Study on static load distribution of ball screw with gothic arc groove

Takafumi Yoshida*, Yasuyoshi Tozaki, Naoki Kato, Shiki Matsuo, Susumu Matsumoto

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Ball screws offer many specific features, such as high mechanical performance, high accuracy, long-term stability and suitability to a wide range of loads and speeds. Therefore, they are used as central elements in driving and transmission mechanisms. In a ball screw, the ball load distribution is an important factor for fatigue life, torque loss and lubricating condition of the ball screw. A new analytical method which is presented by this paper can be used to determine the ball load distribution including the effect on a given ball screw geometry and arbitrary load condition such as axial force, radial force and moment The method is an expansion of the analytical method of ball bearing described by JONES and includes the change of contact angle, contact deformation between the ball and raceway as well as stiffness of the shaft and nut. A parametric study on a ball screw is carried out to estimate the effectiveness of the method as a design tool.

Original languageEnglish
Pages (from-to)793-800
Number of pages8
JournalToraibarojisuto/Journal of Japanese Society of Tribologists
Issue number11
Publication statusPublished - 2007


  • Ball screw
  • Elastic deformation
  • Gothic arc
  • Load distribution
  • Multi start thread

ASJC Scopus subject areas

  • Mechanical Engineering


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