# МAТЕМAТИЧЕCКОЕ МОДЕЛИРОВAНИЕ РЕЖИМОВ РAБОТЫ КОЛЕБAТЕЛЬНОЙ ШAРОВОЙ МЕЛЬНИЦЫ

Translated title of the contribution: Mathematical simulation of operational modes of a vibrating ball mill

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

## Abstract

The relevance of the research is caused by the need to develop highly/efficient resource/saving equipment, used for kibbling and grin/ ding ore in mining industry. One of the possible solution is the development of ball mills of a vibrating type with AC tractive electromag/ net. Connecting a tractive electromagnet to AC voltage source enables a long/range adjustment of operational mode of a ball mill and ensures its operation in quasi/resonant regimes. Mathematical simulation of operational modes of a ball mill of a vibrating type allows determining standards for a vibratory system when changing frequency and value of power supply and generating guidelines to be con/ sidered in production prototypes design. Additionally, operation of a ball mill of a vibrating type in quasi/resonant regimes is followed by significant reduction of energy consumption along with productivity gain. The aim of the research is to develop a mathematical model of operation of a ball mill of a vibrating type with a tractive electromagnet powered by a variable frequency power supply; in terms of the developed mathematical model to calculate the operational modes of a ball mill of a vibrating type and generate the guidelines for use in developing a ball mill. Methods. Mathematical simulation of operational modes of a ball mill was carried out by a numerical solution of a differential system of elements movement in a vibratory system. Vibratory system parameters were calculated with regard to objective technical data of the similar equipment produced. Results. The mathematical model of a ball mill of a vibrating type allows determining a range of effective tractive efforts and power supply frequencies of a tractive electromagnet, relevant to a quasi/resonant operation mode when changing vibratory system parame/ ters. With the appropriate quasi/resonant frequency span and masses of elements of a vibratory system we can determine tractive elec/ tromagnet parameters, design and specification of a spring suspension of a ball mill.

Translated title of the contribution Mathematical simulation of operational modes of a vibrating ball mill Russian 141-151 11 Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering 330 5 https://doi.org/10.18799/24131830/2019/5/273 Published - 1 Jan 2019

## ASJC Scopus subject areas

• Materials Science (miscellaneous)
• Fuel Technology
• Geotechnical Engineering and Engineering Geology
• Waste Management and Disposal
• Economic Geology
• Management, Monitoring, Policy and Law