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.



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)

  1. Guangjian Dong and Ping Chen, Shock and Vibration, 2016, Article ID 7418635 (2016). Crossref
  2. Fushen Ren and Baojin Wang, JVE, 19, Iss. 7: 4866 (2017). Crossref
  3. J. Grydzhuk, I. Chudyk, A. Velychkovych, and A. Andrusyak, Eastern-European Journal of Enterprise Technologies, 1, No. 7(97): 6 (2019) (in Ukrainian). Crossref
  4. A. S. Velichkovich, Chem. Petrol. Eng., 43: 458 (2007). Crossref
  5. M. Dutkiewicz, I. Gołębiowska, I. Shatskyi, V. Shopa and A. Velychkovych, 22nd Int. Conf. on Innovative Manufacturing Engineering and Energy (July 24, 2018), MATEC Web of Conferences, vol. 178, Article Number 06010. Crossref
  6. A. Velychkovych, I. Petryk, and L. Ropyak, Shock and Vibration, 2020, Article ID 3292713 (2020). Crossref
  7. V. M. Moisyshyn and O. O. Slabyi, Metallofiz. Noveishie Tekhnol., 40, No. 4: 541 (2018) (in Ukrainian). Crossref
  8. K. G. Levchuk, SOCAR Proceedings, No. 2: 23 (2017) (in Russian). Crossref
  9. V. Moisyshyn and K. Levchuk, Oil and Gas Science and Technology, 72, No. 5, Article Number 27 (2017). Crossref
  10. K. G. Levchuk, Metallofiz. Noveishie Tekhnol., 40, No. 5: 701 (2018) (in Ukrainian). Crossref
  11. I. Shatskyi and V. Perepichka, Problem of Dynamics of an Elastic Rod with Decreasing Function of Elastic-Plastic External Resistance. Dynamical Systems in Applications (Ed. J. Awrejcewicz) (Springer Proceedings in Mathematics and Statistics: DSTA: 2017), vol. 249, p. 335. Crossref
  12. I. I. Vytvytskyi, M. V. Seniushkovych, and I. P. Shatskyi, Naukovyy Visnyk NHU, No. 5: 29 (2017).
  13. I. Shatskyi, A. Velychkovych, I. Vytvytskyi, and M. Seniushkovych, Eng. Solid Mechan., No. 7: 355 (2019). Crossref
  14. T. O. Pryhorovska, S. S. Chaplinskiy, and I. O. Kudriavtsev, Petrol. Expl. Develop., 42, No. 6: 812 (2015). Crossref
  15. T. A. Pryhorovska and S. S. Chaplinskiy, Neftyanoe Khozyaystvo, No. 1: 38 (2018) (in Russian). Crossref
  16. T. Pryhorovska, Eng. Solid Mechan., No. 6: 315 (2018). Crossref
  17. O. Vlasiy, V. Mazurenko, L. Ropyak, and A. Rogal, Eastern-European Journal of Enterprise Technologies, 1, No. 7(85): 25 (2017) (in Ukrainian). Crossref
  18. I. P. Shats'kyi, O. M. Lyskanych, and V. A. Kornuta, Strength Mater., 48, No. 3: 469 (2016). Crossref
  19. L. Ropyak, I. Schuliar, and O. Bohachenko, Eastern-European Journal of Enterprise Technologies, 1, No. 5(59): 53 (2016) (in Ukrainian). Crossref
  20. L.  Ya. Ropyak, T.  O. Pryhorovska, and K.  H. Levchuk, Progress in Physics of Metals, 21, No. 2: 274 (2020). Crossref
  21. L. Ropyak and V. Ostapovych, Eastern-European Journal of Enterprise Technologies, 2, No. 5(80): 50 (2016) (in Ukrainian). Crossref
  22. I. Chudyk, P. Raiter, Ya. Grydzhuk, and L. Yurych, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, No. 1: 52 (2020). Crossref
  23. H. Xu, T. Shi, Z. Zhang, and B. Shi, Mathematical Problems in Engineering, 2014, Article ID 287076 (2014). Crossref
  24. O. Onysko, L. Borushchak, V. Kopei, T. Lukan, I. Medvid and V. Vryukalo, Int. Conf. 'New Technologies, Development and Applications III. NT 2020', Lecture Notes in Networks and Systems, vol. 128, p. 720. Crossref
  25. I. Shatskyi, L. Ropyak, and A. Velychkovych, Eng. Solid Mechan., 8, No. 4: 301 (2020). Crossref
  26. V. Kopei, O. Onysko, and V. Panchuk, Proc. of the 2nd Int. Conf. on Design, Simulation, Manufacturing: The Innovation Exchange, DSMIE-2019 (June 11-14, 2019) (Lutsk, Ukraine: 2019), Lecture Notes in Mechanical Engineering, Springer, Cham, p. 149. Crossref
  27. O. R. Onysko, V. B. Kopey, and V. G. Panchuk, IOP Conf. Series: Mater. Sci. Eng., The Int. Conf. of the Carpathian Euro-Region Specialists in Industrial Systems (April 11-12, 2019) (Baia Mare, Romania: 2019), vol. 749, Accession Number 012007 (2020). Crossref
  28. T. Pryhorovska and L. Ropyak, Int. Conf. on Advanced Optoelectronics and Lasers, (Sept. 6-8, 2019) (Sozopol, Bulgaria: 2020), Accession Number 9019544: 493 (2019). Crossref
  29. O. Onysko, V. Kopei, I. Medvid, L. Pituley, and T. Lukan, Int. Conf. 'New Technologies, Development and Applications III. NT 2020', Lecture Notes in Mech. Eng., p. 432. Crossref
  30. O. Onysko, V. Kopei, V. Panchuk, I. Medvid, and T. Lukan, Int. Conf. 'New Technologies, Development and Applications III. NT 2020', Lecture Notes in Mech. Eng., p. 236. Crossref
  31. V. Martsynkowskyy, C. Kundera, and S. Gudkov, Proc. Eng., 136: 150 (2016). Crossref
  32. J. Gaft, V. Martsinkovsky, A. Zagorulko, and V. Gromyko, Papers Presented at 17th Int. Conf. on Fluid Sealing (Apr. 8-10, 2003) (York, UK: 2003), p. 505.
  33. L. S. Saakiyan, A. P. Efremov, L. Ya. Ropyak, and A.V. Gorbatskii, Soviet Mater. Sci., 23, No. 3: 267 (1987). Crossref
  34. L. S. Saakiyan, A. P. Efremov, and L. Ya. Ropyak, Zashchita Metallov, 25, No. 2: 185 (1989) (in Russian).
  35. Y. Striletskyi, V. Rovinskyi, and O. Yevchuk, Eastern-European Journal of Enterprise Technologies, 3, No. 9(81): 24 (2016) (in Ukrainian). Crossref
  36. R. M. Tatsiy, O. Yu. Pazen, S. Ya. Vovk, L. Ya. Ropyak, and T. O. Pryhorovska, J. Serb. Soc. Computational Mechan., 13, No. 2: 36 (2019). Crossref
  37. N. Volchenko, A. Volchenko, D. Volchenko, P. Poliakov, V. Malyk, D. Zhuravliov, V. Vytvytskyi, and P. Krasin, Eastern-European Journal of Enterprise Technologies, 1, No. 5(97): 47 (2019) (in Russian). Crossref
  38. I. P. Shatskyi, V. V. Perepichka, and L. Y. Ropyak, Metallofiz. Noveishie Tekhnol., 42, No. 1: 69 (2020) (in Ukrainian). Crossref
  39. Z. Lipa, J. Peterka, P. Pokorný, Š. Václav, and I. Buranský, Research Papers Faculty of Materials Science and Technology in Trnava Slovak University of Technology in Bratislava, 18, Iss. 28: 27 (2010). Crossref
  40. L. Ya. Ropyak, I. P. Shatskyi, and M. V. Makoviichuk, Metallofiz. Noveishie Tekhnol., 41, No. 5: 647 (2019) (in Ukrainian). Crossref
  41. V. B. Tarel'nik, A. V. Paustovskii, Y. G. Tkachenko, V. S. Martsinkovskii, E. V. Konoplyanchenko, and K. Antoshevskii, Surf. Engin. Appl. Electrochem., 53, No. 3: 285 (2017). Crossref
  42. V. Tarelnyk, I. Konoplianchenko, N. Tarelnyk, and A. Kozachenko, Mater. Sci. Forum, 968: 131 (2019). Crossref
  43. T. M. Radchenko and V. A. Tatarenko, Defect and Diffusion Forum, 273-276: 525 (2008). Crossref
  44. A. B. Melnick, V. K. Soolshenko, and K. H. Levchuk, Metallofiz. Noveishie Tekhnol., 42, No. 10: 1387 (2020). Crossref
  45. I. Yu. Sahalianov, T. M. Radchenko, V. A. Tatarenko, and Yu. I. Prylutskyy, Ann. Phys., 398: 80 (2018). Crossref
  46. V. Pasichnyk and O. Khmurenko, Eastern-European Journal of Enterprise Technologies, 4, No. 7 (76): 15 (2015) (in Ukrainian). Crossref
  47. O. Vytyaz, I. Chudyk, and V. Mykhailiuk, Study of the Effects of Drilling String Eccentricity in the Borehole on the Quality of Its Cleaning, in New Developments in Mining Engineering 2015: Theoretical and Practical Solutions of Mineral Resources Mining (Eds. G. Pivnyak, V. Bondarenko, and I. Kovalevska) (Taylor & Francis Group: CRC Press: 2015), p. 591. Crossref
  48. V. Moisyshyn and K. Levchuk, Mining of Mineral Deposits, 10, Iss. 3: 65 (2016). Crossref
  49. K. G. Levchuk, V. M. Moisyshyn, and I. V. Tsidylo, Metallofiz. Noveishie Tekhnol., 38, No. 12: 1655 (2016) (in Ukrainian). Crossref
  50. L. Belkacem, N. Abdelbaki, M. Gaceb, E. Bouali, and M. Bettayeb, Chemical Engineering Transactions, 61: 1099 (2017). Crossref
  51. E. I. Kryzhanivs'kyi, R. S. Yakym, L. E. Shmandrovs'kyi, and Yu. D. Petryna, Mater. Sci., 46, No. 5: 607 (2011). Crossref
  52. R. S. Yakym and D. Yu. Petryna, Metallofiz. Noveishie Tekhnol., 42, No. 5: 731 (2020). Crossref
  53. L. Skitsa, T. Yatsyshyn, M. Liakh, and O. Sydorenko, Min. Miner. Depos., 12, Iss. 3: 71 (2018). Crossref
  54. O. Mandryk, V. Artym, M. Shtohry, and V. Zaytsev, Management Systems in Production Engineering, 28, Iss. 3: 168 (2020). Crossref
  55. P. V. Balitskiy, Vzaimodeystvie Burilnoy Kolonny s Zaboem Skvazhiny (Moscow: Nedra: 1975) (in Russian).
  56. R. A. Gandzhumyan, Issledovanie Parametrov Prodolnykh Kolebaniy Nizhney Chasti Burilnoy Kolonny pri Burenii Sharoshechnymi Dolotami s Zhestkoy Kharakteristikoy Privoda (Disser. for the Degree of Kand. Tech. Sci.) (Erevan: 1970) (in Russian).
  57. V. M Moisyshyn, M. V. Lyskanych, and R. A. Zhovniruk, Prykarpatskyi Visnyk NTSh. Chyslo, No. 1(53): 81 (2019) (in Ukrainian). Crossref
  58. B. D. Borysevych, V. M. Moisyshyn, and R. B. Shcherbii, Rozvidka ta Rozrobka Naftovykh ta Hazovykh Rodovyshch, No. 3(32): 23 (2009) (in Ukrainian).
  59. M. M. Protodyakonov, Metodika Ratsionalnogo Planirovaniya Eksperimenta (Moscow: Nauka: 1970) (in Russian).
  60. V. M. Moisyshyn, B. D. Borysevych, Yu. L. Havryliv, and S. A. Zinchenko, Stiykist i Kolyvannya Burylnoyi Kolony (Ivano-Frankivsk: Lileya-NV: 2013) (in Ukrainian).