吉林大学学报(工学版) ›› 2022, Vol. 52 ›› Issue (2): 353-360.doi: 10.13229/j.cnki.jdxbgxb20211084

• 车辆工程·机械工程 • 上一篇    

虑及结构参数误差的滚珠丝杠接触载荷建模与分析

程强1,2(),王畅1,2,齐宝宝3,张彩霞1,2(),杨聪彬1,2,刘志峰1,3   

  1. 1.北京工业大学 先进制造与智能技术研究所,北京 100124
    2.北京工业大学 先进制造技术北京市重点实验室,北京 100124
    3.吉林大学 机械与航空航天工程学院,长春 130022
  • 收稿日期:2021-10-22 出版日期:2022-02-01 发布日期:2022-02-17
  • 通讯作者: 张彩霞 E-mail:chengqiang@bjut.edu.cn;zhang_cx15@bjut.edu.cn
  • 作者简介:程强(1979-),男,教授,博士.研究方向:机床精度保持性与可靠性设计.E-mail:chengqiang@bjut.edu.cn
  • 基金资助:
    国家自然科学基金项目(51975012);国家科技重大专项项目(2018ZX04033001-003)

Modeling and analysis of contact load of ball screw with error of structural parameters

Qiang CHENG1,2(),Chang WANG1,2,Bao-bao QI3,Cai-xia ZHANG1,2(),Cong-bin YANG1,2,Zhi-feng LIU1,3   

  1. 1.Institute of Advanced Manufacturing and Intelligent Technology,Beijing University of Technology,Beijing 100124,China
    2.Beijing Key Laboratory of Advanced Manufacturing Technology,Beijing University of Technology,Beijing 100124,China
    3.College of Mechanical and Aerospace Engineering,Jilin University,Changchun 130022,China
  • Received:2021-10-22 Online:2022-02-01 Published:2022-02-17
  • Contact: Cai-xia ZHANG E-mail:chengqiang@bjut.edu.cn;zhang_cx15@bjut.edu.cn

摘要:

为提高滚珠丝杠副的定位精度,提出了一种复合载荷作用下考虑滚珠几何误差的双螺母滚珠丝杠副载荷分布模型,分析了在不同轴向载荷和径向载荷复合作用下所有滚珠接触载荷分布状况,在此基础上分析了滚珠几何误差对滚珠动静态接触载荷分布的影响。仿真分析结果表明:本文提出的载荷分布模型对提高滚珠丝杠副的位置精度预测及其定位误差补偿有较好的参考意义。

关键词: 滚珠丝杠副, 接触载荷, 结构误差, 双螺母

Abstract:

In order to improve the positioning accuracy of ball screw pair, a double-nut ball screw load distribution model considering the geometric error of the ball under the compound load is proposed in this paper. The distribution of all ball contact loads under the compound action of different coaxial and radial loads is analyzed. On this basis, the influence of ball geometric error on dynamic and static contact load distribution is analyzed. The simulation results show that the load distribution model proposed in this paper has good reference significance for improving the position accuracy prediction and positioning error compensation of ball screw pair.

Key words: ball screw pair, contact load, structural error, double nut

中图分类号: 

  • TH132

表1

滚珠丝杠结构参数"

D/mmrj/mmro/mmDo/mmE1,E2/MPaμ1,μ2β0/ (°)α/ (°)zn
6.353.3023.302322.1×1050.3455.68482.5

图1

无尺寸误差情况下滚珠的接触载荷分布"

图2

不同径向载荷作用下滚珠接触载荷分布"

图3

不同轴向载荷作用下滚珠接触载荷分布"

图4

存在3 μm正尺寸误差的3号滚珠接触载荷分布"

图5

存在3 μm正尺寸误差下工作过程中左、右螺母3号滚珠接触载荷分布"

图6

存在3 μm负尺寸误差的3号滚珠接触载荷分布"

图7

存在3 μm负尺寸误差下左、右螺母工作过程中滚珠接触载荷分布"

图8

存在随机尺寸误差下滚珠的载荷分布"

图9

存在随机尺寸误差下左右螺母工作过程中滚珠接触载荷分布"

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