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 journalArticle

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.

Original languageRussian
Pages (from-to)141-151
Number of pages11
JournalBulletin of the Tomsk Polytechnic University, Geo Assets Engineering
Volume330
Issue number5
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Ball mills
mill
simulation
Electromagnets
Mathematical models
Mineral industry
mining industry
Ores
Natural frequencies
Suspensions
Energy utilization
Productivity
Specifications
productivity

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

Cite this

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title = "МAТЕМAТИЧЕCКОЕ МОДЕЛИРОВAНИЕ РЕЖИМОВ РAБОТЫ КОЛЕБAТЕЛЬНОЙ ШAРОВОЙ МЕЛЬНИЦЫ",
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.",
keywords = "Ball mill, Grinding, Kibbling, Ore, Resonance, Tractive electromagnet, Vibratory mill, Vibratory system",
author = "Daneker, {Valery A.}",
year = "2019",
month = "1",
day = "1",
doi = "10.18799/24131830/2019/5/273",
language = "Русский",
volume = "330",
pages = "141--151",
journal = "Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering",
issn = "2500-1019",
publisher = "Tomsk Polytechnic University",
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N2 - 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.

AB - 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.

KW - Ball mill

KW - Grinding

KW - Kibbling

KW - Ore

KW - Resonance

KW - Tractive electromagnet

KW - Vibratory mill

KW - Vibratory system

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