Finding and analyzing of the energy and force parameters of the flange formation process by orbital stamping by rolling




discrete hydraulic actuator, nonlinear friction force, braking process, velocity, inertial mass, braking time, peak pressure


The study was carried out based on the developed mathematical model of the discrete hydraulic actuator. The model is characterized by considering the nonlinear friction based on the LuGre model, the bidirectional motion of the asymmetric hydraulic cylinder, and the elastic properties of the fluid. A series of simulation experiments on the braking process of the hydraulic actuator in the discrete control mode were carried out. The quantitative relationship between the rod braking time, the maximum peak pressure in the hydraulic cylinder chambers, the value of the initial rod velocity and the inertial mass of the moving parts are determined. Based on the research results it is possible to predict the braking time of the rod and the maximum peak pressure in the hydraulic cylinder chambers under various operating conditions and inertial loads. These predictions can be used in the settings and design process of hydraulic actuators.


  1. M. A. Novik et al., “Multi-position actuator,” (in Ukraine), UA Patent Invention Model 90383, Feb. 10, 2010.
  2. V. V. Petrenko et al., “Pneumohydraulic multi-position actuator with volumetric hydraulic digital dispenser”, Innovations of youth in mechanical engineering, vol. 2, pp. 104–112, 2020.
  3. M. A. Novik et al., “Digital rotary actuator,” (in Ukraine), UA Patent Utility Model 66811, Jan. 25, 2012.
  4. Bader, Munaf F., “Position Control System of Hydraulic CylinderBased on Microcontroller,” Journal of Engineering and Sus-tainable Development, vol. 12, pp. 25–39, Sep. 2008.
  5. Rooks, B.W., and S.A. Tobias. “A Simple Accurate Positioning System for an Industrial Robot.” Industrial Robot: An Interna-tional Journal, vol. 1, no. 6, pp. 255–260, Jun. 1 1974, doi:
  6. Z. H. Liu et al., “The position control of hydraulic cylinder based on high-speed on-off valve,” International Journal of Model-ling, Identification and Control, vol. 22, no. 1, pp. 54–67, 2014, doi:
  7. A. Saeedzadeh, S. M. Rezaei and M. Zareinejad, “Energy-efficient position control of an actuator in a digital hydraulic system using on/off valve,” 2016 4th International Conference on Robotics and Mechatronics (ICROM), Tehran, Iran, 2016, pp. 234–239, doi:
  8. YU Juntao et al., “Research on cylinder position control system with high-speed on-off valve drived by piezoelectric,” Journal of Beijing University of Aeronautics and Astronautics, vol. 04, pp. 706–714, 2021, doi:
  9. M. B. Rannow and P. Y. Li, “On/off valve based position control of a hydraulic cylinder.” In ASME International Mechanical Engineering Congress and Exposition, vol. 42983, pp. 141–149, Nov. 11 2007, doi:
  10. Z. H. Liu, Q. H. Gao and H. L Niu, “The position control of the hydraulic cylinder controlled by the high-speed on-off valve,” Sensors & Transducers, vol. 160, no. 12, pp. 590–601, Dec 2013.
  11. J. Ruan and R. T. Burton, “An electrohydraulic vibration exciter using a two-dimensional valve,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 223, no.2, pp. 135–147, 2009, doi:
  12. Ren Yan and Jian Ruan, “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, 2016, doi:
  13. Tsuchiya, Sojiro, Hironao Yamada and Takayoshi Muto, “A precision driving system composed of a hydraulic cylinder and high-speed on/off valves,” International Journal of Fluid Power, vol. 2, no.1, pp.7–16, 2001, doi:
  14. Muto Takayoshi, Hironao Yamada and Sojiro Tsuchiya, “A Precision Driving System Composed of a Hydraulic Cylinder and High-Speed ON/OFF Valves (Development of the System and Its Application to a Micro-Machine-Tool),” SAE Transactions, vol. 111, pp. 484–494, 2002,
  15. Gao, Qinhe et al, “Position Control of Hydraulic Cylinder Controlled by High-speed On-off Valve,” China Mechanical Engi-neering, vol.25, no.20, pp.2775, 2014, doi:
  16. Liu Zhihao, Qinhe Gao and Hailong Niu, “The research on the position control of the hydraulic cylinder based on the compound algorithm of fuzzy & feedforward-feedback,” Sensors & Transducers, vol. 162, no. 1, pp. 314, 2014.
  17. K. Johanastrom and C. Canudas-de-Wit, “Revisiting the LuGre friction model,” in IEEE Control Systems Magazine, vol. 28, no. 6, pp. 101–114, Dec. 2008, doi:
  18. Piatkowski, Tomasz, “Dahl and LuGre dynamic friction models–The analysis of selected properties, “ Mechanism and Machine Theory, vol. 73, pp. 91–100, 2014, doi:
  19. Qin, Bonan et al, “Design and performance analysis of the hydropneumatic suspension system for a novel road-rail vehicle,” Applied sciences, vol. 11, no. 5, pp. 2221, 2021, doi:
  20. P-AJ. Bliman, “Mathematical study of the Dahl's friction model,” European journal of mechanic. A. Solids, vol. 11, no. 6, pp. 835–848, 1992.
  21. Jr. Haessig, A. David and F. Bernard, “On the modeling and simulation of friction,” ASME. J. Dyn. Sys., Meas., Control, vol. 113, no. 3, pp. 354–362, Sep. 1991, doi:
  22. C. Iurian et al., “Identification of a system with dry friction,” 2005.
  23. A. Mashayekhi et al., “Analytical describing function of LuGre friction model,” International Journal of Intelligent Robotics and Applications, vol. 6, no. 3, pp. 437–448, 2022, doi:
  24. G. A. O. Shun-kai, “Hydraulic High-speed Impact Simulation System,” Chinese Hydraulics & Pneumatics, vol. 09, pp. 115, 2019, doi: issn.1000-4858.2019.09. 019.
  25. Jin, Xiang Shu, Bin Hui Rong and Xue Zhong Tang, “Dynamic Property Simulations of Hydraulic Cylinder Based on Sim-ulink,” Applied Mechanics and Materials, vol. 33, pp. 22–27, 2010, doi:
  26. Xu, Bing et al., “Safety brake performance evaluation and optimization of hydraulic lifting systems in case of overspeed drop-ping,” Mechatronics, vol. 23, no. 8, pp. 1180–1190, 2013, doi:
  27. M. Despotovic et al., “Evaluation of empirical models for predicting monthly mean horizontal diffuse solar radiation,” Renewable and Sustainable Energy Reviews, vol. 56, pp. 246–260, 2016, doi:



How to Cite

Q. Li and O. Uzunov, “Finding and analyzing of the energy and force parameters of the flange formation process by orbital stamping by rolling”, Mech. Adv. Technol., vol. 8, no. 1(100), pp. 73–79, Mar. 2024.