Skip to main content
Log in

Time-dependent hysteresis friction behaviors of linear rolling bearings

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Hysteresis friction behaviors of linear rolling bearings (LRBs) are important for precision positioning applications, which are related to the displacement and the traversed trajectory history within pre-rolling friction region. Although these behaviors have been pointed out in literature, the time dependence of transient hysteresis friction behaviors has not been reported before. In this work, the effects of initial conditions induced by the applied forces prior to commencement of the hysteresis motion are considered, which are denoted by the differences between the magnitudes of positive endpoints and the magnitudes of negative endpoints of virgin curves for the obtained asymmetrical hysteresis loops. The evolution of the time dependence is denoted by the decaying of the differences with the increasing dwell time. The effects of the damping and the junction growth during the dwell time are used to explain the time-dependent hysteresis friction behaviors of the LRB. The experiments of higher preload and lubrication-free conditions have been implemented as well, and the results indicate that the conditions are positive to diminish the time-dependent hysteresis friction behaviors.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Deng YJ, Xin J, Zhang ZJ (2015) A macro–micro compensation method for straightness motion error and positioning error of an improved linear stage. Int J Adv Manuf Technol 80:1799–1806

    Article  Google Scholar 

  2. Symens W, Al-Bender F (2005) Dynamic characterization of hysteresis elements in mechanical systems.II. Experimental validation. Chaos 15(1):13106

    Article  Google Scholar 

  3. Yi YS, Kim YY, Choi JS (2008) Dynamic analysis of a linear motion guide having rolling elements for precision positioning devices. J Mech Sci Technol 22:50–60

    Article  Google Scholar 

  4. Syamsula H, Oiwa T, Tanaka T, Asama J (2014) Positioning error improvement based on ultrasonic oscillation for a linear motion rolling bearing during sinusoidal motion. Precis Eng 38:617–627

    Article  Google Scholar 

  5. Al-Bender F, Symens W (2005) Characterization of frictional hysteresis in ball-bearing guideways. Wear 258:1630–1642

    Article  Google Scholar 

  6. Fukada S, Fang B, Shigeno A (2011) Experimental analysis and simulation of nonlinear microscopic behavior of ball screw mechanism for ultra-precision positioning. Precis Eng 35:650–668

    Article  Google Scholar 

  7. Iwan WD (1966) A distributed-element model for hysteresis and its steady-state dynamic response. J Appl Mech-T ASME 33(4):893–900

    Article  Google Scholar 

  8. Al-Bender F, Lampaert V, Swevers J (2005) The generalized Maxwell-slip model: a novel model for friction simulation and compensation. IEEE T Automat Contr 50(11):1883–1887

    Article  MathSciNet  MATH  Google Scholar 

  9. Xiong XG, Kikuuwe R, Yamamoto M (2013) A multistate friction model described by continuous differential equations. Tribol Lett 51:513–523

    Article  Google Scholar 

  10. Villegas FJ, Hecker RL, Peña ME, Vicente DA, Flores GM (2014) Modeling of a linear motor feed drive including pre-rolling friction and aperiodic cogging and ripple. Int J Adv Manuf Technol 73(1):267–277

    Article  Google Scholar 

  11. Findley WN, Lai JS, Onaran K (2011) Creep and relaxation of nonlinear viscoelastic materials. Dover Publications, New York

    MATH  Google Scholar 

  12. Al-Bender F, Symens W (2005) Dynamic characterization of hysteresis elements in mechanical systems.I. Theoretical analysis. Chaos 15(1):13105

    Article  Google Scholar 

  13. Moerlooze KD, Al-Bender F, van Brussel H (2011) Modeling of the dynamic behavior of systems with rolling elements. Int J Nonlin Mech 46:222–233

    Article  Google Scholar 

  14. Al-Bender F, Moerlooze KD (2008) A model of the transient behavior of tractive rolling contacts. Adv Tribol 2008:1–17

    Google Scholar 

  15. Ruderman M, Hoffmann F, Bertram T (2009) Modeling and identification of elastic robot joints with hysteresis and backlash. IEEE T Ind Electron 56(10):3840–3847

    Article  Google Scholar 

  16. Xi YH, Zhou Y, Zhang W, Mao JH (2014) An experiment method for measuring friction behaviors of linear rolling guides. Chinese Sci Bull 59:3912–3918

    Article  Google Scholar 

  17. Gitis NV, Volpe L (1992) Nature of static friction time dependence. J Phys D Appl Phys 25:605–612

    Article  Google Scholar 

  18. Öning RK, Flugge J, Bosse H (2007) A method for the in situ determination of Abbe errors and their correction. Meas Sci Technol 18:476–481

    Article  Google Scholar 

  19. Lin CY, Hung JP, Lo TL (2010) Effect of preload of linear guides on dynamic characteristics of a vertical column–spindle system. Int J Mach Tool Manu 50:741–746

    Article  Google Scholar 

  20. Etsion I (2010) Revisiting the Cattaneo–Mindlin concept of interfacial slip in tangentially loaded compliant bodies. J Tribol-T ASME 132(2):020801

    Article  Google Scholar 

  21. Ovcharenko A, Halperin G, Etsion I, Varenberg M (2006) A novel test rig for in situ and real time optical measurement of the contact area evolution during pre-sliding of a spherical contact. Tribol Lett 23(1):55–63

    Article  Google Scholar 

  22. Jang S, Khim G, Park C (2016) Estimation of friction heat in a linear motion bearing using box–Behnken design. Int J Adv Manuf Technol. doi:10.1007/s00170-016-9165-4

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Junhong Mao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xi, Y., Zhao, Y., Larsson, R. et al. Time-dependent hysteresis friction behaviors of linear rolling bearings. Int J Adv Manuf Technol 94, 3109–3116 (2018). https://doi.org/10.1007/s00170-016-9425-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-016-9425-3

Keywords

Navigation