№75-19

Calculation of technological modes of operationof vertical vibrating mill

V. Franchuk¹, О. Antsiferov¹

¹Dnipro University of Technology, Dnipro, Ukraine

Coll.res.pap.nat.min.univ. 2023, 75:192-202

https://doi.org/10.33271/crpnmu/75.192

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ABSTRACT

Purpose. To build the calculation scheme of interaction between grinding chamber and process load of vertical vibrating mill. To obtain energy dependences of the grinding process as a function of the mass ratio of the working body - load, considering the used type of drive. To analyze the obtained dependences in order to recommend rational technological modes of the grinding process.

The methods. Scientific research in this direction is analyzed. The methodology of solving the set problem on the basis of recording the differential equations of motion of the camera - technological load system is proposed. The Krylov-Bogolyubov method is used for their solution. Two types of drives are considered - inertial directional and rigid eccentric. The comparison is made by the interaction energy of the process load and grinding chamber at the moments of their impact interaction.

Findings. To intensify the process of material grinding in vertical vibrating mill with inertial vibrating exciter it is necessary to increase the mass of grinding chamber. However, the material intensity of the system increases. In this case mills with rigid eccentric vibrating exciter have significant advantages. It is shown that the motion parameters of the process load and the energy of its interaction with the chamber do not depend on the ratio of their masses.

The originality. The refined dynamic model is developed and differential equations of motion of the system grinding chamber - technological load of vertical vibrating mill are written down. New energy dependences have been obtained, which allowed to calculate the parameters of realization of vibration-impact interaction of elements of this system.

Practical implementation. Application of the research results will allow to create rational design schemes of vertical vibrating mills, as well as to specify technological modes of grinding in the currently existing processes with the use of mills of this type.

Keywords: vibrating mill, vertical oscillations, process feed, grinding chamber, mass ratio, inertial drive, eccentric drive, equations of motion, energy characteristics.

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