Articles
| Open Access |
DOI: DETERMINATION OF CONVEX SHAPE OF THE TRAJECTORY OF THE QUARRY BOARD TRAJECTORY BY THE METHOD OF CUBIC SPLINES
Gulomjon M. Norov , Phd Student At Navoi State Pedagogical Institute, Ibn Sina Street, Navoi, Navoi State University Mining And Technologies, Department Of Higher Mathematics And Information Technologies, Galaba Shokh Street, Navoi, Uzbekistan Oybek J. Khudayberdiev , Navoi State University Mining And Technologies, Department Of Higher Mathematics And Information Technologies, Galaba Shokh Street, Navoi, Uzbekistan Safarboy Kh. Rakhmatov , Navoi State University Mining And Technologies, Department Of Higher Mathematics And Information Technologies, Galaba Shokh Street, Navoi, Uzbekistan Maksud R. Mekhmonov , Phd, Assistant Professor At Navoi State University Mining And Technologies, Mining Department, Galaba Shokh Street, Navoi, UzbekistanAbstract
This paper deals with the problem of determining the convex shape of the curb trajectory in order to ensure the stability of the curb, enhance the safety of overburden stripping and open pit mining. The method of cubic splines is used to determine the trajectory of the side. For application of this method the length of the pit base (or ledge) is divided into arbitrary n parts and in each partial segment the corresponding cubic spline function is constructed, being combined, each curve into a common curve, gives a common curve corresponding to the profile of the trajectory of the pit face.
Keywords
scarp slopes, destruction, stability
References
DEMIN A.M. (1973). Stability of open mine workings and dumps. – M.: Nedra,– 232 p.
NOROV YU.D., BUNIN ZH.V., ZAIROV SH.SH., (2016). Nutfullaev G.S. Intensification of the destruction of an array of rocks of different strength by explosive charges with a cumulative effect // Mining Journal. - Moscow, - No. 2. - S. 16-20.
NOROV YU.D., ZAIROV SH.SH. (2015). Designing of quarries and ensuring the stability of the sides. - Monograph. - Navoi, Ed. "Navoi",. - 252 p.
NOROV YU.D., ZAIROV SH.SH., NORMATOVA M.ZH., RAVSHANOVA M.KH. (2017). Investigation of the patterns of collapse formation and determination of the optimal parameters of the retaining wall during mass explosions in the quarries of the Kyzylkum region // Mining Journal. Nonferrous metals. Special issue. - Moscow, - S. 76-80.
RYBIN V.V. (2016). Development of the theory of geomechanical substantiation of rational structures of open pit walls in rocky tectonically stressed rocks // Diss. doc. tech. Sciences. ‒ Apatity, ‒ 385 p.
STECHKIN S.B., SUBBOTIN YU.N. (1976). Computational Mathematics. Splines in computational mathematics. M.: Science. 248 p.
ZAIROV SH., RAVSHANOVA M., KARIMOV SH. (2017). Scientific and technical fundamentals for explosive destruction of the mass composed of rocks with different hardness // Mining of Mineral Deposits. National Mining University, Volume 11. Issue 2. – p. 46-51. ISSN 2415-3443 (Online). ISSN 2415-3435 (Print).
ZAIROV SH.SH., URINOV SH.R., Tukhtashev A.B. (2020). Theoretical substantiation of methods for assessing the stability of slopes of fractured rocks // Scientific and practical electronic journal "TESNika". - Nukus, No. 2. pp. 50-55.
Article Statistics
Downloads
Copyright License
Copyright (c) 2023 Gulomjon M. Norov, Oybek J. Khudayberdiev, Safarboy Kh. Rakhmatov, Maksud R. Mekhmonov
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.