Issues »  Volume 42, Issue 12

Multifactorial Empirical Model of Three-Cone Bit Gear Oscillation Energy

V. M. Moysyshyn$^{1}$, М. V. Lyskanych$^{1}$, L. V. Borysevych$^{2}$, R. A. Zhovniruk$^{1}$

$^{1}$Ivano-Frankivsk National Technical University of Oil and Gas, 15 Karpatska Str., UA-76019 Ivano-Frankivsk, Ukraine
$^{2}$Vasyl Stefanyk Precarpathian National University, 57 Shevchenko Str., UA-76018 Ivano-Frankivsk, Ukraine

Received: 22.10.2020. Download: PDF

The method of rational planning of experiments is used to develop a multifactorial empirical model of three-cone bit gear oscillation energy $\sigma_{Eзуб}$. This method provides combination of variables, i.e. axial static load $F_{ст}$, the stiffness $C$ and the damping factor $\beta$ of the drilling tool to be used only once. The general multidimensional function is given by the product of individual relations of variable factors $\sigma_{Eзуб}$ = $B_{ср}f(n)f(F_{ст})f(\beta)f(C)$, де $B_{ср}$, where $B_{ср}$ is the average value of the numerical coefficient for the set of all experiments. The type and diameter of a steel three-cone bit and the flow rate of the drilling fluid (water) are considered as constant factors. The planned factorial experiment was carried out in sandstone blocks of the Horodyshche strata composed of two layers with a stamp hardness of 1440 MPa and 2050 MPa. According to the experimental result, the equations of the multifactorial empirical model of three-cone bit gear oscillation energy are developed for layers of 1440 MPa and 2050 MPa hardness.

Key words: steel cone bit, empirical model, energy of gear oscillations, method of experiment planning, variable factor.

URL: http://mfint.imp.kiev.ua/en/abstract/v42/i12/1729.html

DOI: https://doi.org/10.15407/mfint.42.12.1729

PACS: 62.20.-x, 62.20.F-, 62.20.M-, 62.20.Qp, 81.40.Np, 81.70.Bt

Citation: V. M. Moysyshyn, М. V. Lyskanych, L. V. Borysevych, and R. A. Zhovniruk, Multifactorial Empirical Model of Three-Cone Bit Gear Oscillation Energy, Metallofiz. Noveishie Tekhnol., 42, No. 12: 1729—1752 (2020) (in Ukrainian)

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