Modeling of Wave Processes in Hydraulic Drive Systems of Technological Equipment | Journal of Engineering Sciences

Modeling of Wave Processes in Hydraulic Drive Systems of Technological Equipment

Author(s): Ivanchuk1 Y. V.1*, Belzetskyi R. S.1, Ozeranskyi V. S.1, Khomenko V. M.1, Dobrovolska K. V.2

Affiliation(s):
1 Vinnytsia National Technical University, 95, Khmelnytske Hwy., 21021, Vinnytsia, Ukraine;
2 National Pirogov Memorial Medical University, 56, Pyrohova St., 21018 Vinnytsia, Ukraine

*Corresponding Author’s Address: [email protected]

Issue: Volume 11, Issue 1 (2024)

Dates:
Submitted: October 3, 2023
Received in revised form: December 11, 2023
Accepted for publication: December 19, 2023
Available online: January 10, 2024

Citation:

Ivanchuk Y. V., Belzetskyi R. S., Ozeranskyi V. S., Khomenko V. M., Dobrovolska K. V. (2024). Modeling of wave processes in hydraulic drive systems of technological equipment. Journal of Engineering Sciences (Ukraine), Vol. 11(1), pp. D19–D26. https://doi.org/10.21272/jes.2024.11(1).d3

DOI: 10.21272/jes.2024.11(1).d3

Research Area:  Dynamics and Strength of Machines

Abstract. The article, based on the performed theoretical research, solves the essential scientific and technical problem of increasing the accuracy of identification of wave processes in a hydrodynamic system (pipeline) by developing a generalized method of mathematical designing of the dynamics of a continuous viscous and weakly compressed fluid in the hydrodynamic system pipeline based on the Navier-Stokes equation. Amplitude-frequency characteristics represent parameters of wave processes in the hydraulic drive system. A partial solution of Navier–Stokes equations, under zero initial conditions, is proposed in the form of four-pole equations, the components of which are represented in the form of the Laplace image of the corresponding relative pressure and flow coordinates and the the hydraulic line parameters determine the four-pole elements themselves It is also proposed to determine the values of the four-pole elements based on time constants and relative damping coefficients on the frequency characteristics of hydraulic lines with distribution parameters based on the condition of equality of the first resonant frequencies and amplitudes (at these frequencies). With the help of the developed methods, the primary dynamic parameters of the amplitude-frequency characteristics of continuous viscous and weakly compressed liquid in the pipeline of hydraulic systems for different flow ranges. This made it possible to achieve the following practical results: the high degree of adequacy of the developed mathematical model indicates an increase in the reliability of determining the operating characteristics when designing a hydraulic drive. The high accuracy of determining the first resonant frequencies and amplitudes allows for creating a hydraulic pump with improved operational characteristics.

Keywords: vibration, operating fluid, Navier–Stokes equations, amplitude-frequency response, resonance mode.

References:

  1. Yakoubi, D. (2023). Enhancing the viscosity-splitting method to solve the time-dependent Navier–Stokes equations. Communications in Nonlinear Science and Numerical Simulation, Vol. 123, 107264. https://doi.org/10.1016/j.cnsns.2023.107264
  2. Koval’chuk, R., Molkov, Y., Lenkovskiy, T., Grytsenko, O., Krasinskyi, V., Garbacz, T. (2018). Drive system parameters influence on run-up process of the drilling rig pumping unit. Advances in Science and Technology Research Journal, Vol. 12, pp. 199–206. https://doi.org/10.12913/22998624/100442
  3. Manzhilevskyy, O.D. (2019). Analysis of hydraulic vibration drive machine for vibration abrasive processing. Przeglad Elektrotechniczny, Vol. 1(4), pp. 95–99. https://doi.org/10.15199/48.2019.04.16
  4. Ivanchuk, Y., Manzhilevskyy, O., Belzetskyi, R., Zamkovyi, O., Pavlovych, R. (2022). Modelling of piling technology by vibroimpact device with hydropulse drive. Scientific Horizons, Vol. 25(1), pp. 9–20. https://doi.org/10.48077/scihor.25(1).2022.9-20
  5. Jinjian, Z., Zhenyue, M., Xueni, W., Qianqian, W., Leike Z. (2023). Transient vibration of shafting in coupled hydraulic-mechanical-electrical- structural system for hydropower station during start-up process. Applied Mathematical Modelling, Vol. 124, pp. 860–880. https://doi.org/10.1016/j.apm.2023.08.041
  6. Rukavishnikov, V.A., Rukavishnikov, A.V. (2023). Theoretical analysis and construction of numerical method for solving the Navier–Stokes equations in rotation form with corner singularity. Journal of Computational and Applied Mathematics, Vol. 429, 115218. https://doi.org/10.1016/j.cam.2023.115218
  7. Parchei-Esfahani, M., Gee, B., Gracie, R. (2020). Dynamic hydraulic stimulation and fracturing from a wellbore using pressure pulsing. Engineering Fracture Mechanics, Vol. 235, pp. 107–152. https://doi.org/10.1016/j.engfracmech.2020.107152
  8. Shatokhin, V.M., Sobol, V.N., Wуjcik, W., Mussabekova, A., Baitussupov, D. (2019). Dynamical processes simulation of vibrational mounting devices and synthesis of their parameters. Przeglad Elektrotechniczny, Vol. 4(19), pp. 86–92. https://doi.org/10.15199/48.2019.04.15
  9. Kant, S., Munjal, M.L., Rao, D.L.P. (1974). Waves in branched hydraulic pipes. Journal of Sound and Vibration. Vol. 37(4), pp. 507–519. https://doi.org/10.1016/S0022-460X(74)80030-1
  10. Iskovych-Lototsky, R.D., Ivanchuk, Y.V., Veselovska, N.R., Surtel, W., Sundetov, S. (2018). Automatic system for modeling vibro-impact unloading bulk cargo on vehicles. In: Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments, 1080860. https://doi.org/10.1117/12.2501526
  11. Iskovych-Lototsky, R.D., Ivanchuk, Y.V., Veselovsky, Y.P., Gromaszek, K., Oralbekova, A. (2018). Automatic system for modeling of working processes in pressure generators of hydraulic vibrating and vibro-impact machines. In: Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments, 1080850. https://doi.org/10.1117/12.2501532
  12. Zhang, Z. (2019). Wave tracking method of hydraulic transients in pipe systems with pump shut-off under simultaneous closing of spherical valves. Renewable Energy, Vol. 132, pp. 157–166. https://doi.org/10.1016/j.renene.2018.07.119
  13. Harlow, F.H., Welch, J.E. (1965). Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids, Vol. 8(12), pp. 2182–2189.
  14. Iskovych-Lototsky, R., Kots, I., Ivanchuk, Y., Ivashko, Y., Gromaszek, K., Mussabekova, A., Kalimoldayev, M. (2019). Terms of the stability for the control valve of the hydraulic impulse drive of vibrating and vibro-impact machines. Przeglad Elektrotechniczny, Vol. 4(19), pp. 19–23. https://doi.org/10.15199/48.2019.04.04
  15. Amsden, A.A., Harlow, F.H. (1970). The SMAC Method. Los Alamos Scientific Lab., Rept. NLA-4370. Los Alamos, USA.
  16. Easton, C.R. (1972). Homogeneous boundary conditions for pressure in MAC method. J.Comput. Phys., Vol. 9(2), pp. 375–379.
  17. Ferras, D., Manso, P.A., Schleiss, A.J., Covas, D.I.C. (2017). Fluid-structure interaction in straight pipelines with different anchoring conditions. Journal of Sound and Vibration, Vol. 394, pp. 348–365. https://doi.org/10.1016/j.jsv.2017.01.047
  18. Abramian, A.K. (2010). Wave propagation in a two-dimensional plane straight duct with panels embedded in its sidewalls. Journal of Sound and Vibration, Vol. 329(8), pp. 994–1006. https://doi.org/10.1016/j.jsv.2009.10.034
  19. Hirmand, M.R., Vahab, M., Papoulia, K.D., Khalili, N. (2019). Robust simulation of dynamic fluid-driven fracture in naturally fractured impermeable media. Computer Methods in Applied Mechanics and Engineering, Vol. 357, pp. 112–574. https://doi.org/10.1016/j.cma.2019.112574
  20. Zhiwei, Q., Xianghua, Y., Daozhi, W., Siwen, F., Qiuping, W. (2023). Physical model driven fault diagnosis method for shield Machine hydraulic system. Measurement, Vol. 220, 113436. https://doi.org/10.1016/j.measurement.2023.113436
  21. Wilcox, D.C. (1988). Reassessment of the scale-determining equation for advanced turbulence models. AIAA Journal, Vol. 26(11), pp. 1299–1310. https://doi.org/10.2514/3.10041
  22. Yan, R., Jian, R. (2016). Theoretical and experimental investigations of vibration waveforms excited by an electro-hydraulic type exciter for fatigue with a two-dimensional rotary valve. Mechatronics, Vol. 33, pp. 161–172. https://doi.org/10.1016/j.mechatronics.2015.12.006
  23. Xin, F., Chang-An, Z., Xiao-Ye, M., Hu, D. (2023). Resonance regulation on a hydraulic pipe via boundary excitations. International Journal of Mechanical Sciences, Vol. 252, 108375. https://doi.org/10.1016/j.ijmecsci.2023.108375
  24. Fossen, T.I., Nijmeijer, H. (2012). Parametric Resonance in Dynamical Systems. Springer, New York, NY, USA. https://doi.org/10.1007/978-1-4614-1043-0
  25. Mikota, G., Manhartsgruber, B., Kogler, H., Hammerle, F. (2017). Modal testing of hydraulic pipeline systems. Journal of Sound and Vibration, Vol. 409, pp. 256–273. https://doi.org/10.1016/j.jsv.2017.08.001
  26. Stosiak, M. (2011). Vibration insulation of hydraulic system control components. Archives of Civil and Mechanical Engineering, Vol. 11(1), pp. 237–248. https://doi.org/10.1016/S1644-9665(12)60186-1
  27. Urbanowicz, K., Bergant, A., Stosiak, M., Karpenko, M., Bogdevičius, M. (2023). Developments in analytical wall shear stress modelling for water hammer phenomena. Journal of Sound and Vibration, Vol. 562, 117848. https://doi.org/10.1016/j.jsv.2023.117848
  28. Bingham, C., Stone, D.A., Schofield, N., Howe, D., Peel, D. (2000), Amplitude and frequency control of a vibratory pile driver. IEEE Transactions on Industrial Electronics, Vol. 47(3), pp. 623–631. https://doi.org/10.1109/41.847903
  29. Zouari, F., Nasraoui, S., Louati, M., Ghidaoui, M.S. (2021). Transformation between damped and undamped waterhammer waves. Journal of Sound and Vibration, Vol. 491, 115706. https://doi.org/10.1016/j.jsv.2020.115706
  30. Al-Habaibeh, A., Hamadeh, L., McCague, J. (2023). Experimental study for evaluating the response of the power take off of a point absorber wave energy generation system using a hydraulic wave simulator. Ocean Engineering, Vol. 281, 114906. https://doi.org/10.1016/j.oceaneng.2023.114906

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