycle of the operation of the packaging machine was for the various input parameters of the limit to 7%. The results of the mathematical modeling of dynamics for a positional pneumatic actuator, with the condition of changing the cross section of the exhaust hole, gave the opportunity to obtain the kinematic characteristics of the drive. Conclusions. The results of mathematical modeling for positional pneumatic actuators with the condition of changing the section of the exhaust hole allowed to track all the kinematic characteristics of the actuator.

On condition of optimization of process of packeting rationally to use the synthesis of structure of packing machine combinatorics-logical methods. Для оптимізації процесу пакування доцільно виконувати структури пакувальної машини комбінаторно-логічними методами.

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