### Аннотация

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.

Переведенное название | Mathematical simulation of operational modes of a vibrating ball mill |
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Язык оригинала | Русский |

Страницы (с-по) | 141-151 |

Число страниц | 11 |

Журнал | Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering |

Том | 330 |

Номер выпуска | 5 |

DOI | |

Состояние | Опубликовано - 1 янв 2019 |

### Keywords

- Ball mill
- Grinding
- Kibbling
- Ore
- Resonance
- Tractive electromagnet
- Vibratory mill
- Vibratory system

### 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