MATHEMATICAL MODELING OF INTERACTION OF SPHERICAL MILL BODIES WITH ELEMENTARY AREAS OF MILL DRUM SURFACE

Journal Title: Computer Science Information Technology Automation - Year 2017, Vol 1, Issue 6

Abstract

The purpose of the work is a mathematical modelling of interaction of spherical mill bodies with elementary areas of a mill drum surface for creation of foundations of control facilities of technological aggregate overload. Methods of the ball mill theory for obtaining efficient characteristics of fineness of ball load, provision of their invariability in the operation, determination of peculiarities of stratification of mill bodies by fineness along the drum and in separate areas of approximately equal fineness, modelling methods for determination of fineness characteristics of ball load, analysis methods for establishment of motion conditions of balls along an inclined heel, methods of the ball mill theory, probability theory and mathematical statistics, when grounding impact frequency of balls of identical size with elementary area on the mill drum internal surface, are used. Academic novelty consists in foremost grounding of probability to implement identification tool of ball mill overload with ore by energetic efficiency of material destruction directly into the technological apparatus drum. Practical significance of the conducted investigations is high, since the obtained results allow to develop tools of ball mill ore overload of new type. Thus, technological aggregates can be fully operational without fear of emergency mode. It is shown that one can select the best ball load composition and maintain it in service for separate technological ore type and its definite fineness. Along the drum, balls are located in separate areas by fineness, the smallest ones are near the charging nose. The smallest balls of almost identical size are situated in separate areas of approximately equal fineness due to segregation near the lining. This creates an external layer that moves during rotation of the drum and accomplishes a three-phase trajectory. Five impacts of a ball of 50 mm in diameter with elementary area of 30 mm in diameter occur for four minutes. One impact occurs, provided that its diameter is decreased by 15 mm. It allows to develop innovative means for identifying ball mill ore overload.

Authors and Affiliations

V. О. Kondratets, А. N. Matsui

Keywords

Related Articles

MATHEMATICAL MODELS FOR THE FUNCTIONING OF THE BEET-PROCESSING DEPARTMENT IN THE SUGAR PRODUCTION FACTORY

Purpose. The article deals with the technological object of the beet processing department of the sugar factory. The mathematical models aimed to further increase the facility efficiency by using the effective algorithms...

DEVELOPMENT OF THE HYBRID CONTROL SYSTEM FOR A THREE-STAGE IRON ORE ENRICHMENT BASED ON MULTI-AGENT CONTROL AND REGRESSION ANALYSIS

Development issue on the automated control system for the enrichment of iron ore in a view of complexity of the relations between mechanisms is considered. The object of the research is a model of the automated control i...

SOME DIFFICULTIES IN RECYCLABLE MATERIALS PROCESSING

The article is devoted to one of the most urgent problems nowadays namely the problem of waste disposal in Ukraine and determination of the main directions to provide waste collection and processing in inhabited localiti...

JUSTIFICATION OF THE CONTROLLER PARAMETERS IN AUTOMATIC THERMAL CONTROL SYSTEM OF ELECTRIC THERMAL AGGREGATE

On the basis of the structural diagram of the thermal aggregate temperature ACS with structural limitations and assumptions liberalized the control system. Parameters of the PID controller were optimized in accordance wi...

THEORETICAL AND EXPERIMENTAL STUDIES OF AN ELASTIC PLATE AS A MEANS OF IDENTIFICATION OF THE ENERGY-EFFICIENT FRACTURING OF THE ORE

Purpose. To investigate an elastic plate as a means of identifying energy-efficient fracturing of the ore, with the objective of providing a basis for developing an efficient ball mill ore-mass-induced overload control d...

Download PDF file
  • EP ID EP364055
  • DOI -
  • Views 143
  • Downloads 0

How To Cite

V. О. Kondratets, А. N. Matsui (2017). MATHEMATICAL MODELING OF INTERACTION OF SPHERICAL MILL BODIES WITH ELEMENTARY AREAS OF MILL DRUM SURFACE. Computer Science Information Technology Automation, 1(6), 49-58. https://europub.co.uk/articles/-A-364055