Journal of Engineering Mathematics

, Volume 113, Issue 1, pp 143–163 | Cite as

A simplified calculation model for the sliding contact boundaries in a hydrostatic piston mechanism

  • Jung-Hun ShinEmail author
  • Kum-Won Cho


The objective of this study was to discuss simplified calculation models for the piston/cylinder sliding mechanism in which boundary contact partly occurs invariably. An efficient prediction of the boundary leakage and friction is often needed, such as in a swash-plate axial piston machine whose lubrication test is hard to perform due to the mechanism complexity. In order to model this physically uncertain lubrication regime, two calculation models were compared to compute the lubrication behaviors: “rigid boundary model”, whose theoretical concept was previously reported in the literature, and “elastic boundary model”, newly proposed in this study. Developed numerical algorithms commonly facilitated the simultaneous calculation of body motion and fluid film pressure to observe piston motion, reaction forces, and power loss. The results showed that simulations using the elastic boundary model should be more helpful for the prediction in the earlier development stage than the previous model since the methodology provides much less simulation time than full-order calculation, higher accuracy than the rigid model, and useful engineering parameters such as surface stress. The proposed calculation model can be extended to various asymmetrically loaded reciprocating piston mechanisms for efficiently predicting the lubrication behavior.


Boundary lubrication model Hydraulic engineering Numerical calculation Reciprocating piston mechanism 



This research was supported by the EDISON Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science & ICT (No. NRF-2011-0020576), and also by KISTI program (No. K-18-L12-C06)


  1. 1.
    Ivantysyn J, India Ivantysynova M (2001) Hydrostatic pumps and motors: principles, design, performance, modeling, analysis, control and testing. Akademia Books International, New DelhiGoogle Scholar
  2. 2.
    Yamaguchi A, Tanioka Y (1977) Motion of pistons in piston-type hydraulic machines: 1. Theoretical analysis. JSME Bull 19(130):402–407CrossRefGoogle Scholar
  3. 3.
    Yamaguchi A, Tanioka Y (1977) Motion of pistons in piston-type hydraulic machines: 2. Experiment. JSME Bull 19(130):408–412CrossRefGoogle Scholar
  4. 4.
    Yamaguchi A (1977) Motion of pistons in piston-type hydraulic machines: 3. Exponential function-type piston. JSME Bull 19(130):413–419CrossRefGoogle Scholar
  5. 5.
    Yamaguchi A (1990) Motion of the piston in piston pumps and motors: the case of metallic contact. JSME Int J III 33(4):627–633Google Scholar
  6. 6.
    Shin JH, Jung DS, Kim KW (2014) Lubrication modeling of reciprocating piston in piston pump with high lateral load. J Korean Soc Tribol Lubr Eng 30(2):116–123Google Scholar
  7. 7.
    Fang Y, Shirakashi M (1995) Mixed lubrication characteristics between the piston and cylinder in hydraulic piston pump-motor. ASME J Tribol 117:80–85CrossRefGoogle Scholar
  8. 8.
    Ezato M, Ikeya M (1993) Sliding friction characteristics between a piston and cylinder for starting and low velocity conditions in the swash-plate type axial piston motor. In: Proc 7th I fluid power symp, pp 29–37Google Scholar
  9. 9.
    Park TJ, Lee CO (1993) Hydrodynamic lateral force on a tapered piston subjected to a large pressure gradient. In: Proc 3rd ICFP, pp 44–48Google Scholar
  10. 10.
    Wondergem AM, Ivantysynova M (2015) The impact of micro-surface shaping on the piston/cylinder interface of swash plate type machines. In: ASME/BATH 2015 symp fluid power motion control. Paper No. FPMC2015-9610Google Scholar
  11. 11.
    Tanaka K, Kyogoku K, Nakahara T (1999) Lubrication characteristics on sliding surfaces in a piston pump and motor (effects of running-in, profile of piston top and stiffness). JSME Int J C 42(4):627–633CrossRefGoogle Scholar
  12. 12.
    Tanaka K, Nakahara T, Kyogoku K (2001) Experimental verification of oil whirl of piston in axial piston pump and motor. JSME Int J 44(1):627–633CrossRefGoogle Scholar
  13. 13.
    Lasaar R, Ivantysynova M (2004) An investigation into micro- and macro-geometric design of piston/cylinder assembly of swash plate machines. Int J Fluid Power 5(1):23–37CrossRefGoogle Scholar
  14. 14.
    Mizell D, Ivantysynova M (2014) Material combinations for the piston-cylinder interface of axial piston machines: a simulation study. In: 8th FPNI Ph.D Symp Fluid Power. Paper No. FPNI2014-7841Google Scholar
  15. 15.
    Shin JH (2015) Computational study on dynamic pressure in a swash-plate axial piston pump connected to a hydraulic line with an end resistance. J Mech Sci Technol 29(6):2381–2389CrossRefGoogle Scholar
  16. 16.
    Shin JH, Kim KW (2014) Effect of surface non-flatness on the lubrication characteristics in the valve part of a swash-plate type axial piston pump. Meccanica 49(5):1275–1295CrossRefGoogle Scholar
  17. 17.
    Souli M, Ouahsine A, Lewin L (2000) ALE formulation for fluid-structure interaction problems. Comput Methods Appl Mech Eng 190(5–7):659–675CrossRefGoogle Scholar
  18. 18.
    Hamrock BJ, Anderson WJ (1994) Analysis of an arched outer-race ball bearing considering centrifugal forces. J Lubr Technol 95(3):265–276CrossRefGoogle Scholar
  19. 19.
    Hamrock BJ, Brewe DE (1983) Simplified solution for stresses and deformations. J Lubr Technol 105(2):171–177CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Korea Institute of Science and Technology InformationDaejeonRepublic of Korea

Personalised recommendations