A mathematical model for determining the influence of factors on the stability of pillars and cameras

S.K. Tutanov; M.S. Tutanov; M.S. Tutanova

doi:10.31643/2020/6445.22

Authors

S.K. Tutanov Karaganda State Technical University
M.S. Tutanov Karaganda State Technical University
M.S. Tutanova Karaganda State Technical University

DOI:

https://doi.org/10.31643/2020/6445.22

Keywords:

rocks, finite element method, stress-strain state, deformation, stress, development.

Abstract

This article presents the results of the research in determining the parameters of the stress-strain state of the rock mass around pillars, cameras and factors, which affect their stability. The vertical section of cirque around the ledges is considered as well. A flat deformed rectangular plane is divided by triangle grid with a corresponding boundary. Boundary conditions are chosen as a calculation scheme. A multidimensional mathematical model of the pit sides stability was obtained from the geological and mining factors. From the obtained formula for a multidimensional model, we can determine the factors that affect the stability of pillars and cameras. The resulting ratio makes it possible to determine the desired value.

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Author Biographies

S.K. Tutanov, Karaganda State Technical University

Doctor of Technical Sciences, Professor of Department of Higher Mathematics, Karaganda State Technical University, Karaganda, Kazakhstan.

M.S. Tutanov, Karaganda State Technical University

Candidate of Technical Sciences, chief expert, Karaganda State Technical University, Karaganda, Kazakhstan.

M.S. Tutanova, Karaganda State Technical University

Master of Sciences, Assistant Department "Mine Surveying and Geodesy", Karaganda State Technical University, Karaganda, Kazakhstan.

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