dynamics

The dynamics of the adsorption process in the fixed-bed column was experimentally studied on the example of the system natural zeolite - water solution of copper salt with low concentrations, which are characteristic for wastewater treatment processes from toxic contaminants. The initial curves of the adsorption process for the height of the sorbent layer of 5 and 7 cm were constructed. The equilibrium of such processes can be described by Henry's linear equation. The adsorption process in the layer consists of two stages, which are examined in the study.

Aim. Development of a mathematical model of dynamic processes in speed change devices with multistage gear differential transmissions with closed-loop hydraulic systems on an example of a concrete design. Method. A device with a multistage differential has been considered, in which the gear wheel - the ring gear of the first stage is connected to the sun gear wheel of the second stage, the gear wheel - the ring gear of the second stage is connected to the sun gear wheel of the third stage, and so on, depending on the number of steps.

The article discusses algorithms for structural and functional modeling, implemented in the form of an optimal control problem in which the motion of systems is described by a first-order differential equation, to determine the optimal period of transition of the enterprise system to the planned equilibrium state and the required values of indicator indicators.  The developed model is used to predict the innovative dynamics of the enterprise, the parameters of the model are used with the help of financial and economic indicators of the PJSC "Bashtansky cheese factory".  Seven possible equil

Synthesis methods of controllers based on the use of frequency characteristics or root hodographs are considered classic or traditional. Frequency methods are available in practical applications, and most control systems are designed based on various modifications to these methods. A distinctive feature of these methods is the so-called robustness, which means that the characteristics of a closed system are insensitive to the minor errors of the model of the real system.

The article deals with the main features and trends of financial management development of wholesale and retail trade enterprises. The comparative dynamics of wholesale trade and retail trade in Ukraine and factors that adversely affect the development of enterprises are analyzed. The main stimulating and restraining factors influencing the development of the wholesale and retail market are investigated.

The paper suggests the approach to the design of a short-time energy saving reservoir for light-weight electric transport vehicles. It is substantiated that the new product will be energysaving and will ensure gains in traction and braking force. CATIA was chosen as the most proper environment for the design as its libraries are the most suitable for machine-building.