Shevchenko V., Shevchenko H., Chernenko A. Methodology for analyzing forced vibrations of a multi-frequency vibrating sieve for cleaning drilling mud using the method of computational experiment
- Details
- Parent Category: Geo-Technical Mechanics, 2025
- Category: Geo-Technical Mechanics, 2025, Issue 174
Geotech. meh. 2025, 174,72-87
METHODOLOGY FOR ANALYZING FORCED VIBRATIONS OF A MULTI-FREQUENCY VIBRATING SIEVE FOR CLEANING DRILLING MUD USING THE METHOD OF COMPUTATIONAL EXPERIMENT
M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
UDC [622.742:621.928.235]:622.24.065
Language: English
Abstract. To identify and study the characteristics of vibrations of a multi-frequency vibrating sieve for cleaning drilling muds, as a significantly nonlinear dynamic system with a limited source of excitation, it is proposed to use the method of computational experiment. At the first stage, the equations of motion of the dynamic system are numerically integrated using a computational algorithm based on the use of three-layer difference schemes with weights. At the second stage, the obtained time series are studied using autocorrelation functions to determine the period of forced vibrations; spectral analysis of displacements, velocities and accelerations; phase diagrams in the variables "displacement-velocity"; dependences of the amplitudes of displacements, velocities and accelerations on changes in the parameters of the dynamic system, obtained by the method of continuation by parameter. The developed method of spectral analysis of forced vibrations of a multi-frequency vibrating sieve for cleaning drilling muds is based on the assumption that its motions are periodic. If deterministic chaos occurs in the dynamic system under consideration, then the autocorrelation function of the time series of displacements must have a finite carrier, i.e., it must be converted to zero outside a finite time interval. To analyze the process of stabilization of a multi-frequency vibrating sieve’s motion and visually detecting attractors, phase diagrshams in the variables "displacement-velocity" are used. When studying the dependences of the amplitudes of displacements, velocities and accelerations of a dynamic system on changes in its parameters, the method of continuation by parameter with step-by-step changes in the system parameters was used. The solution obtained in the previous step is chosen as the initial approximation of the solution. A study of a vibroimpact oscillator of a multi-frequency vibrating sieve for cleaning drilling muds was carried out in accordance with the proposed model and methods of analysis of forced vibrations. The vibroimpact modes of oscillations of the oscillator at frequencies exceeding the natural frequency of the generating linear system, at which accelerations are excited in the system, which significantly exceed the acceleration in the linear system, are investigated. Such modes are realized in the resonant area of oscillations of the generating linear system, in the presence of gaps between the mass and one-sided limiters of large amplitudes of oscillations of the linear system in the stationary state of the vibroimpact system.
Keywords: vibrating multi-frequency sieve, drilling muds, cleaning, significantly nonlinear dynamic system, analysis methodology, computational experiment method , vibroimpact oscillation modes.
REFERENCES
1. Bridges, S. and Robinson, L. (2020), “A practical handbook for drilling fluids processing”, Elsevier Inc., https://doi.org/10.1016/C2019-0-00458-X
2. Al-Rubaii, M.; Al-Shargabi, M. and Al-Shehri, D.A. (2023), “Novel Model for the Real-Time Evaluation of Hole-Cleaning Conditions with Case Studies”, Energies, no. 16, 4934. https://doi.org/10.3390/en1613493
3. Irawan, S., Kinif, B.I. and Bayuaji, R. (2017), “Maximizing Drilling Performance through Enhanced Solid Control System”, IOP Conf. Series: Materials Science and Engineering, no. 267, 012038. DOI:10.1088/1757-899X/267/1/012038
4. Huang, J., Wang, L. and Li, F. (2024), “Research on Multi-Layer Drilling Mud Reuse Technology”, Processes, no. 12, 1586. https://doi.org/10.3390/pr12081586
5. Siddig, O., Mahmoud, A.A. and Elkatatny, S. (2022), ”A review of the various treatments of oil‑based drilling fluids filter Cakes”, Journal of Petroleum Exploration and Production Technology, no. 12, pp. 365–381 https://doi.org/10.1007/s13202-021-01427-4
6. Husameldin, M., Arafat, A. A. Mohammed, Mustafa, S. Nasser,·Ibnelwaleed, A. Hussein and Muftah, H. El‑Naas (2024), “Green drilling fluid additives for a sustainable hole‑cleaning performance: a comprehensive review”, Emergent Materials, no. 7, pp. 387–402. https://doi.org/10.1007/s42247-023-00524-w
7. Wastu, A.R.R., Hamid, A. and Samsol, S. (2019), “The effect of drilling mud on hole cleaning in oil and gas industry”, Journal of Physics: Conference Series IOP Publishing, no. 1402, 022054. DOI:10.1088/1742-6596/1402/2/022054
8. Chudyk, I.I., Dudych, I.F., Sudakova, D.A., Voloshyn, Yu.D. and Bogoslavets, V.V. (2023), “Influence of drilling mud pulsations on well cleanout efficiency”, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 5, pp. 48-53. https://doi.org/10.33271/nvngu/2023-5/048
9. Shevchenko, H. and Shevchenko V. (2023), “Energy-force interactions in vibroimpact systems”, IOP Conference Series: Earth and Environmental Science. IV International Conference "Essays of Mining Science and Practice", no. 1156, 012026, DOI 10.1088/1755-1315/1156/1/012026
10. Shevchenko, V., Shevchenko, H. and Pukhalskyi, V. (2019), “Vibrational feeders with vibro-impact adaptive drive”, International Conference Essays of mining science and practice, no. 109. DOI: 10.1051/e3sconf/201910900085
11. Li, Zhe (1995), “Chaotic vibration sieve”, Mechanism and Machine Theory, no. 30(4), pp. 613-618.
12. Song, Y., Jiang, X., Song, J. and Zhang, J. (2009), “Dynamic analysis of a chaotic vibrating screen”, Procedia Earth and Planetary Science, no. 1(1), pp. 1525-1531. DOI:10.1016/j.proeps.2009.09.235
13. Dong, H., Lu, X. and Wang, Q. (2011), “Development of a new-type dewatering screen”, Mining Processes Equipment, no. 39, pp. 97–100.
14. Horenstein, M., Mazumder, M. and Sumner R. (2013), “Predicting particle trajectories on an electrodynamic screen—Theory and experiment”, Journal of electrostatics, no. 71, pp. 185–188. DOI:10.1016/j.elstat.2012.10.005
15. Zhang, Z., Wang, Y. and Fan, Z. (2015), “Similarity analysis between scale model and prototype of large vibrating screen”, Shock and Vibration, no. 4, pp.1-7. DOI:10.1155/2015/247193
16. Zhao, L., Zhao, Y., Bao, C., Hou, Q. and Yu, A. (2017) “Optimization of a circularly vibrating screen based on DEM simulation and Taguchi orthogonal experimental design”, Powder Technology, no. 310, pp. 307–317. https://doi.org/10.1016/j.powtec.2017.01.049
17. Wang, L., Ding, Z., Meng, S., Zhao, H. and Song, H. (2017), “Kinematics and dynamics of a particle on a non-simple harmonic vibrating screen”, Particuology, no. 32, pp. 167–177. DOI:10.1016/j.partic.2016.11.002
18. Peng. L., Wang, Z., Ma, W., Chen, X., Zhao, Y. and Liu, C. (2018), “Dynamic influence of screening coals on a vibrating screen”, Fuel, no. 216, pp. 484–493. https://doi.org/10.1016/j.fuel.2017.12.041
19. Jiang, H., Qiao, J., Zhao, Y., Duan, C., Luo, Z., Liu, C., Yang, Y., He, J., Zhao, L. and Pan, M. (2018), “Evolution process and regulation of particle kinematics and spatial distribution driven by exciting parameters during variable-amplitude screening”, Powder Technology, no. 330, pp. 292–303. https://doi.org/10.1016/j.powtec.2018.02.028
20. Cheng, C., Fu, J., Chen, Z., Ren, L. (2019), “Effect of vibration parameters of vibrating screen of harvester on adhesion characteristics of different humidity effluents”, Journal of Agricultural Engineering, no. 35(08), pp. 29-36. DOI: 10.11975/j.issn.1002-6819.2019.08.004
21. Mingkun, Zhang, Chengjun, Wang, Chen, Yan and Hao, Li (2021), “Design and Dynamic Analysis of a Four-Degree-of-Freedom Chaotic Vibrating Screen”, Shock and vibration, no. 24, pp. 1-10. DOI:10.1155/2021/8830428
22. Chen, Z., Li, Z., Xia, H. and Tong, X. (2021), “Performance optimization of the elliptically vibrating screen with a hybrid MACO-GBDT algorithm”, Particuology, no. 56, pp. 193–206. https://doi.org/10.1016/j.partic.2020.09.011
23. Deyi, H., Chusheng, L. and Sai, L. (2022), “The Nonlinear Dynamic Behavior of a Particle on a Vibrating Screen Based on the Elastoplastic Contact Model”, Separations, no. 9, pp. 216. https://doi.org/10.3390/separations9080216
24. Shevchenko, V., Shevchenko, H. and Chernenko, A. (2024), “Dynamic scheme and mathematical model of a multi-frequency vibrating sieve for drilling mud cleaning”, Geo-Technical mechanics, no. 172, pp. 178-189. DOI: https://doi.org/10.15407/geotm2024.171.178
25. ІGTM NAN Ukrainy (2009), “Doslіdzhennya parametrіv nelіnіinikh polіchastotnikh kolivan nenapruzhenikh reshіt vіbratsіinogo grokhota dlya podіlu ta znevodnennya tonkikh fraktsіi korisnikh kopalin: zvіt pro NDR (promіzh.)”, Dnіpropetrovsk, 2009, 106 p, reg. no. 0109U003424
26. ІGTM NAN Ukrainy (2012), “Rozrobka matematichnoї modelі vіbratsіinogo polіchastotnogo grokhota yak dinamіchnoї sistemi z rozpodіlenimi para-metrami ta metodu chiselnogo analіzu modelі: zvіt pro NDR (promіzh.)”, Dnіpropetrovsk, 2012, 86 p, reg. no. 0111U005129
27. ІGTM NAN Ukrainy (2015), “Rozvitok naukovo-tekhnіchnikh osnov yenergoperetvorennya vuglevmіshchuvalnoї sirovini rіznogo stupenya metamorfіzmu, podіl, yogo znevodnennya ta pіdvishchennya yefektivnostі ta nadіinostі yenergokompleksіv. Rozdіl 3: Rozvitok naukovo-tekhnіchnikh osnov rozrakhunku parametrіv vіbratsіinogo polіchastotnogo grokhota z obmezhenoyu potuzhnіstyu vіbrozbudnika dlya yefektivnogo podіlu po krupnostі ta znevodnennya pilovugіlnogo paliva: zvіt pro NDR (promіzh.)”, Dnіpropetrovsk, 2015, 64 p. reg. no. 0115U002283
28. Bulat, A.F., Shevchenko, H.O. and Shevchenko, V.H., M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (2009), Privod polіchastotnogo grokhota [Drive for a polyfrequency sieve], State Register of Ukraine, Kiev, UA, Pat. No. 45544
29. Shevchenko, H.A., Shevchenko, V.H., Bobylev, A.A. and Ishchuk, M.A. (2013), “Polyfrequency oscillations of the screening surfaces of vibrating screens for fine separation of bulk media”, CollectionofscientificpapersIGDim. D.A. Kunaev, no. 84, pp. 39-44.
30. Shevchenko, H., Shevchenko, V., Zozulia, H. and Pukhalskyi, V. (2022), “Comparative analysis of the VPR-4M vibrating feeder dynamics for the reflected ore output from the outlets and its modernized analog with a vibro-impact adaptive drive”, IOP Conference Series: Earth and Environmental Science. III International Conference "Essays of Mining Science and Practice", no. 970, doi:10.1088/1755-1315/970/1/012030
31. Shevchenko, H. and Shevchenko, V. (2024), “Analytical researches of a vibrating mill with vibroimpact excitation of a crushing chamber”, IOP Conference Series: Earth and Environmental Science. V International Conference "Essays of Mining Science and Practice", no. 1348. DOI 10.1088/1755-1315/1348/1/012050
32. Shevchenko, H., Shevchenko, V., Tytov, O., Sukhariev, V., Sushchenko, O. and Samodryha, O. (2025), “Establishment of effective parameters for grinding mineral raw materials in a vibrating mill with multi-frequency vibroimpact excitation of the grinding chamber”, IOP Conference Series: Earth and Environmental Science. V International Conference "Essays of Mining Science and Practice”, no. 1491. DOI 10.1088/1755-1315/1491/1/012068
33. Koptovets, O.M., Shirin, L.N., Yavorska, V.V. and Gerasimenko, A.O. (2023), “Identification and study of the characteristics of frictional oscillations in the brake”, Collection of scientific papers of NSU, no. 73-3, pp. 33-44. https://doi.org/10.33271/crpnmu/73.033
34. Bikhovskii, I.I. (1969), Osnoviteoriivibratsionnoitekhniki [Fundamentals of the theory of vibration technology], Mashinostroenie, Moscow, SU
35. Sergienko, A.B. (2002), Tsifrovaya obrabotka signalov [Digital signal processing], Peter, St. Petersburg, RF
36. Krasnopolskaya, T.S. and Shvets, A.Yu. (2008), Regulyarnayaikhaoticheskayadinamikasistemsogranichennimvozbuzhdeniem [Regular and chaotic dynamics of systems with limited excitation], Research Center Regular and Chaotic Dynamics, Institute of Computer Research, Izhevsk, RF
37. Shalashilin,V.I. and Kuznetsov,Ye.B. (1999), Metodprodolzheniyapoparametruinailuchshayaparametrizatsiya (vprikladnoimatematikeimekhanike) [Continuation method with respect to a parameter and best parameterization (in applied mathematics and mechanics)], Editorial Ukrainian SSR, Moscow, RF
About the authors
Shevchenko Volodymyr, Doctor of Technical Sciences (D.Sc.), Professor, Scientific Secretary of the Institute, Head of Department of Vibratory Transporting Systems and Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the NAS of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author), ORCID0000-0002-7290-811x
Shevchenko Heorgy, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Head of Department of Mechanics of Mineral Processing Machines and Processes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-8047-7014
ChernenkoAndrii, Postgraduate Student, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. . ORCID 0009-0000-6325-6570