MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL
The relevance of the research is caused by the need to develop highly-efficient resource-saving equipment, used for kibbling and grinding ore in mining industry. One of the possible solution is the development of ball mills of a vibrating type with AC tractive electromagnet. Connecting a tractive el...
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Tomsk Polytechnic University
2019-05-01
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Series: | Известия Томского политехнического университета: Инжиниринг георесурсов |
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Online Access: | http://izvestiya.tpu.ru/archive/article/view/273/184 |
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doaj-4fe31873546c48538e9d08b95138b1522020-11-25T02:51:46ZrusTomsk Polytechnic UniversityИзвестия Томского политехнического университета: Инжиниринг георесурсов2500-10192413-18302019-05-01330514115110.18799/24131830/2019/5/273MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILLValery A. Daneker0National Research Tomsk Polytechnic UniversityThe relevance of the research is caused by the need to develop highly-efficient resource-saving equipment, used for kibbling and grinding ore in mining industry. One of the possible solution is the development of ball mills of a vibrating type with AC tractive electromagnet. 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 considered 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 parameters. With the appropriate quasi-resonant frequency span and masses of elements of a vibratory system we can determine tractive electromagnet parameters, design and specification of a spring suspension of a ball mill.http://izvestiya.tpu.ru/archive/article/view/273/184orekibblinggrindingball millvibratory millvibratory systemtractive electromagnetresonance |
collection |
DOAJ |
language |
Russian |
format |
Article |
sources |
DOAJ |
author |
Valery A. Daneker |
spellingShingle |
Valery A. Daneker MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL Известия Томского политехнического университета: Инжиниринг георесурсов ore kibbling grinding ball mill vibratory mill vibratory system tractive electromagnet resonance |
author_facet |
Valery A. Daneker |
author_sort |
Valery A. Daneker |
title |
MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL |
title_short |
MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL |
title_full |
MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL |
title_fullStr |
MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL |
title_full_unstemmed |
MATHEMATICAL SIMULATION OF OPERATIONAL MODES OF A VIBRATING BALL MILL |
title_sort |
mathematical simulation of operational modes of a vibrating ball mill |
publisher |
Tomsk Polytechnic University |
series |
Известия Томского политехнического университета: Инжиниринг георесурсов |
issn |
2500-1019 2413-1830 |
publishDate |
2019-05-01 |
description |
The relevance of the research is caused by the need to develop highly-efficient resource-saving equipment, used for kibbling and grinding ore in mining industry. One of the possible solution is the development of ball mills of a vibrating type with AC tractive electromagnet. 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 considered 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 parameters. With the appropriate quasi-resonant frequency span and masses of elements of a vibratory system we can determine tractive electromagnet parameters, design and specification of a spring suspension of a ball mill. |
topic |
ore kibbling grinding ball mill vibratory mill vibratory system tractive electromagnet resonance |
url |
http://izvestiya.tpu.ru/archive/article/view/273/184 |
work_keys_str_mv |
AT valeryadaneker mathematicalsimulationofoperationalmodesofavibratingballmill |
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