Study on load distribution and ball motion of ball screw

Takafumi Yoshida, Yasuyoshi Tozaki, Susumu Matsumoto*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    19 Citations (Scopus)


    In a high speed ball screw, the spin motion of the ball, which results from elastic deformation at the ball -raceway contact, is an important factor in the friction heat and wear of the ball screw. A new analytical method which is presented by this paper can be used to determine the motion of the ball and the ball load distribution including the effect of the motion for a given ball screw geometry and operating condition. The method is an expansion of the analytical method of ball bearings described by Jones and includes the centrifugal force acting on the ball, change of the contact angle, contact deformation between the ball and raceway as well as stiffness of the shaft and nut. A force generated by contact between the balls is neglected. The motion of the ball is based on raceway control theory introduced by Jones. 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)659-666
    Number of pages8
    JournalToraibarojisuto/Journal of Japanese Society of Tribologists
    Issue number8 SPEC ISS.
    Publication statusPublished - 2003


    • Ball motion
    • Ball screw
    • Elastic deformation
    • Load distribution
    • Spin motion

    ASJC Scopus subject areas

    • Mechanical Engineering


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