The relevance of this research stems from the necessity to enhance existing vibration-compensation systems for reducing vibrational loads on power units of mainline pumping units (MPUs). Algorithms and computational results of the spatial vibration state of the vibration-compensation system (VCS) for MPUs under various operational regimes are presented. Mathematical and spatial finite-element models, as well as versatile digital prototypes of the VCS, have been developed. The novelty of the findings lies in the developed digital prototype of the MPU, which offers broad capabilities for accounting for design-technological factors, accommodates diverse operational regimes, and exhibits high precision and computational efficiency. The practical significance of the work is that the developed simulation methodology based on digital prototypes of the MPU VCS enables the analysis of vibrational impacts from electric motors, pumps, and load-bearing frames. Comprehensive computational studies of the stress-strain state of the VCS frame were performed, and the system’s natural frequencies during operation were evaluated. The objective of this work is to study the behavior of the pumping unit when replacing elastomeric supports in the compensation system with hydrofilm dampers. An indisputable advantage of the developed digital model is its foundation for a universal methodology to assess the effectiveness of vibration compensators in the MPU VCS. A unique digital prototype of the MPU was developed considering the engineered VCS. The feasibility of using a finite-element-based digital prototype for evaluating vibrational loading on MPUs is substantiated. Numerical experiments using the MPU’s digital twin established that implementing hydrofilm dampers in the VCS reduces peak dynamic stresses by 18%. Values of axial and resultant displacements of the MPU using hydrofilm and elastomeric dampers in the VCS were obtained, measuring 11.1 mm and 10.0 mm, respectively.
Tokarev A, Zotov A, Valeev A. The application of passive vibroprotective systems having power characteristics with hysteresis loops of rectangular shape for the main pumping units. Procedia Engineering. 2017;176:118-27. 10.1016/j.proeng.2017.02.279
Sukhorukov A, Koryagin N, Eroshkin SY, Kovkov D, editors. Statistical modeling of the process of generating analog information in the problems of the digital economy. 2017 Tenth International Conference Management of Large-Scale System Development (MLSD); 2017: IEEE. 10.1109/MLSD.2017.8109691
Cherepovitsyn AE, Tretyakov NA. Development of a new assessment system for the applicability of digital projects in the oil and gas sector. Записки Горного института. 2023(262 (eng)):628-42.
Mukherjee S. A theoretical study and 3D modeling of nonlinear passive vibration isolator. International journal of Applied and Advanced Scientific Research (IJAASR). 2017;2(2). 10.5281/zenodo.996576
Werner U. Active vibration control for rotating machines with current-controlled electrodynamic actuators and velocity feedback of the machine feet based on a generalized mathematical formulation. Control Theory and Technology. 2025;23(1):1-27. 10.1007/s11768-024-00230-w
Fomichev P, Fomicheva E, editors. Optimization problems of the characteristics of vibroprotective systems of a new type. IOP Conference Series: Earth and Environmental Science; 2019: IOP Publishing. 10.1088/1755-1315/272/2/022102
Li Y, Li J, Li W, Du H. A state-of-the-art review on magnetorheological elastomer devices. Smart materials and structures. 2014;23(12):123001. 10.1088/0964-1726/23/12/123001
Anvar V, Alexey Z, Artem T. Study of application of vibration isolators with quasi-zero stiffness for reducing dynamics loads on the foundation. Procedia Engineering. 2017;176:137-43. 10.1016/j.proeng.2017.02.281
Zotov A, Tokarev A. A Dynamic Vibration Absorber with Adjustable Stiffness. Journal of Machinery Manufacture and Reliability. 2023;52(6):525-31. 10.1134/S1052618823050175
Tokarev A, Usmanova A, Godovskiy D, editors. Conditions for the Occurrence of Resonant Oscillations of Vertical Booster Pumping Units. IOP Conference Series: Earth and Environmental Science; 2022: IOP Publishing. 10.1088/1755-1315/988/3/032063
Tokarev A, Yanbarisova A, Khatmullina R, editors. The Dependence of the Pump Piping Vibration from the Rotor Speed. IOP Conference Series: Earth and Environmental Science; 2021: IOP Publishing. 10.1088/1755-1315/666/4/042065
Javanmardi A, Ibrahim Z, Ghaedi K, Benisi Ghadim H, Hanif MU. State-of-the-art review of metallic dampers: testing, development and implementation. Archives of Computational Methods in Engineering. 2020;27(2):455-78. 10.1007/s11831-019-09329-9
Palaev A, Krasnikov A. Ultrasonic Treatment of Welded Joint from External, Internal and Two Sides on Reduction of Residual Welding Stresses. International Journal of Engineering Transactions B: Applications. 2024;37:2171-80. 10.5829/ije.2024.37.11b.04
Phu V, Canh T, Lieu P. Optimal parameters of dynamic vibration absorber for linear damped rotary system subjected to harmonic excitation. Vietnam Journal of Mechanics. 2020;42(4):385-400. 10.15625/0866-7136/14897
Li H, Yao H, Dou J, Jia R, Wei G. Torsional vibration suppression of cantilever beams system with the PNESI. Journal of Low Frequency Noise, Vibration and Active Control. 2024;43(4):1713-31. 10.1177/14613484241272264
Medel-Vera C, Ji T. Seismic protection technology for nuclear power plants: a systematic review. Journal of Nuclear Science and Technology. 2015;52(5):607-32. 10.1080/00223131.2014.980347
Wang H, Wang B, Hu L, Luo X. Modeling and Experimental Study on the Influence of Support Stiffness on the Vibration of Piston Pump. Journal of Vibration Engineering & Technologies. 2023;11(7):3069-80. 10.1007/s42417-022-00731-5
Shammazov I, Sidorkin D, Dzhemilev E, editors. Research of the dependence of the pipeline ends displacement value when cutting out its defective section on the elastic stresses in the pipe body. IOP Conference Series: Earth and Environmental Science; 2022: IOP Publishing. 10.1088/1755-1315/988/2/022077
Xu Z-D, Chen Z-H, Huang X-H, Zhou C-Y, Hu Z-W, Yang Q-H, et al. Recent advances in multi-dimensional vibration mitigation materials and devices. Frontiers in Materials. 2019;6:143. 10.3389/fmats.2019.00143
Pshenin VV DE, Rozanova LR, Komarovskii MS. Results of analysis of accident rates of gas distribution systems. Problemy sbora, podgotovki i transporta nefti i nefteproduktov. 2022;4(138):89-101. 10.17122/ntj-oil-2022-4-89-101
Zemenkova MY, Chizhevskaya EL, Zemenkov YD. Intelligent monitoring of the condition of hydrocarbon pipeline transport facilities using neural network technologies. Записки Горного института. 2022;258:933-44. 10.31897/PMI.2022.105
Perveitalov OG, Nosov VV, Schipachev AM, Alekhin AI. Thermally Activated Crack Growth and Fracture Toughness Evaluation of Pipeline Steels Using Acoustic Emission. Metals. 2023;13(7):1272. 10.3390/met13071272
Shlyannikov V, Tumanov A, Zakharov A, Gerasimenko A. Surface crack growth subject to bending and biaxial tension-compression. Fracture and Structural Integrity. 2016;10(35):114-24. 10.3221/IGF-ESIS.35.14
Yusuf M, Latief Y, Rarasati AD, Trigunarsyah B, Laksono NB. Fuzzy Bayesian Belief Networks Method on Risk Assessment of EPC Pipeline Project. Civil Engineering Journal (Iran). 2025;11(3):1050-71. 10.28991/CEJ-2025-011-03-013
Baghdasaryan M, Hovhannisyn V. Stability assessment of an ore mill electric drive using machine learning. HighTech and Innovation Journal. 2024;5(2):213-30. https://doi.org/10.28991/HIJ-2024-05-02-01
Meena A, Parayil P, Suthar V. Simulation and Validation of FRP Base Plate for Electric Compressor. SAE Technical Paper; 2020. Report No.: 0148-7191.
Bolshunov AV, Ignatev SA, Gorelik GD, Krikun NS, Vasilev DA, Rakitin IV, et al. Comprehensive studies of the snow-firn layer in the area of the Russian Antarctic Vostok Station. Journal of Mining Institute. 2025.
Shojaee Barjoee S, Rodionov V, Vaziri Sereshk AM. Noise climate assessment in ceramic industries (Iran) using acoustic indices and its control solutions. Advances in Environmental Technology. 2025;11(1):91-115. 10.22104/AET.2024.6922.1899
Skamyin A, Shklyarskiy Y, Gurevich I. Influence of background voltage distortion on operation of passive harmonic compensation devices. Energies. 2024;17(6):1342. 10.3390/en17061342
Shibanov D, Ivanov S. Failure risks of mine excavator associated with its maintenance and repair. Russian Mining Industry. 2024;2:97-102. 10.30686/1609-9192-2024-2-97-102
Khamidov O, Shibanov D, Shishkin P, Kolpakov V. Efficiency of excavators application in open pit mines of Uzbekistan. Min Ind J. 2024;5:135-42. 10.30686/1609-9192-2024-5-135-142
Shammazov IA BA, Aleksandruk BS,. Algorithmic Models for Determining the Flow Patterns of Oil Pipelines in Gravity Sections. International Journal of Engineering Transactions A: Basics. 2025;38(10):2476-85. 10.5829/ije.2025.38.10a.22
Rousou K, Rani MA, Bahari A, Kyprianou A, editors. Exploratory structural modification and nonlinear based analysis of tuned mass dampers. Journal of Physics: Conference Series; 2024: IOP Publishing. 10.1088/1742-6596/2721/1/012016
Cao J, Liu B, Wu Q, Liu J. Research on the vibration control of micro-vibration using a novel hybrid isolator. Experimental Techniques. 2024:1-13. 10.1007/s40799-024-00772-3
Zang J, Cao R-Q, Zhang Y-W. Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink. Nonlinear Dynamics. 2021;105(2):1327-41. 10.1007/s11071-021-06625-7
Chang Y, Li Y, Zhou J, Wang K, Wang Q, Wen G. Compensation strategy for quasi-zero-stiffness vibration isolator under payload mismatch. Acta Mechanica Sinica. 2024;40(10):524033. 10.1007/s10409-024-24033-x
Faraj AK, Hussein HAHA. Application of finite element technique: a review study. Iraqi Journal of Chemical and Petroleum Engineering. 2023;24(1):113-24. https://doi.org/10.31699/IJCPE.2023.1.13
Fedorova E, Morgunov V, Pupysheva E. Effect of variation of internal diameter along the length of a rotary kiln on material movement. Non-ferrous Metals. 2024;56(1):28-34. 10.17580/nfm.2024.01.05
Chigarev A, Kravchuk A, Smalyuk A. ANSYS for engineers: reference manual. Mechanical Engineering. 2004;1.
Wang Z, Zhang Q, Zhang K, Hu G. Tunable digital metamaterial for broadband vibration isolation at low frequency. Advanced materials. 2016;28(44):9857-61. 10.1002/adma.201604009
Almashhor A, Asiri SA. Development of a new tuned vibration absorber based on one degree-of-freedom of translational motion. Cogent Engineering. 2021;8(1):1976929. 10.1080/23311916.2021.1976929
Pshenin V, Menshikov S, Komarovskiy M, editors. Study of static charge accumulation in HDPE gas pipelines. E3S Web of Conferences; 2023: EDP Sciences. 10.1051/e3sconf/202337802001
Schipachev A, Fetisov V, Nazyrov A, Donghee L, Khamrakulov A. Study of the pipeline in emergency operation and assessing the magnitude of the gas leak. Energies. 2022;15(14):5294. 10.3390/en15145294
Budilov,I. N. and Tyulyandin,S. N. (2026). Ensuring Vibration Strength of Mainline Pumping Unit Systems Using Digital Prototypes. International Journal of Engineering, 39(5), 1226-1237. doi: 10.5829/ije.2026.39.05b.15
MLA
Budilov,I. N. , and Tyulyandin,S. N. . "Ensuring Vibration Strength of Mainline Pumping Unit Systems Using Digital Prototypes", International Journal of Engineering, 39, 5, 2026, 1226-1237. doi: 10.5829/ije.2026.39.05b.15
HARVARD
Budilov I. N., Tyulyandin S. N. (2026). 'Ensuring Vibration Strength of Mainline Pumping Unit Systems Using Digital Prototypes', International Journal of Engineering, 39(5), pp. 1226-1237. doi: 10.5829/ije.2026.39.05b.15
CHICAGO
I. N. Budilov and S. N. Tyulyandin, "Ensuring Vibration Strength of Mainline Pumping Unit Systems Using Digital Prototypes," International Journal of Engineering, 39 5 (2026): 1226-1237, doi: 10.5829/ije.2026.39.05b.15
VANCOUVER
Budilov I. N., Tyulyandin S. N. Ensuring Vibration Strength of Mainline Pumping Unit Systems Using Digital Prototypes. IJE, 2026; 39(5): 1226-1237. doi: 10.5829/ije.2026.39.05b.15