Science China Technological Sciences

, Volume 59, Issue 9, pp 1320–1327 | Cite as

Stripe theory based numerical method for solving asymmetrical hysteresis of friction force in linear rolling guideways

  • Yang Zhao
  • YinHu Xi
  • JunHong MaoEmail author
  • Patrick Pat Lam Wong


Linear rolling guideways (LRGs) play an important role in precision engineering. In the pre-rolling region, the hysteretic friction force exerts great impacts on the positioning accuracy. Numerical and experimental studies of the hysteresis of friction force are presented in this paper. A model, which is based on the stripe theory and the simplified theory of rolling contact, is built to describe the transient hysteresis of the friction force. Then, the model is modified by taking the anelasticity effect into consideration. Experimentally, a linear motor direct-drive setup is utilized to measure the transient asymmetrical hysteresis of the friction force in the pre-rolling region of an LRG. The influences of the pre-rolling displacement and the dwelling time on the asymmetrical hysteresis of the friction force are studied. The numerical and experimental results are well correlated, which shows good accuracy of the model. The transient asymmetrical hysteresis of friction force in the pre-rolling region of LRGs can thus be determined using the model.


pre-rolling friction anelasticity hysteresis linear rolling guideway 


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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Yang Zhao
    • 1
    • 2
  • YinHu Xi
    • 1
  • JunHong Mao
    • 1
    Email author
  • Patrick Pat Lam Wong
    • 2
  1. 1.Theory of Lubrication and Bearing Institute, Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing SystemXi’an Jiaotong UniversityXi’anChina
  2. 2.Department of Mechanical and Biomedical EngineeringCity University of Hong KongHong KongChina

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