东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2019, Vol. 40 ›› Issue (12): 1739-1743.DOI: 10.12068/j.issn.1005-3026.2019.12.013

• 机械工程 • 上一篇    下一篇

滚珠丝杠螺母副载荷分布的计算方法

刘畅1， 赵春雨1， 韩彦龙2， 闻邦椿1   

  1. (1.东北大学 机械工程与自动化学院， 辽宁 沈阳110819； 2. 承德石油高等专科学校， 河北 承德067000)
  • 收稿日期:2019-01-07 修回日期:2019-01-07 出版日期:2019-12-15 发布日期:2019-12-12
  • 通讯作者: 刘畅
  • 作者简介:刘畅(1991-)，男，辽宁抚顺人，东北大学博士研究生； 赵春雨(1963-)，男，辽宁黑山人，东北大学教授，博士生导师; 闻邦椿(1930-)，男，浙江温岭人，东北大学教授，博士生导师，中国科学院院士.
  • 基金资助:
    国家自然科学基金资助项目(51775094).

Calculation Method for Load Distribution of Ball Screw Nut Pairs

LIU Chang1， ZHAO Chun-yu1， HAN Yan-long2， WEN Bang-chun1   

  1. 1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China; 2. Chengde Petroleum College， Chengde 067000， China.
  • Received:2019-01-07 Revised:2019-01-07 Online:2019-12-15 Published:2019-12-12
  • Contact: ZHAO Chun-yu
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摘要： 依据滚珠丝杠螺母副工作过程的变形机制，提出了滚珠与滚道接触载荷仅引起滚道螺旋面整体轴向位置变化的假设，进而推导出滚珠与滚道接触点对应中心的轴向变化关系；依据赫兹接触理论和滚珠与滚道局部接触变形的几何关系，建立了滚珠与滚道接触力的数值计算模型.利用所提出的模型、有限元模型和现有文献模型对二维平面接触问题进行了计算，通过计算结果的对比验证了本文计算方法的准确性和适用性.以某滚珠丝杠螺母副为例，利用数值计算模型进行了计算，分析了滚珠与滚道之间的接触力和接触角随轴向载荷的变化规律.

关键词: 滚珠丝杠螺母副, 载荷分布, 赫兹接触, 有限元方法, 轴向载荷

Abstract: It was assumed that the contact loads between the balls and the grooves only cause the overall axial deformation of grooves’ helical surfaces based on the deformation mechanism of ball screw nut pairs， and then the axial deformation of the contact points between the balls and the grooves corresponding to the groove centers was deduced. According to the Hertz contact theory and the geometric relationship of the local deformation between the balls and the grooves， a calculation model for contact load was established. The two-dimensional plane contact problem was handled by the proposed model， finite element model and existing model， and the accuracy and feasibility of the proposed model were verified by result comparison. Taking a ball screw as an example， the distribution of contact forces and contact angles between the balls and the grooves with the axial load was analyzed with the proposed model.

Key words: ball screw nut pair, load distribution, Hertz contact, finite element method, axial load

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