机器人用四点接触球轴承旋转精度影响因素

doi:10.3969/j.issn.1004-132X.2020.14.006

中国机械工程 ›› 2020, Vol. 31 ›› Issue (14): 1678-1685,1692.DOI: 10.3969/j.issn.1004-132X.2020.14.006

机器人用四点接触球轴承旋转精度影响因素

陈月^1,2, 邱明^1,2, 杜辉^1,2, 杨旭^1,2

1. 河南科技大学机电工程学院, 洛阳, 471003;
2. 高端轴承先进制造与智能装备河南省工程技术研究中心, 洛阳, 471003

收稿日期:2019-06-06 出版日期:2020-07-25 发布日期:2020-08-26
通讯作者: 邱明(通信作者),女,1969年生,教授、博士研究生导师。研究方向为轴承的设计理论和动态性能评估。E-mail:qiuming69@126.com。
作者简介:陈月,男,1994年生,硕士研究生。研究方向为机械设计及理论、轴承设计原理及制造。
基金资助:
国家重点研发计划资助项目（2018YFB2000203）；河南省重大科技专项（161100210800）

Factors Influencing Rotation Accuracy of Four-point Contact Ball Bearings for Robots

CHEN Yue^1,2, QIU Ming^1,2, DU Hui^1,2, YANG Xu^1,2

1. School of Mechatronics Engineering, Henan University of Science and Technology, Luoyan, Henan, 471003;
2. High-end Bearing Advanced Manufacturing and Intelligent Equipment of Henan Engineering Tehnical Research Center, Luoyan, Henan, 471003

Received:2019-06-06 Online:2020-07-25 Published:2020-08-26

摘要/Abstract

摘要： 针对机器人用四点接触球轴承旋转精度难以预测和控制的问题，提出了同时考虑轴承内圈沟道和外圈沟道圆度误差的轴承旋转精度数值计算方法。根据轴承内部元件运动学和几何学关系建立轴承旋转精度数值计算模型。使用MATLAB编写轴承旋转精度求解程序，得到内圈沟道圆度误差幅值和谐波阶次、外圈沟道圆度误差幅值和谐波阶次、钢球直径偏差及钢球个数对轴承旋转精度的影响规律。进行了轴承旋转精度试验，验证了仿真结果的正确性。轴承旋转精度涉及很多指标，所研究的四点接触球轴承旋转精度衡量指标指轴承外圈径向跳动。结果表明：轴承外圈径向跳动随着内外沟道圆度误差幅值的增大先平稳后快速增大，随着内圈外沟道圆度误差谐波阶次的增大呈现周期性变化，随着钢球直径偏差的增大呈线性减小，随着轴承内部钢球个数的增大呈指数减小。所建模型解决了四点接触球轴承旋转精度难以进行理论求解的问题，能够准确预测轴承的旋转精度，为四点接触球轴承的精度设计提供了理论基础。

关键词: 四点接触球轴承, 旋转精度, 外圈径向跳动, 圆度误差

Abstract: In order to overcome the difficulties in predicting and controlling the rotation accuracy of the four-point contact ball bearings for robots, a numerical method for calculating the rotation errors of the bearings was proposed considering the roundness errors of inner and outer raceways. Firstly, according to the kinematics and geometry relationship of the internal components of the bearings, a numerical calculation model of the rotation errors of the bearings was established. Then, the program for calculating the rotation errors of the bearings was written using MATLAB. the effects of the magnitude and order of the roundness errors of the outer raceway, the magnitude and order of the roundness errors of the inner raceway, the diameter deviation and the number of the steel balls on the rotation accuracy of the bearings were obtained. Finally, experiments on rotation accuracy of the bearings were carried out to verify the correctness of the simulation results. The rotation accuracy of the bearings involves many indicators. The rotation accuracy of four-point contact ball bearings studied herein refers to the radial runout of outer ring of the bearings. The results show that the radial runout of outer ring of the bearings increases smoothly first and then rapidly with the increase of the magnitude of the roundness errors of the inner and outer raceways, changes periodically with the increase of the order of the roundness errors of the inner and outer raceways, decreases linearly with the increase of the diameter deviations of the steel balls and decreases exponentially with the increase of the number of the steel balls. The problem in getting the rotation accuracy of the four-point contact ball bearings theoretically is solved with the model. The rotation accuracy of the bearings may be predicted accurately and a theoretical basis may be provided for the accuracy design of the four-point contact ball bearings.

Key words: four-point contact ball bearing, rotation accuracy, radial runout of outer ring, roundness error

中图分类号:

TH133

陈月, 邱明, 杜辉, 杨旭. 机器人用四点接触球轴承旋转精度影响因素[J]. 中国机械工程, 2020, 31(14): 1678-1685,1692.

CHEN Yue, QIU Ming, DU Hui, YANG Xu. Factors Influencing Rotation Accuracy of Four-point Contact Ball Bearings for Robots[J]. China Mechanical Engineering, 2020, 31(14): 1678-1685,1692.

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http://www.cmemo.org.cn/CN/Y2020/V31/I14/1678

参考文献

[1] 刘成斌. 工业机器人轴承的研究与应用[J]. 机器人技术与应用, 2008(4):9-11. LIU Chengbin. Research and Application of Bearings for Industrial Robots[J]. Robot Technique and Application, 2008(4):9-11.
[2] HAN J W, NAM J S, PARK Y J, et al. An Experimental Study on the Performance and Fatigue Life of Pitch Bearing for Wind Turbine[J]. Journal of Mechanical Science & Technology, 2015, 29(5):1963-1971.
[3] 刘少军, 路春雨.直升机高速四点接触球轴承接触疲劳可靠性评估方法[J]. 航空动力学报, 2017(1):130-137. LIU Shaojun, LU Chunyu. Contact Fatigue Reliability Assessment Method of High Speed Four-point Contact Ball Bearing of Helicopter[J]. Journal of Aerospace Power, 2017(1):130-137.
[4] POTOCNIK R, GONCZ P, FLASKER J, et al. Fatigue Life of Double Row Slewing Ball Bearing with Irregular Geometry[J]. Procedia Engineering, 2010, 2(1):1877-1886.
[5] 李云峰, 张澎悦. 三排滚子转盘轴承的校核计算方法[J]. 中国机械工程, 2018, 29(3):267-272. LI Yunfeng, ZHANG Pengyue. Checking Calculation Method of Three Row Roller Slewing Bearings[J]. China Mechanical Engineering, 2018, 29(3):267-272.
[6] 牛荣军, 徐金超, 邵秀华, 等. 双排非对称四点接触球转盘轴承力学性能分析[J]. 机械工程学报, 2017, 38(9):1239-1248. NIU Rongjun, XU Jinchao, SHAO Xiuhua,et al. Mechanical Properties Analysis of Asymmetric Double Row Four-point-contact Slewing Bearing[J]. Journal of Mechanical Engineering, 2017, 38(9):1239-1248.
[7] AMASORRAIN I J, SAGARTZAZU X, DAMIAN J. Load Distribution in a Four Contact-point Slewing Bearing[J]. Mechanism & Machine Theory, 2003, 38(6):479-496.
[8] KANIA L, KRYNKE M, MAZANEK E. A Catalogue Capacity of Slewing Bearings[J]. Mechanism & Machine Theory, 2012, 58:29-45.
[9] 毛月新, 沈雪瑾, 陈晓阳,等. 偏载滚子轴承的接触应力分布计算及其滚子凸度设计[J]. 中国机械工程, 2009, 20(16):1918-1922. MAO Yuexin, SHEN Xuejin, CHEN Xiaoyang, et al. Study on Contact Stress Distribution of Roller Bearings and Roller Profile Design under Misaligned Loads[J]. China Mechanical Engineering, 2009, 20(16):1918-1922.
[10] 蔡素然, 陈原, 叶军, 等. 工业机器人专用薄壁密封轴承结构设计分析[J]. 轴承, 2007(12):10-13. CAI Suran, CHEN Yuan, YE Jun, et al. Structural Design and Analysis of Special Thin-wall Sealed Bearing for Industrial Robot[J]. Bearing, 2007(12):10-13.
[11] 代学良. 风力发电机组四点接触球轴承力学性能及疲劳寿命研究[D]. 重庆:重庆大学, 2016. DAI Xueliang. Study on Mechanical Properties and Fatigue Life of Four-point Contact Ball Bearings Used in Wind Turbines[D]. Chongqing:Chongqing University, 2016.
[12] 袁倩倩. 风力发电机用特大型双排四点接触转盘球轴承力学分析及优化设计[D]. 洛阳:河南科技大学, 2014. YUAN Qianqian. Mechanical Analysis and Optimization Design of Lager-size Double Row Four-point Contact Ball Bearings Used in Wind Turbines[D]. Luoyang:Henan University of Science and Technology, 2014.
[13] 吴怀超, 令狐克均, 孙官朝,等. 基于遗传算法的高速轧辊磨床磨头液体动静压轴承的优化设计[J]. 中国机械工程, 2015, 26(18):2496-2500.WU Huaichao, LINGHU Kejun, SUN Guanchao, et al. Optimization Design of Liquid Hybrid Bearing in Grinding Head of High Speed Roll Grinder Based on Genetic Algorithm[J]. China Mechanical Engineering, 2015, 26(18):2496-2500.
[14] NOGUCHI S, HIRUMA K, KAWA H, et al. The Influence of Location of Balls and Ball Diameter Difference in Rolling Bearings on the Nonrepetitive Runout (NRRO) of Retainer Revolution[J]. Precision Engineering, 2005, 29(1):11-18.
[15] JANG G H, KIM D K, HAN J H. Characterization of NRRO in a HDD Spindle System Due to Ball Bearing Excitation[J]. IEEE Transactions on Magnetics, 2001, 37(2):815-819.
[16] 余永健, 李济顺, 陈国定, 等. 圆柱滚子轴承旋转精度数值计算及试验研究[J]. 机械工程学报, 2016, 52(15):65-72. YU Yongjian, LI Jishun, CHEN Guoding, et al. Numerical Calculation and Experimental Research of Rotational Accuracy on Cylindrical Roller Bearing[J]. Journal of Mechanical Engineering, 2016, 52(15):65-72.
[17] 余永健, 李济顺, 陈国定, 等. 基于内圈滚道廓形的圆柱滚子轴承旋转精度[J]. 航空动力学报, 2017,32(1):155-161. YU Yongjian, LI Jishun, CHEN Guoding, et al. Numerical Calculation and Experimental Research of Rotational Accuracy on Cylindrical Roller Bearing[J]. Journal of Aerospace Power, 2017,32(1):155-161.
[18] 留剑, 洪军, 杨朝晖, 等. 高速精密角接触球轴承旋转精度创成机理研究[J]. 西安交通大学学报, 2011, 45(11):72-78. LIU Jian, HONG Jun, YANG Zhaohui,et al. Running Accuracy of High Speed Precision Angular Contact Ball Bearing[J]. Journal of Xi'an Jiaotong Unlversity, 2011, 45(11):72-78.
[19] TADA S. Three-dimensional Analysis of Non-repeatabal Runout in Ball Bearings[J]. KOYO Engineering Journal English Edition, 2002, 161:31-37.

机器人用四点接触球轴承旋转精度影响因素

Factors Influencing Rotation Accuracy of Four-point Contact Ball Bearings for Robots

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