• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2016, Vol. 52 ›› Issue (7): 97-103.doi: 10.3901/JME.2016.07.097

• 摩擦学 • 上一篇    下一篇

考虑反向器影响的滚珠丝杠副摩擦力矩计算模型

王恒, 张俊杰, 王永泉, 陈花玲   

  1. 西安交通大学机械工程学院 西安 710049
  • 出版日期:2016-04-05 发布日期:2016-04-05
  • 作者简介:王恒,男,1991年出生。主要研究方向为机床结构动力学分析及功能部件性能特性。E-mail:wangheng12@126.com;张俊杰,男,1988年出生。主要研究方向机床结构动力学分析及功能部件性能特性。E-mail:zjunjie29@163.com;王永泉(通信作者),男,1976年出生,博士,副教授,博士研究生导师。主要研究方向为机械结构动力学、智能材料与结构等。E-mail:yqwang@mail.xjtu.edu.cn;陈花玲,女,1954年出生,教授,博士研究生导师。主要研究方向为机械结构动力学、智能材料与结构等。E-mail:hlchen@mail.xjtu.edu.cn
  • 基金资助:
    国家科技重大专项资助项目(2012ZX04011022)

A Calculation Model for Friction Torque of Ball Screws Considering the Influence of Reversers

WANG Heng, ZHANG Junjie, WANG Yongquan, CHEN Hualing   

  1. School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049
  • Online:2016-04-05 Published:2016-04-05

摘要: 基于赫兹接触和弹性碰撞理论,分别对滚珠丝杠副反向器入口和出口处滚珠的微观动态行为和受力平衡状态进行分析,揭示滚珠进出反向器时的碰撞和预紧受压对摩擦力矩的影响机理,建立同时考虑反向器入口及出口处影响的滚珠丝杠副摩擦力矩计算模型,并对某型丝杠进行了不同工况下的试验测试。对比分析表明,滚珠进出反向器产生的摩擦力矩是丝杠副摩擦力矩的重要组成部分,计入反向器的影响可以大幅提高摩擦力矩计算精度;其中反向器入口处因滚珠的连环碰撞使得其对摩擦力矩影响较大,而出口处的影响则相对较小。利用模型计算所得摩擦力矩,在不同转速及轴向载荷下均与实测值吻合良好,表明模型具有较高的计算精度。

关键词: 弹性碰撞, 反向器, 滚珠丝杠, 赫兹理论, 摩擦力矩

Abstract: A theoretical model for calculating the friction torque of ball screw considering the influences of the reverser is presented. Based on the theories of Hertz contact and elastic collision, the dynamic behavior and force conditions of the steel balls at the entrance and exit of the reverser, are analyzed respectively, explaining how the elastic collision and the preloaded pressure affect the friction torque when the balls are entering or leaving the reverser. Then, experimental tests are performed for a certain type of ball screw under different working conditions (i.e., rotating speed and axial load). Comparative analyses indicate that the additional friction torque caused by the reverser is an important part of the ball screw’s total friction torque, and the influence of the entrance is relatively greater than that of the exit, mainly due to the pileups between the balls. Using the proposed calculation model, good agreements between the theoretical and experimental results could be obtained under different axial loads and rotating speeds of ball screw, which proves the accuracy of the model.

Key words: ball screw, elastic collision, friction torque, Hertz theory, reverser

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