Journal of Jilin University(Engineering and Technology Edition) ›› 2022, Vol. 52 ›› Issue (2): 353-360.doi: 10.13229/j.cnki.jdxbgxb20211084

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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

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

CLC Number: 

  • TH132

Table 1

Structural parameters of ball screw"

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

Fig.1

Contact load distribution of ball bearing without dimensional error"

Fig.2

Distribution of ball contact load under different radial loads"

Fig.3

Ball contact load distribution under different coaxial loads"

Fig.4

Contact load distribution of No.3 ball has a positive size error of 3 μm"

Fig.5

Distribution of ball contact load on the left and right nut with a positive size error of 3 μm for no.3 ball"

Fig.6

Contact load distribution of No.3 ball bearing has negative size error of 3 μm"

Fig.7

Distribution of ball contact load of left and right nut with negative size error of 3 μm"

Fig.8

Load distribution of ball bearing with random size error"

Fig.9

Distribution of ball contact load on left nut with random size error"

1 刘品, 刘岚岚. 可靠性工程基础[M].北京: 中国计量出版社, 2009.
2 王庆年, 刘松山, 王伟华, 等. 滚珠丝杠式馈能型减振器的结构设计及参数匹配[J]. 吉林大学学报: 工学版, 2012, 42(5): 1100-1106.
Wang Qing-nian, Liu Song-shan, Wang Wei-hua, et al. Structural design and parameter matching of ball screw energy regenerative shock absorber[J]. Journal of Jilin University(Engineering and Technology Edition), 2012, 42(5): 1100-1106.
3 Niu P, Cheng Q, Liu Z F, et al. A machining accuracy improvement approach for a horizontal machining center based on analysis of geometric error characteristics[J]. International Journal of Advanced Manufacturing Technology, 2021, 112(9/10): 2873-2887.
4 Qi B B, Cheng Q, Liu Z F, et al. Optimization analysis of structural parameters for ball screw precision retention based on advanced neural fuzzy network[J]. IEEE Access, 2020, 8: 199289-199307.
5 潘凯, 梁医, 冯虎田, 等. 基于疲劳加速寿命试验的滚动直线导轨副寿命评价[J]. 组合机床与自动化加工技术, 2021(5): 38-42, 46.
Pan Kai, Liang Yi, Feng Hu-tian, et al. Life evaluation of rolling linear guide pair based on fatigue accelerated life test[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2021(5): 38-42, 46.
6 周长光, 冯虎田, 陈增涛. 滚珠丝杠副预紧力衰退预测及试验研究[J]. 机械工程学报, 2020, 56(12): 123.
Zhou Chang-guang, Feng Hu-tian, Chen Zeng-tao. Prediction and experimental study on preload decline of ball screw[J]. Chinese Journal of Mechanical Engineering, 2020, 56(12): 123.
7 束方婷, 冯虎田, 周长光, 等. 双螺母滚珠丝杠副摩擦力矩损失模型及试验研究[J]. 组合机床与自动化加工技术, 2019(4): 37-40.
Shu Fang-ting, Feng Hu-tian, Zhou Chang-guang, et al. Drag torque loss model and experimental study of double-nut ball screws[J]. Combined Machine Tool & Automatic Manufacturing Technique, 2019(4): 37-40.
8 Kamalzadeh A, Gordon D J, Erkorkmaz K. Robust compensation of elastic deformations in ball screw derives[J]. International Journal of Machine Tools and Manufacture, 2010, 50(6): 559-574.
9 Feng G H, Pan Y L. Investigation of ball screw preload variation based on dynamic modeling of a preload adjustable feed-drive system and spectrum analysis of ball-nuts sensed vibration signals[J]. International Journal of Machine Tools and Manufacture, 2012, 52: 85-96.
10 Belayev V G, Turavinov V R. Effect of the lubricant on the performance characteristics of a ball and screw drive[J]. Soviet Engineering Research, 1983, 45(4): 578-586.
11 陈勇将, 汤文成, 尹飞鸿, 等. 双螺母垫片预紧式滚珠丝杠副摩擦行为分析[J]. 南京理工大学学报,2016, 40(4): 392-398.
Chen Yong-jiang, Tang Wen-cheng, Yin Fei-hong, et al. Friction behavior analysis of ball screw with double nut gaskets[J]. Journal of Nanjing University of Science and Technology, 2016, 40(4): 392-398.
12 陈勇将, 汤文成. 微型滚珠丝杠副摩擦力矩模型的建立与实验验证[J]. 东南大学学报: 自然科学版,2011, 41(5): 982-986.
Chen Yong-jiang, Tang Wen-cheng. Establishment and experimental verification of friction torque model of miniature ball screw[J].Journal of Southeast University(Natural Science Edition), 2011, 41(5): 982-986.
13 徐向红, 汤文成, 俞涛, 等. 基于Archard理论的滚珠丝杠磨损预测[J]. 组合机床与自动化加工技术, 2016(2): 54-59.
Xu Xiang-hong, Tang Wen-cheng, Yu Tao, et al. Ball screw wear prediction based on archard theory [J]. Modular Machine Tool & Automatic Manufacturing Technique, 2016(2): 54-59.
14 Cheng Q, Qi B B, Liu Z F, et al. Positioning accuracy degradation and lifetime prediction of the ball screw considering time-varying working conditions and feed modes[J]. Proceedings of the Institution of Mechanical Engineers Part B, Journal of Engineering Manufacture, 2021, 235(6/7): 943-957.
15 Cheng Q, Qi B B, Liu Z F, et al. An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions[J]. Mechanism & Machine Theory, 2019, 134: 1-23.
16 Chen Y J, Tang W C. Dynamic contact stiffness analysis of a double-nut ball screw based on a quasistatic method[J]. Mechanism and Machine Theory, 2014, 73: 76-90.
17 赵帼娟, 张雷, 卢磊, 等. 四轴抛光平台综合误差建模及分析[J]. 吉林大学学报: 工学版, 2014, 44(6): 1676-1683.
Zhao Guo-juan, Zhang Lei, Lu Lei, et al.Modeling and analysis of the volumetric errors of four-axis polishing platform[J]. Journal of Jilin University(Engineering and Technology Edition), 2014, 44(6): 1676-1683.
18 刘庆民, 王龙山, 陈向伟, 等. 滚珠螺母的机器视觉检测[J]. 吉林大学学报: 工学版, 2006, 36(4): 534-538.
Liu Qing-min, Wang Long-shan, Chen Xiang-wei, et al. Machine vision inspection of ball nuts[J]. Journal of Jilin University(Engineering and Technology Edition), 2006, 36(4): 534-538.
19 周长光. 滚珠丝杠副预紧力衰退预测及试验研究[D]. 南京: 南京理工大学机械工程学院, 2018.
Zhou Chang-guang. Prediction and experimental research on preload decline of ball screw[D]. Nanjing: School of Machanical Engineering, Nanjing University of Science and Technology, 2018.
20 Ni Z, Qi A. Analysis of stress and fatigue life of ball screw with considering the dimension errors of balls[J]. International Journal of Mechanical Sciences, 2018, 137: 68-76.
21 Mei X S, Tsutsumi M, Tao T, et al. Study on the load distribution of ball screws with errors[J]. Mechanism and Machine Theory, 2003, 38(11):1257-1269.
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