Skip to main content
SpringerLink
Log in

Transfer Functions for Shearing Stress in Nonstationary Fluid Friction

  • Conference paper
  • First Online:
Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019) (ICIE 2019)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Included in the following conference series:

Abstract

The dependence in the operator form for the shearing stress in nonstationary fluid friction is obtained. The transfer functions for the shearing stress of the velocity of the moving element and the pressure gradient are determined. Based on the analysis of amplitude-frequency characteristics, the boundaries of a quasi-stationary approach are established for calculating the forces of nonstationary viscous friction on the moving elements of hydraulic devices. To calculate the shearing stress, considering the effect of the inertia of the flow structure, we consider a nonstationary plane laminar motion of incompressible fluid in the gap between a moving and a fixed element in the Cartesian coordinate system. The solution of the equation of motion in partial derivatives is fulfilled using the Laplace transform. The estimation of the boundaries of the quasi-stationary approach to the calculation of the forces of nonstationary viscous friction is made from the amplitude-frequency characteristics of vibrations of the moving element and the pressure gradient. As the boundaries of quasi-stationarity, the frequencies at which the amplitude changes by more than 5% are adopted.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Popov D (1987) Dynamics and regulation hydro-and pneumatic systems. Machinery Engineering, Moscow

    Google Scholar 

  2. Popov D (2005) Mechanics of hydro- and pneumodrives. MGTU, Moscow

    Google Scholar 

  3. Sokolov V, Rasskazova Y (2016) Automation of control processes of technological equipment with rotary hydraulic drive. East-Eur J Enterp Technol 2/2(80):44–50. https://doi.org/10.15587/1729-4061.2016.63711

    Article  Google Scholar 

  4. Popov D (1982) Non-stationary hydromechanical processes. Machinery Engineering, Moscow

    Google Scholar 

  5. Sokolov V, Krol O (2019) Determination of transfer functions for electrohydraulic servo drive of technological equipment. In: Advances in design, simulation and manufacturing. DSMIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham, pp 364–373. https://doi.org/10.1007/978-3-319-93587-4_38

    Google Scholar 

  6. Emtsev B (1987) Technical hydromechanics. Machinery Engineering, Moscow

    Google Scholar 

  7. Loytsyanskiy L (1987) Mechanics of a liquid and gas. Science, Moscow

    Google Scholar 

  8. Sokolov V, Krol O (2017) Installations criterion of deceleration device in volumetric hydraulic drive. Procedia Eng 206:936–943. https://doi.org/10.1016/j.proeng.2017.10.575

    Article  Google Scholar 

  9. Navrotskiy K (1991) Theory and designing hydro- and pneumodrives. Machinery Engineering, Moscow

    Google Scholar 

  10. Sveshnikov V (2008) Hydrodrives of tools. Machinery Engineering, Moscow

    Google Scholar 

  11. Shevchenko S, Muhovaty A, Krol O (2016) Geometric aspects of modifications of tapered roller. Procedia Eng 150:1107–1112. https://doi.org/10.1016/j.proeng.2016.07.221

    Article  Google Scholar 

  12. Shevchenko S, Muhovaty A, Krol O (2017) Gear clutch with modified tooth profiles. Procedia Eng 206:979–984. https://doi.org/10.1016/j.proeng.2017.10.581

    Article  Google Scholar 

  13. Kreynin G, Krivts I (1993) Hydraulic and pneumatic drives of industrial robots and automatic manipulators. Machinery Engineering, Moscow

    Google Scholar 

  14. Krol O, Sokolov V (2018) Development of models and research into tooling for machining centers. East-Eur J Enterp Technol 3/1(93):12–22. https://doi.org/10.15587/1729-4061.2018.131778

    Article  Google Scholar 

  15. Sveshnikov V (2007) Hydrodrives in modern mechanical engineering. Hydraul Pneum 28:10–16

    Google Scholar 

  16. Krol O, Sokolov V (2018) Modelling of spindle nodes for machining centers. J Phys: Conf Ser 1084:012007. https://doi.org/10.1088/1742-6596/1084/1/012007

    Article  Google Scholar 

  17. Abrahamova T, Bushuyev V, Gilova L (2012) Metal-cutting machine tools. Machinery Engineering, Moscow

    Google Scholar 

  18. Rasskazova Y, Stepanova O, Azarenko N (2016) Perfection of electrohydraulic drives of machine-building equipment. VDEUNU, Severodonetsk

    Google Scholar 

  19. Sokolova Y, Tavanyuk T (2013) Modeling of automatic electrohydraulic drives of special technological equipment. Knowledge, Donetsk

    Google Scholar 

  20. Sokolov V, Krol O, Stepanova O (2018) Automatic control system for electrohydraulic drive of production equipment. In: 2018 international Russian automation conference. IEEE. https://doi.org/10.1109/rusautocon.2018.8501609

  21. Sokolova Y, Azarenko N (2014) The synthesis of system of automatic control of equipment for machining materials with hydraulic drive. East-Eur J Enterp Technol 2/2(68):56–60

    Google Scholar 

  22. Sokolova Y, Tavanyuk T, Greshnoy D (2011) Linear modeling of the electrohydraulic watching drive. TEKA. Comm Mot Energ Agric XIB:167–176

    Google Scholar 

  23. Kim D (2003) Theory of automatic control. Vol 1. Linear systems. Fizmathlit, Moscow

    Google Scholar 

  24. Lurie B, Enright P (2004) Classical automation control methods. BHV-Petersburg, Saint-Petersburg

    Google Scholar 

  25. Pupkov K, Egupov N (2004) Methods of classical and modern theory for automation control. Vol 3. Synthesis of controllers for automation control systems. Publisher Bauman, Moscow

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Volodymyr Dahl East Ukrainian National University, 59-a, Central Ave., Severodonetsk, 93400, Ukraine

    V. Sokolov

Authors
  1. V. Sokolov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. Sokolov .

Editor information

Editors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Andrey A. Radionov

  2. Platov South-Russian State Polytechnic University, Novocherkassk, Russia

    Oleg A. Kravchenko

  3. South Ural State University, Chelyabinsk, Russia

    Victor I. Guzeev

  4. South Ural State University, Chelyabinsk, Russia

    Yurij V. Rozhdestvenskiy

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sokolov, V. (2020). Transfer Functions for Shearing Stress in Nonstationary Fluid Friction. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019). ICIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-22041-9_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-22041-9_76

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-22040-2

  • Online ISBN: 978-3-030-22041-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation