Nadutyi V.P., Tytov O.O., Horokhova A.R. Rational parametrization of shape of fine material pieces for calculating efficiency of their destruction in disintegrators

Details

Parent Category: Geo-Technical Mechanics, 2020

Category: Geo-Technical Mechanics, 2020, Issue 150

Geoteh. meh. 2020, 150, 46-53

https://doi.org/10.15407/geotm2020.150.046

 

RATIONAL PARAMETRIZATION OF SHAPE OF FINE MATERIAL PIECES FOR CALCULATING EFFICIENCY OF THEIR DESTRUCTION IN DISINTEGRATORS

 

¹Nadutyi V.P., ¹Tytov O.O., ²Horokhova A.R.

¹Institute of Geotechnical Mechanics named by N. Poliakov NAS of Ukraine, ²National Technical University «Dnipro Polytechnic»

UDC  621.926: 622.7

Language: Russian

Annotation.

The need to take into consideration shape of the rock lumps for calculating forces arising in operating parts of disintegrators is substantiated. The existing approaches and standards on taking into consideration the shape of pieces in disintegrator products were analyzed. It is concluded that the used criterion characterizing the content of lamellar-shaped grains in the material is not sufficient for estimating distribution of pieces by their shape, as the forces needed for crushing even cubical pieces of the same size but having just insignificant deviations in their shape may differ by up to 6 times. The linear regression dependence between the piece relative length and relative width is proposed for the products of rock crushing. The fine-grained fractions of crushed granite, limestone and basalt were sampled for the experiments. Three series of shape analysis were conducted with these materials, which referred to cubical crushed stone containing less than 10 percent of lamellar grains. Good coincidence of the linear regression equation with experimental data for the dependence between the piece relative length and relative width was demonstrated. It is stated that the usage of only one parameter, namely, the piece relative length, is quite rational for characterizing shape of the rock pieces during simulation of their crushing in disintegrators. In order to calculate energy consumption for the rock piece crushing, it is proposed to use distribution of these pieces by their shape parameter, which is connected with the piece relative length. The assumption was made that gamma distribution would be suitable for this purpose. The equation for the density of the piece distribution by their shape parameter is formulated. The analysis of statistical significance of the corresponding regression equation for the previously fulfilled experiment with fine-grained granite, limestone and basalt has proved that the calculated estimations of the regression equation are reliable, and gamma distribution of the rock pieces by their shape is statistically significant. The research results can be used for simulating process of the rock piece destruction under the action of disintegrators’ operating parts and for improving the technologies of the rocks processing.

Keywords:

disintegrator, rocks, distribution by piece shape, lamellar piece, relative length, gamma distribution.

References

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About the authors

Nadutyi Volodymyr Petrovych, Doctor of Technical Sciences (D.Sc.), Professor, Head of the Department of Mechanics of Machines and Processes of Mineral Processes, Institute of Geotechnical Mechanics named by N. Poliakov NAS of Ukraine (IGTM NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Tytov Oleksandr Oleksandrovych, Candidate of Technical Sciences (Ph. D), Associate Professor, Researcher in the Department of Mechanics of Machines and Processes of Mineral Processes, Institute of Geotechnical Mechanics named by N. Poliakov NAS of Ukraine (IGTM NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Horokhova Alina Romanivna, Student of National Technical University «Dnipro Polytechnic» (NTU «DP»), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

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