### 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 |
---|---|

Original language | Russian |

Pages (from-to) | 141-151 |

Number of pages | 11 |

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

Volume | 330 |

Issue number | 5 |

DOIs | |

Publication status | 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