Numerical Model of Mechanical Interaction of Rough Surfaces of Journal Bearings of Piston Engine

  • K. GavrilovEmail author
  • A. Doikin
  • M. Izzatulloev
  • Y. Goritskiy
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The reliability of many machines and mechanisms is mainly determined by the reliability of friction pairs (in particular, journal bearings). So the journal bearings in the piston engine are mostly operated in the hydrodynamic lubrication regime and, at high loading levels, in the transient and mixed lubrication regimes. The latter is important for the determination of the service life of the tribosystem as a whole. For this aim, in this paper, we describe, develop, and apply an approach proposed earlier to build models of the interaction of rough surfaces for one of the tasks of simulation of tribological systems of the piston engine. Previously suggested models can estimate the area of contact, the friction force, coefficient of friction, wear, etc. However, this approach ignores the surfaces change and, consequently, contact and friction characteristics over the time. We described the general approach to build a model of interaction between rough surfaces, leading to the analysis of the Markov process. This method we applied for friction process and for the fatigue failure mode in which the surface element is destroyed after repeated contacts, the order of many millions. Given the initial data and the method of calculating the trajectory of movable elements on the lubricating layer taking into account rheological characteristics of lubricants, we determined the tribological parameters defining the resource of crankshaft bearings and the “piston–cylinder liner” tribosystem of the high forced piston engine.


Markov process Elrod equation Asperities interaction 



This work was financially supported by grants of the Russian Foundation for Basic Research (project no 16-08-00990).


  1. 1.
    Henry Y, Bouyer J, Fillon M (2014) An experimental hydrodynamic thrust bearing device and its application to the study of a tapered-land thrust bearing. ASME J Tribol 136:1–10CrossRefGoogle Scholar
  2. 2.
    Glavatskih S, McCarthy D, Sherrington I (2005) Hydrodynamic performance of a thrust bearing with micropatterned. Tribol Trans 148:492–498CrossRefGoogle Scholar
  3. 3.
    Lazarev VE, Gavrilov KV, Doikin AA, Sequrd-Base J, Vorlaufer G (2014) Estimation of the tribotechnical parameters of the “piston skirt-cylinder liner” contact interface from IC-engine for decreasing the mechanical losses. In: 1st international conference on energy production and management in the 21st century: the quest for sustainable energy, WIT. Trans Ecol Environ 190(1):625–635, 23–25 Apr 2014Google Scholar
  4. 4.
    Greenwood JA, Williamson JBP (1966) Contact of Nominally Flat Surfaces. Proc Royal Soc Ser A 295:300–319CrossRefGoogle Scholar
  5. 5.
    Rozhdestvensky Y, Gavrilov K (2014) Numerical and experimental investigations of tribosystems of piston engines taking into account boundary lubrication regime, macro and microgeometry of contact interface. STLE Annual meeting & exhibition, Disney’s Contemporary Resort Lake Buena Vista, Florida, USA, 18–22 May 2014Google Scholar
  6. 6.
    Goritskiy Y, Gavrilov K, Rozhdestvensky Y, Doikin A (2015) Numerical model of mechanical interaction between rough surfaces of tribosystem of the high forced diesel engine. Proc Eng 129:518–525CrossRefGoogle Scholar
  7. 7.
    Gavrilov K, Zadorozhnaya E, Doikin A (2016) Numerical simulation of tribosystems of the high-force diesel engine taking into account the rheological characteristics of a lubricant. WIT Trans Built Environ 166:499–508CrossRefGoogle Scholar
  8. 8.
    Procopyev VN, Rozhdestvensky YV, Boyarshinova AK, Zadorozhnaya EA, Gavrilov KV (2010) The dynamics and lubrication of friction pairs of piston and rotary machines: monograph, vol 1. SUSU Publishing Center, Chelyabinsk, 136 p. (in Russian)Google Scholar
  9. 9.
    Procopyev VN, Rozhdestvensky YV, Boyarshinova AK, Zadorozhnaya EA, Gavrilov KV (2011) The dynamics and lubrication of friction pairs of piston and rotary machines, monograph, vol 2. SUSU Publishing Center, Chelyabinsk, 221 p. (in Russian)Google Scholar
  10. 10.
    Gavrilov KV, Asaulyak AA, Kopyrkin IL (2015) Method based on the application of backward differentiation formulas (bdf) and its modifications for calculating of dynamics for the tribosystem of piston engines. J Comput Eng Math 2(1):3–10CrossRefGoogle Scholar
  11. 11.
    Johnson KL (1987) Contact mechanics. Cambridge University PressGoogle Scholar
  12. 12.
    Tigetov D, Goritskiy Y (2010) Markov model of mechanical interaction of rough surfaces in the process of friction. Friction Lubr Mach Mech 3:4–13 (in Russian)Google Scholar
  13. 13.
    Goritskiy Y, Glavatskih S, Brazhnikova Y (2014) Markov model of interaction of rough surfaces. Friction Lubr Mach Mech 2:11–20 (in Russian)Google Scholar
  14. 14.
    Goritskiy Y, Ismailova Y, Gavrilov K, Rozhdestvensky Y, Doikin A (2015) A numerical model for mechanical interaction of rough surfaces of the “piston-cylinder liner” tribosystem. FME Trans 43:249–253Google Scholar
  15. 15.
    Goryacheva IG, Morozov AV, Rozhdestvensky YV, Gavrilov KV, Doikin AA (2013) Development of method for calculating and experimentally evaluating tribological parameters of piston-cylinder tribosystem of diesel engine. J Friction Wear 34(5):339–348CrossRefGoogle Scholar
  16. 16.
    Lazarev EV, Gavrilov KV, Doikin AA, Sekward-Badge J (2016) Modified energy model of friction and wear in ICE tribocouplings. Bull BSTU 3(51):58–66 (in Russian)Google Scholar
  17. 17.
    Gavrilov K, Goritskiy Y, Migal I, Izzatulloev M (2017) A numerical model for estimation of service life of tribological systems of the piston engine. Tribol Ind 39(3):329–333. Scholar
  18. 18.
    Lazarev EV, Gavrilov KV, Doikin AA, Asaulyak AA (2016) Experimental evaluation of friction and wear parameters in the augmented diesel piston—cylinder tribicouplings. Dvigatelestroenie 2:19–23 (in Russian)Google Scholar
  19. 19.
    Rozhdestvensky Y, Gavrilov K, Doykin A, Levanov I (2013) Numerical and experimental investigations of “piston—cylinder” Tribosystem of diesel engine. In: 5th world tribology congress, WTC 2, pp 1255–1258Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • K. Gavrilov
    • 1
    Email author
  • A. Doikin
    • 1
  • M. Izzatulloev
    • 1
  • Y. Goritskiy
    • 2
  1. 1.South Ural State UniversityChelyabinskRussia
  2. 2.National Research University “MPEI”MoscowRussia

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